Field Resistance Calculator

✖Turns per coil refers to the number of turns or windings of wire in each coil of the machine's winding system.ⓘ Turns per Coil [T_c]			+10% -10%
✖Resistivity plays a crucial role in the design of electrical machines. It is a property that characterizes the resistance of a material to the flow of electric current.ⓘ Resistivity [ρ]			+10% -10%
✖Length of mean turn is calculated using an empirical formula lmt = 2L+2.5τp+0.06kv+0.2 where L is the gross length of the stator and τp is pole pitch in meter.ⓘ Length of Mean Turn [L_mt]			+10% -10%
✖Area of field conductor is the cross-sectional area of a wire is directly proportional to the square of its radius (A = πr2), and hence to the diameter of the wire as well.ⓘ Area of Field Conductor [A_f]			+10% -10%

✖Field resistance refers to the electrical resistance of the field winding or field coil in a machine such as a generator or motor.ⓘ Field Resistance [R_f]

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Formula

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Field Resistance

Formula

`"R"_{"f"} = ("T"_{"c"}*"ρ"*"L"_{"mt"})/"A"_{"f"}`

Example

`"0.51Ω"=("204"*"2.5e-5Ω*m"*"0.25m")/"0.0025m²"`

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Field Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor
R_f = (T_c*ρ*L_mt)/A_f
This formula uses 5 Variables

Variables Used

Field Resistance - (Measured in Ohm) - Field resistance refers to the electrical resistance of the field winding or field coil in a machine such as a generator or motor.
Turns per Coil - Turns per coil refers to the number of turns or windings of wire in each coil of the machine's winding system.
Resistivity - (Measured in Ohm Meter) - Resistivity plays a crucial role in the design of electrical machines. It is a property that characterizes the resistance of a material to the flow of electric current.
Length of Mean Turn - (Measured in Meter) - Length of mean turn is calculated using an empirical formula lmt = 2L+2.5τp+0.06kv+0.2 where L is the gross length of the stator and τp is pole pitch in meter.
Area of Field Conductor - (Measured in Square Meter) - Area of field conductor is the cross-sectional area of a wire is directly proportional to the square of its radius (A = πr2), and hence to the diameter of the wire as well.

STEP 1: Convert Input(s) to Base Unit

Turns per Coil: 204 --> No Conversion Required
Resistivity: 2.5E-05 Ohm Meter --> 2.5E-05 Ohm Meter No Conversion Required
Length of Mean Turn: 0.25 Meter --> 0.25 Meter No Conversion Required
Area of Field Conductor: 0.0025 Square Meter --> 0.0025 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_f = (T_c*ρ*L_mt)/A_f --> (204*2.5E-05*0.25)/0.0025

Evaluating ... ...

R_f = 0.51

STEP 3: Convert Result to Output's Unit

0.51 Ohm --> No Conversion Required

FINAL ANSWER

0.51 Ohm <-- Field Resistance

(Calculation completed in 00.004 seconds)

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< 13 Electrical Parameters Calculators

Specific Electric Loading

Go Specific Electric Loading = (Armature Current*Number of Conductors)/(pi*Number of Parallel Paths*Armature Diameter)

Output Coefficient using Output Equation

Go Output Coefficient AC = Output Power/(Armature Core Length*Armature Diameter^2*Synchronous Speed*1000)

Synchronous Speed using Output Equation

Go Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length)

Output Power of Synchronous Machine

Go Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed

Field Resistance

Go Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor

Specific Electric Loading using Output Coefficient AC

Go Specific Electric Loading = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Winding Factor)

Winding Factor using Output Coefficient AC

Go Winding Factor = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Specific Electric Loading)

Current per Phase

Go Current per Phase = (Apparent Power*1000)/(Induced Emf per Phase*3)

Current in Conductor

Go Current in Conductor = Current per Phase/Number of Parallel Paths

Field Coil Voltage

Go Field Coil Voltage = Field Current*Field Resistance

Field Current

Go Field Current = Field Coil Voltage/Field Resistance

Apparent Power

Go Apparent Power = Rated Real Power/Power Factor

Short Circuit Ratio

Go Short Circuit Ratio = 1/Synchronous Reactance

Field Resistance Formula

Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor
R_f = (T_c*ρ*L_mt)/A_f

How do you calculate field resistance?

Call this value R. Calculate the field current for the motor using the formula I = V/R where I is the field current. As an example, assume V is 40 volts and R is 500 ohms: I = 40/500 = 0.08 amps.

What is meant by field winding?

A field winding is the insulated current-carrying coils on a field magnet that produce the magnetic field needed to excite a generator or motor. As each coil is energized in turn, the rotor aligns itself with the magnetic field produced by the energized field winding.

How to Calculate Field Resistance?

Field Resistance calculator uses Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor to calculate the Field Resistance, Field resistance is resistance of each field coil at 75 °C.Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms. Field Resistance is denoted by R_f symbol.

How to calculate Field Resistance using this online calculator? To use this online calculator for Field Resistance, enter Turns per Coil (T_c), Resistivity (ρ), Length of Mean Turn (L_mt) & Area of Field Conductor (A_f) and hit the calculate button. Here is how the Field Resistance calculation can be explained with given input values -> 0.51 = (204*2.5E-05*0.25)/0.0025.

FAQ

What is Field Resistance?

Field resistance is resistance of each field coil at 75 °C.Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms and is represented as R_f = (T_c*ρ*L_mt)/A_f or Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor. Turns per coil refers to the number of turns or windings of wire in each coil of the machine's winding system, Resistivity plays a crucial role in the design of electrical machines. It is a property that characterizes the resistance of a material to the flow of electric current, Length of mean turn is calculated using an empirical formula lmt = 2L+2.5τp+0.06kv+0.2 where L is the gross length of the stator and τp is pole pitch in meter & Area of field conductor is the cross-sectional area of a wire is directly proportional to the square of its radius (A = πr2), and hence to the diameter of the wire as well.

How to calculate Field Resistance?

Field resistance is resistance of each field coil at 75 °C.Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms is calculated using Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor. To calculate Field Resistance, you need Turns per Coil (T_c), Resistivity (ρ), Length of Mean Turn (L_mt) & Area of Field Conductor (A_f). With our tool, you need to enter the respective value for Turns per Coil, Resistivity, Length of Mean Turn & Area of Field Conductor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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