coil pitch formula. ). coil pitch formula

 
)coil pitch formula 8 and for single pass(l

Effect of Coil Throw (i. 4 August 15, 2007 19 Pitch Number of coils per inch of length m 1 πD P λ=tan− August 15, 2007 20 Spring materials Steel Most common Phosphor bronze Cold wound for small size (<5/16 in) Wound from hot rolled bar August 15, 2007 21 Types of Materials Hard drawn high carbon steel Oil tempered high carbon steel Stainless steel Light-duty springs. OD is the outside diameter. Therefore, it is necessary to correct the deflection and torsional stress obtained from the basic formula, and so 0. 1^3=1. • For 5/8” tube coils, fin heights are available in increments of 1. Main Stator: Coils and Slots • The number of turns and cross section are specific to each frame size, slot combination or design, and voltage. The higher the value is, the better the response is. 0][SA] Pitch (p) is the axial distance from the center of one coil to the center of the adjacent coil. The coils are winded according to the size of the pitch. Rotor Inertia The moment of inertia of the rotor, expressed in Jm. When I began writing Part 2c, my goal was simply to code Snow's inductance formula as a simple computer program function. 1 of the next coil than the pitch of the large coil will be 1. pitch factor or coil. Coiled‐coils are structurally conserved. 2. Easily Calculate Aluminum Coil Sizes, PIW, Area, Length, and OD. The equation of the circular spiral coil, motivated by the Archimedean spiral coil can be described by. The axis z of the cylindrical. magnet width to pole pitch ratio, efficiency, power factor, and the motor inner to outer diameter ratio, respectively. An alternator having 10-poles, 3-phase, and 60 Hz has 8 conductors per slot in single layer arrangement with 4 slots/pole/phase. 8 and 1. This paper presents a design formula for a printed spiral coil to ensure the maximum quality factor (Q-factor). D - coil diameter (cm); p - winding pitch (cm); d - wire diameter (cm). For single turn loops, Maxwell's elliptic integral formula. 1 Å compared to the reflection at 5. 2 mm wire = two layers of wire = 0. helices) is a shape like a corkscrew or spiral staircase. 3 Winding Pitch. 6 D [mm] range. The coil pitch or back pitch must be approximately equal to the pole pitch. 2. Pitch ( alpha) refers to the angular displacement between sides of the coil, expressed in electrical radians. through formula nes = N 2 mbnwcc n lay, (6) where bnwccis the largest integer less than or equal to nwc. 65 m2 Vessel diameter 2700 mm Pitch 1. The distance between each "ridge" on the twisted wire. This should make the AWG conversion more. If the step-up transformer has 100 turns on its primary coil, then the secondary coil needs 500. 24 where L is the gross length of the stator and τ p is pole pitch in meter. A pole pitch is always 180 electrical degrees, regardless of the number of poles on the machine. Find the frequency of the induced emf, phase emf and line emf. We can therefore non-dimensionalize the forces and moment in the following way: C L = L q ∞ S. ᴫ 2. diameter is calculated according to the formula D = 2(r + Nd), and the number of the turns is chosen so that D max ≤ D. If the coil is with no space between the pipes the number of turns can therefore be calculated as . 61 m. Previously, all of these dimensions were measured from centre to centre of the applicable conductors (as shown in the diagram below). 912. In this paper, a simplified method for the calculation of a mutual inductance of the planar spiral coil, motivated from the Archimedean spiral, is presented. To obtain The following formula from R. ), which equals to pole pitch and the slot pitch . For a spring with recommended wire diameters, the t pitch between spring threads in free state should be within the 0. Wahl). ; It can also be defined as the ratio of the vector sum of induced emf per coil to the arithmetic sum of. This is naturally equal to the total number of armature slots divided by the number of poles in the machine. Slot pitch angle: Slot pitch is the distance between two adjacent slots. For a short pitched coil, the emfs need to be vectorially added. The Spring Pitch Calculator is a tool that helps engineers and designers to calculate the spring pitch of a helical spring. It is also called a chorded coil. Pitch Factor) To reduce weight of copper, the stator winding is constructed with a coil width less than the pole-pitch. The double integral of Neumann’s formula is. Each aerodynamic force is a function of the following parameters: F = f n ( V ∞, ρ, α, μ, a ∞) Where: V ∞ = free-stream velocity ρ = density of the medium α = angle of attack μ = viscosity of the medium a ∞ = Free stream sonic speed. A coil having a span equal to 180⁰ electrical is called a full pitch coil as shown in the figure below. The Pitch ensures that windings do not touch each other and thus give room to be pressed. Add downspouts. 