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Field Resistance Formula

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Field resistance refers to the electrical resistance of the field winding or field coil in a machine such as a generator or motor. Check FAQs

R f = \frac{T c \cdot ρ \cdot L mt}{A f}

R_f - Field Resistance?T_c - Turns per Coil?ρ - Resistivity?L_mt - Length of Mean Turn?A_f - Area of Field Conductor?

Field Resistance Example

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Here is how the Field Resistance equation looks like with Values.

Here is how the Field Resistance equation looks like with Units.

Here is how the Field Resistance equation looks like.

0.51 = \frac{204 \cdot 2.5E-5 \cdot 0.25}{0.0025}

0.51Ω = \frac{204 \cdot 2.5E-5Ω*m \cdot 0.25m}{0.0025m²}

0.51 = \frac{204 \cdot 2.5E-5 \cdot 0.25}{0.0025}

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Field Resistance Solution

Follow our step by step solution on how to calculate Field Resistance?

FIRST Step Consider the formula

R f = \frac{T c \cdot ρ \cdot L mt}{A f}

Next Step Substitute values of Variables

∴

R f = \frac{204 \cdot 2.5E-5Ω*m \cdot 0.25m}{0.0025m²}

Next Step Prepare to Evaluate

∴

R f = \frac{204 \cdot 2.5E-5 \cdot 0.25}{0.0025}

LAST Step Evaluate

∴

R f = 0.51Ω

Field Resistance Formula Elements

Variables

Field Resistance

Field resistance refers to the electrical resistance of the field winding or field coil in a machine such as a generator or motor.

Symbol: R_f

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Field Resistance

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.

Symbol: T_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Turns per Coil

Resistivity

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.

Symbol: ρ

Measurement: Electric ResistivityUnit: Ω*m

Note: Value can be positive or negative.

Formulas to find Resistivity

Length of Mean Turn

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.

Symbol: L_mt

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Mean Turn

Area of Field Conductor

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.

Symbol: A_f

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Field Conductor

Other formulas in Electrical Parameters category

Go Specific Electric Loading

q av = \frac{I a \cdot Z}{π \cdot n || \cdot D a}

Go Specific Electric Loading using Output Coefficient AC

q av = \frac{C o(ac) \cdot 1000}{11 \cdot B av \cdot K w}

Go Winding Factor using Output Coefficient AC

K w = \frac{C o(ac) \cdot 1000}{11 \cdot B av \cdot q av}

Go Output Power of Synchronous Machine

P o = C o(ac) \cdot 1000 \cdot {D a}^{2} \cdot L a \cdot N s

How to Evaluate Field Resistance?

Field Resistance evaluator uses Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor to evaluate 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 evaluate Field Resistance using this online evaluator? To use this online evaluator 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.

FAQs on Field Resistance

What is the formula to find Field Resistance?

The formula of Field Resistance is expressed as Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor. Here is an example- 0.51 = (204*2.5E-05*0.25)/0.0025.

How to calculate Field Resistance?

With Turns per Coil (T_c), Resistivity (ρ), Length of Mean Turn (L_mt) & Area of Field Conductor (A_f) we can find Field Resistance using the formula - Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor.

Can the Field Resistance be negative?

No, the Field Resistance, measured in Electric Resistance cannot be negative.

Which unit is used to measure Field Resistance?

Field Resistance is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Field Resistance can be measured.

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Field Resistance Formula

Field Resistance Example

Field Resistance Solution

Field Resistance Formula Elements

Other formulas in Electrical Parameters category

How to Evaluate Field Resistance?

FAQs on Field Resistance

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