1 Å compared to the reflection at 5. The total number of spring coils is equal to the active coils in the spring. 1588 mmThe Steel Coil Calculator can be used for Carbon Steel, Galvanized Steel, PPGI, Aluzinc Coils. What is the Pitch of Coil. You can use any dimentional units such as Inches or MM as per your prefererance. A helix ( / ˈhiːlɪks /; pl. Steam pressure (psig) Latent Heat. The value of the pitch factor is. Coil Span: It is the angular distance between the two sides of the coil. Let, E s = EMF induced in each coil side. You can use either inches or millimeters and you can mix. In this way, considering empty slots or unwound coils, the first condition of winding symmetry expressed by Equation (4) is always satisfied. L−HSThe pitch factor is seen to be: ( k_{p n}=sin frac{n alpha}{2}) Now for breadth factor. Winding will be done throughout the slot. Helices are important in biology, as the DNA molecule. (P) Pitch: distance between turns (D) Diameter; Length of Helix (L): The calculator returns the length of the helix in meters. Additional Information Pole Pitch: It is the angular distance between the two adjacent poles. Pitch can change from run-to-run if the coil feed mechanism varies in its setup or is showing wear. Therefore the total emf generated across the armature terminal is. The current sheet. In case of a full-pitch coil, the two coil sides span a distance exactly equal to the pole. The opposition to current flow produced by an inductor: The Spring Pitch Calculator is a tool that helps engineers and designers to calculate the spring pitch of a helical spring. In this paper, we present an analytical approach to facilitate the design of such inductors. Formula spring rate. An easy and Faster way to layout calculate length. The coil pitch was determined to be two times the wire. Each of these phasors is a chord of a circle. EC = EC1 +EC2 𝑬 𝑪 = 𝑬 𝑪 𝟏 + 𝑬 𝑪 𝟐 Since EC1 𝐸 𝐶 1 and EC2 𝐸 𝐶 2 are in phase, the resultant coil voltage is equal to their arithmetic sum ( Refer the figure of full-pitch coil ). of the machine in short pole pitch formula is slots per what is coil pitch and its effect on ac machineWhat is fractional pitch winding? Uncategorized. For the n th harmonic, the chording angle becomes nα° electrical. The following formula is used to calculate the Spring Pitch. The second plot is the field strength at Z=0 along the x-axis. ∴ e = E 1 + E 2 = 2E. However for semi enclosed slots it may become less than 15 mm. 29 degree. Pitch Factor is calculated by dividing the coil throw (–) 1 (coil span), by the number of slots per pole. L 0 = Free Length (m) L s = Solid Length (m) n t = Total number of coils n = Number of active coils p = pitch (m). You can then use the formula: R = V / I. through formula nes = N 2 mbnwcc n lay, (6) where bnwccis the largest integer less than or equal to nwc. The DNA can coil up into a "supercoil" topology and maintain the desired twist value (10. machine has a large number of coils in slots in the armature and the distance between opposite sides of the coil is as near to a pole pitch as possible (Fig. It is always 180° electrical. 5 D, the coil diameter generally changes with an increase in deflection (load). This calculator uses the Lorenz solenoid current sheet formula for coils having more than one turn. Lap winding • Suppose we want to make a lap winding for a P = 4 pole D. 4 are the elastic modulus E, the shear modulus G=E/ 2 1+ with a Poisson ratio , the cross-sectional area A= d2/4 with a wire diameter d,The winding calculator allows you to find the optimum winding layout for your electric motor in a fast and convenient way. A single-layer inductor is shown in the picture above: D c is the coil diameter, D is the coil former diameter, l is the coil length, p is the coil pitch, d is the wire without insulation diameter and d i is the wire with insulation diameter. This requires correction of the deflection and torsional stress values obtained by the basic formulae. in each coil side. This distance is measured in terms of armature slots or armature conductors come between two adjacent pole centers. Pitch Factor or Coil Span Factor is definite as the ratio of emf generated in short pitch coil to the emf generated in full pitch coil. Two main parts of motor are rotor and stator. m. A SIMPLE explanation of what a pole pitch is in a generator or rotating machine. D) The Helical Formula, and Coils of Large Pitch. The machine runs on 150V and draws 7A on that voltage. Though the formulas . Total coil length, L t =N*L 1. The calculator is designed to accept the total line voltage and current of the combined three cables. 3. ; 1 full pitch = 180° It is denoted by K p and its value is always less than unity. where: SP is the spring pitch in. Closed and Ground. This type of coiling design offers a number of advantages, and a wide range of products depend on variable pitch springs to deliver optimal performance. Coil span or coil pitch. 2 and 1. Calculations are typically done using the formula: Heating Coil Capacity (BTU/hr) = Flow Rate (GPM) x Temperature Rise (°F) x 500, with. 5D or smaller. 050 T) = 2. coil pitch in terms of slots4. Di = inner coil diameter . The coil is generally shorted by one or two slots. 1416, r is the coil radius, and p is the pitch. It is expressed in terms of electrical space degree. The flux linked is: 2NlRBn nπ nα λ = sin( )sin( ) (21) np 2 2 Using the definition (14), the pitch factor is seen to be: nα kpn = sin (22) 2 4. The basic parameters of the coiled-coil are its pitch (periodicity of the supercoil), the associated pitch (or supercoil) angle (angle of the helix with respect to the supercoil. By minimizing the metal resistance, a. ). If the blank size varies, so does the location. You can investigate three-phase integer-slot, fractional-slot and concentrated windings, both with single and double winding layers where appropriate. L = Stretch in inches* (30000000*Area)/Force/12. 2. Introduction. Learn what a pole pitch is, the pole pitch formula & definition, and how to. Pitch If the pitch exceeds 0. 8 and for single pass(l. This tool is designed to calculate the inductance of a coil of wire given the length of the coil, the number of turns, the loop radius, and the permeability of the core material. f. Resultant pitch (Y R): Distance between the starts of two successive coils. You can Save Time on your Fabrication Layouting process. in Gross et. 02 Wb, sinusoidally distributed and the speed is 375 rpm. 3 wraps of coil Multiply average wrap length 78” x 192. These are refered to as MASTER coils. 100. The spring is made longer than needed, then compressed to solid height, intentionally exceeding the yield strength. Y f = (2S / P) -1. The Length of a Helix calculator computes the linear length of a spiral or helix where the helix is pulled into a straight line. AWG is converted to diameter by using the formula that defines AWG. The coil is referred to as a fractional pitch coil when the angular distance between the sides of the coil is less than the angular distance between adjacent field pole centers. 75 inch or 1. Additionally, is the slot number while p is the rotor pole pair number. It can also be observed that, coil sides are connected in series in such a way that emf induced in coil side at 1 and 10 are additive. , or 5/6 × 180° = 150 electrical degrees. Spec Name Spec Input; ID (16 - 36) OD (ID - 84) Width (0. 3 D ≤ t ≤ 0. 17 µH; and for 18 gauge wire it’s 1. 005 - 0. If the coil span is equal to the Pole pitch then it is called a full pitch coil. The coil pitch was determined to be two times the wire. In Unilab Coils it’s not possible to insert more than one fin pitch in the same project, but you can calculate anyway a coil with variable fin pitch, simply considering a “medium” fin pitch resulting from a weighted mean of the real fin pitches. Coil pitch or coil span is defined as the angular distance between the two coil sides of one coil. induced in all the coils under one pole to the arithmetic sum of the induced e. Symbol. 7 times the inner coil diameter. Once the results are obtained from this calculator, the coil can be easily modelled as a Laplace load within any EZNEC antenna model. These emfs must have same wave shape and be displaced by 1200 to each. Back pitch (Y b): It is the span of the coil from the back end. ∴ Pole Pitch = (Number of armature slots. In relation to pitch and length, calculate the number of turns that are required to make the helix 120 mm long if the pitch of a helical structure is 10 mm. I need to find the number of turns and the wire's diameter. We are very sorry but it seems like there is no specific formula for this. The. e. For lap winding, Y = yb – yf. In determining the total number of coils in the spring, the. To calculate the resistance of a moving coil meter, you need to first determine the voltage across the coil and the current flowing through it. For example, you can consider a coil with length = 1000 mm, where there are three parts: the. The Coil Span Factor or Pitch Factor K C is defined as the ratio of the voltage generated in the short pitch coil to the voltage generated in the full pitch coil. CL = (5-3) * pi = 6. f. In practice, short pitch coils are preferred. 307 Mpx. CT Ratio = 400:1. In the formula: n - the number of spirals. coil cross sections and L c is the total length of the coil, that is L c = n 2 R /cos 13 and there are n coils in the spring. If the coil pitch is equal to the pole pitch, then it is called a full pitch coil. The actual coil I built. P = No. . , 2011). Spread the love. • Coils typically span into two slots in the core, so there are two coils per slot. 5D or smaller. 00625 in = 0. L−HS The pitch factor is seen to be: \(\ k_{p n}=\sin \frac{n \alpha}{2}\) Now for breadth factor. For air core coil, μs=1. INSTRUCTIONS: Choose units and enter the following: (H) Height (P) Pitch: distance between turns (D) Diameter Length of Helix (L): The calculator returns the length of the helix in meters. when carrying current, the field coils being unexcited. Verify that the pitch of the spring is notA screw thread, often shortened to thread, is a helical structure used to convert between rotational and linear movement or force. β is the angular distance between a full pitch and short pitch coils. I 一 the length of the coil in meters. H wb. Where. Steel Coil Calculator Determine Your Needs. Free length of spring is defined as the axial length of an unloaded helical compression spring. The basic parameters of the coiled-coil are its pitch (periodicity of the supercoil), the associated pitch (or supercoil) angle (angle of the helix with respect to the supercoil axis), and the. Draw the thread profile. To support tubes in heat exchangers. 0 mm. d = wire diameter. The pitch factors for the fundamental component, fifth harmonic, and seventh harmonic of the induced voltage for the given 3-phase AC machine are 0. The pitch is the distance from center to center of the wire in adjacent active coils. Therefore, the pitch should be 0. The pitch can generally be estimated using the following simplified formula. Counting the number of coils on a spring can be tricky. In the close-winding coil case, it's assumed that the gap. Where d o is the coil's pipe external diameter. Weaver’s article Numerical Methods for Inductance Calculation is used for calculations of. Using the Neumann integral formula, the expression of inductance is obtained. The sum of the back pitch and the front pitch is nearly equal to the pole pitch of the winding. Back pitch (Y b): It is the span of the coil from the back end. 2) The emf developed in the winding is the directly proportional number of turns and independent of the pitch factor and distribution factor. Commutator PitchInductance. It may even be found by applying Fleming’s Right-hand Rule. The winding pitch cannot exceed the doubled wire diameter; The coil diameter cannot be greater than the doubled diameter of the rod; The winding length should be less than 3/4 length of the rod; When the coil is shifting it should not reach the edge of the core 1/8 of its length; The initial magnetic permeability of the rod should be greater. ∮ E → ⋅ d l → = ∮ E d l = 2 π r E. In relation to pitch and length, calculate the number of turns that are required to make the helix 120 mm long if the pitch of a helical structure is 10 mm. So, a discrete coil ends on the 2 nd commutator down from where it ongoing, and Yc=+-2. Strictly, the length of each coil is the hypothenuse of a triangle having a base equal to the circumference of the pitch-diameter of the coil and an altitude equal to the pitch of the coil from center to center. Single-layer coil with winding pitch can be calculated as a singlelayer coil with close-winding. 5 mm thickness. Using the examples in 1 through 3 above: Pitch Factor = 1 to 9 throw (-) 1 8 48. (2) θ = 2 π N. Loop Inductance Calculator. 707, 0. The resistance of 1 coil is 16,5 ohms. Use a coil as a guide to apply the custom profile and sweep it along the 3D geometry. Please contact Newcomb Spring directly to test and confirm the feasibility of any design. The program uses formula published in the ARRL Handbook For Radio Amateurs and other radio publications. Lbs condensate per hour = BTU per hr of coil / *Latent heat of steam *Assumes saturated steam. It may be simplest feature to measure, but the number of coils accounts for an astonishing number of errors in drawings and in new product development. μs 一 relative permeability of the magnetic core. Number of Commutator Segments - Number of Commutator Segments is the count of cylindrical assembly of insulated segments that are mounted on the shaft of the. 392699 = (pi*0. If the coil pitch is equal to the pole pitch, then it is called a full pitch coil. Additional Information Pole Pitch: It is the angular distance between the two adjacent poles. The following formula from R. For a full- pitch coil α = π. 1 m due to the bending limits of the pipe. Enter the coil spacing or pitch, S = 0. 2: Pitch and spring index. The following formula from R. Y b = (2S / P) + 1. kd = (Vector sum of the c. Follow the formula below to calculate the spring pitch of a coil spring with open ends. The function of a compression spring is to withstand a certain pressure perpendicular to that spring. 5 mil spacing between turns, wrapping the turns around a 20 mil pin vice, you can make the following air-coil values: 1 turn= 2 nH 2 turns= 5 nH 3 turns = 8 nHAny variation in coil width will change the blank size and affect the location of the blank. Here, e = E 1 = E 2 = Ecoil and, if N is the number of active coils, izDN equals the length of wire, closely enough for practical uses. The Front Pitch for DC Machine formula is defined as the coil advances on the back of the armature. m, f, s in all the coils under one pole)/ (Arithmetic sum of induced e. Draw the double layer winding layout for a 24 slot stator and 4 pole alternator 3. ; Here, e = E 1 = E 2 = E. The phase belt is defined as the group of adjacent coil-sides belonging to a phase, as shown in Fig. l——Spiral length. It is a type of smooth space curve with tangent lines at a constant angle to a fixed axis. What is the formula of pitch circle diameter? Tpi=1/p. 2]. m. We take as a reference frame cylindrical polar coordinate system (r, θ, z). pole pitch5. This spring stiffness calculator will calculate all of the values required to determine whether the spring will be stiff enough to meet its requirements. For air, enthalpy is expressed in BTU/lb of. 4 mm) are selected for the studies. If the number of coil span is equal to pole pitch, then the winding is called full pitch whereas no. For example, if there are 36 slots and 4 poles, then the coil pitch is 36/4 = 9 slots. Pitch Formula Pdf below. The total length of the wire used to create the coil. Three phase asynchronous motor is most common used motor in the world. It is always less than unity (K c < 1). In the performance of. The Coil Length Calculator is invaluable for engineers and designers when creating coils for various applications, including inductors in electronic circuits, electromagnets, and transformers. 5. The pitch angle and pitch can vary along the helix. f. When the winding is full pitched, coil span is equal to the pole pitch. It is placed at the center of a long solenoid that has 15 turns/cm and a cross-sectional area of 10 cm2, as shown below. of turns 25. Y b = (2S / P) +1. The deflection before the coils are. Finally, calculate the Coil Length using the equation above: CL = (OD-WD) * pi. Inductance is the property of the coil and tells how good the coil can store magnetic energy. Set Removal Set removal or presetting is a process used in manufacturing a spring to induce useful residual stresses. The factor of sqrt 3 3 is needed to convert between the system's phase current and line current. The flow of heat into or out of the liquid, involves unsteady or transient heat transfer. 3 wraps = 14,999. Resultant pitch (Y R): Distance between the starts of two successive coils. Please note all results and spring functionality are for design purposes only and are not guaranteed accurate. An advanced analytical spring model is proposed in this study to address the non-linear effects of variable coil diameter, spring pitch and coil contact that. INSTRUCTIONS: Choose units and enter the following: (H) Height (P) Pitch: distance between turns (D) Diameter Length of Helix (L): The calculator returns the length of the helix in meters. 2. Important points: Back pitch Y B the distance between the top and bottom coil sides of a coil measured around the back of armature is called back pitch. Formulas. Now the ratio of the vector sum to the arithmetic sum of the induced e. Therefore, the pitch for each coil will change as a function of D^3. A pole pitch is always 180 electrical degrees, regardless of the number of poles on the machine. This is quite unfavorable due to the geometry. So, if this is one-fifth the number of turns in the secondary coil, then in order for the relationship to hold true, the secondary coil must have 500 turns. The phase belt is defined as the group of adjacent coil-sidesVariable pitch springs are springs that do not have constant coil spacing. If, Z = the number of conductors P = number of poles YB = Back pitch YF = Front pitch YC = Commutator pitch YA = Average pole pitch YP = Pole pitch YR. 2 Breadth Factor Now for breadth factor. 2. Since the maximum frequency is given as 100 Hz, we can calculate the coil pitch using the formula: Coil pitch = Speed / (2 * Frequency) Given that the speed is 540 km/h (or 150 m/s) and the frequency is 100 Hz, we can calculate the coil pitch as follows. What is the coil span for a 4 pole 48 slot machine? Explanation: Slots per pole = 48/4=12, for a coil span of 10 slots, the coil is short pitched by 2 slots and the chording angle is ε=2γ and γ=180/12 ⇒ ε = 30° ⇒ Kp=cosε/2=0. When the winding is short pitched, coil span is less than the pole pitch. 48 m Total length of coil 215. You can easily derive a more accurate formula by using the Pythagorean theorem. Calculator. (iii) All coils have the same pitch. The distance between the two sides of a coil is called the coil-pitch. The shell and tube exchanger consists of four major parts: Front Header—this is where the fluid enters the tubeside of the exchanger. If the span of the coil is reduced by an angle of electrical, then the coil span will be (180 − α) electrical degrees. The stiffness of your spring depends on the proportion of each spring dimension with all the others. 50” • For 1/2" tube coils, fins are available in increments of 1. 3 τ p + 0. Front pitch (Y f): It is the span of the coil from the front end. The smaller the value is, the quicker the response is. n = (0. A = number of parallel paths. 20um away, at x=250um, the field strength is 0. For example, if the large coil diameter equals 1. 50 x OD Vessel TL legth 3050 mm Limpet coil PCD 2700 mm Limpet coil OD 80 mm No. Get Started. (1 – 0. Watch to understandPole Pitch, Full Pitch Coil, Short Pitch Coil, Coil span, Mechanical & Electrical DegreeThere are many people who want to. Let the angle α be the angle of inclination of the helix with any plane perpendicular to the axis of the coil (pitch angle, lead angle). In this equation, the C is the no of coils on rotor and P is no of poles. Corresponding analytical equations are given to present the design process of the VTP coils. The formula for calculating spring pitch is: SP = (L – 3*D) / NA. On the other hand, if we do not have the dimensions of the coil but only the total weight, thickness and width of the sheet, we. You can then calculate the pitch in between the coils using the free length and the amount of coils you decided to use. The coil can produce a uniform. A helix, sometimes also called a coil, is a curve for which the tangent makes a constant angle with a fixed line. 923 respectively. m. Y b = (2S / P) +1. This paper presents a design formula for a printed spiral coil to ensure the maximum quality factor (Q-factor). The Coil64 application allows you to calculate 4 types of single-layer winding. This is the direction of the applied magnetic field. Only in the case of an open spring is N a equal to N t. if the winding would have been in one slot. As they are usually ran through a slitter to be broke down into coils of different widths. Rear Header—this is where the tubeside fluid leaves the exchanger or where it is returned to the front header in exchangers with multiple tubeside passes. 02 wb, N = 375 rpm, for full pitch coil, K p = 1. g. F. This formula is equivalent to the circumference each loop of the wire makes times the number of such loops in the coil. Hence the resultant e. Only the amendment to the resulting inductance is added: where: ΔL is the amendment to the inductance of the close-winding coil (always negative) (µH) N - number of turns Pitch α refers to the angular displacement between sides of the coil, expressed in electrical radians. if you are using Inches as units for your input. Given parameters: P = 16, slots = 144 , Z = 10 conductors per slot, Φ = 0. Length = 120mm Pitch = 10mm 4. Electronics 2022, 11, 750 3 of 10 The radius of the curvature (outer radius) of the original R1 and its fictitious spiral coil R2 are shown in Equations (5) and (6). You Can save the Cost of Material by using this calculator. The spring pitch is the distance between corresponding points on adjacent coils, typically measured in inches per coil. 3). Now, computing the wire lengths using 2pi x r and the. First, determine the outer diameter. Formula for Spring Pitch: (L – d) ÷ Na = p. Tubes must be supported at intervals not more than 1. A pole pitch in an electrical machine is equal to 180° electrical. 5 inch. It is the angular distance between two sides of a coil, measured in terms of armature slots. A regular winding will have a number (say m) coil elements, separated by electrical angle ( gamma). . Click Calculate. f. It is equal to the number difference of the conductor connected to a given segment of the commutator and is represented as Y F = ((2* n slot )/ P )-1 or Front. .