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Resistance of Coil in Transfer Type Potentiometer Formula

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Coil Resistance refers to the electrical resistance of the wire making up an inductor or a coil. Check FAQs

R c = \frac{R o \cdot V c}{V s} \cdot \cos (θ c - θ s)

R_c - Coil Resistance?R_o - Output Resistance?V_c - Voltage across Coil?V_s - Voltage across Shunt?θ_c - Coil Phase Angle?θ_s - Standard Resistor Phase Angle?

Resistance of Coil in Transfer Type Potentiometer Example

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Here is how the Resistance of Coil in Transfer Type Potentiometer equation looks like with Values.

Here is how the Resistance of Coil in Transfer Type Potentiometer equation looks like with Units.

Here is how the Resistance of Coil in Transfer Type Potentiometer equation looks like.

5.285 = \frac{5.45 \cdot 20}{18} \cdot \cos (1.02 - 0.51)

5.285Ω = \frac{5.45Ω \cdot 20V}{18V} \cdot \cos (1.02rad - 0.51rad)

5.285 = \frac{5.45 \cdot 20}{18} \cdot \cos (1.02 - 0.51)

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Resistance of Coil in Transfer Type Potentiometer Solution

Follow our step by step solution on how to calculate Resistance of Coil in Transfer Type Potentiometer?

FIRST Step Consider the formula

R c = \frac{R o \cdot V c}{V s} \cdot \cos (θ c - θ s)

Next Step Substitute values of Variables

∴

R c = \frac{5.45Ω \cdot 20V}{18V} \cdot \cos (1.02rad - 0.51rad)

Next Step Prepare to Evaluate

∴

R c = \frac{5.45 \cdot 20}{18} \cdot \cos (1.02 - 0.51)

Next Step Evaluate

∴

R c = 5.28495285185483Ω

LAST Step Rounding Answer

∴

R c = 5.285Ω

Resistance of Coil in Transfer Type Potentiometer Formula Elements

Variables

Functions

Coil Resistance

Coil Resistance refers to the electrical resistance of the wire making up an inductor or a coil.

Symbol: R_c

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Coil Resistance

Output Resistance

Output resistance is defined as how much resistance an output port of a device presents to the load connected to it.

Symbol: R_o

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Output Resistance

Voltage across Coil

Voltage across Coil refers to the potential difference measured across the coil terminals due to the rate of change of magnetic flux, following Faraday's law of electromagnetic induction.

Symbol: V_c

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Voltage across Coil

Voltage across Shunt

Voltage across Shunt refers to the potential difference measured across a resistor connected in parallel to the load, proportional to the current flowing through the shunt according to Ohm's law.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Voltage across Shunt

Coil Phase Angle

Coil Phase Angle is the angle by which the current lags behind the voltage in an inductive coil when an alternating current (AC) passes through it.

Symbol: θ_c

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Coil Phase Angle

Standard Resistor Phase Angle

Standard Resistor Phase Angle is the phase difference between the voltage across the resistor and the current flowing through it.

Symbol: θ_s

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Standard Resistor Phase Angle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in AC Circuits category

Go Voltage Magnitude of AC Potentiometer

V = \sqrt{{V 1}^{2} + {V 2}^{2}}

Go AC Potentiometer Phase Angle

θ c = a \tan (\frac{V 2}{V 1})

Go Effective Resistance in Coordinate Type Potentiometer

R o = \frac{S \cdot V c}{V s}

Go Potentiometer Voltage

V o = \frac{V l}{R d}

How to Evaluate Resistance of Coil in Transfer Type Potentiometer?

Resistance of Coil in Transfer Type Potentiometer evaluator uses Coil Resistance = (Output Resistance*Voltage across Coil)/(Voltage across Shunt)*cos(Coil Phase Angle-Standard Resistor Phase Angle) to evaluate the Coil Resistance, The Resistance of Coil in Transfer Type Potentiometer formula is used to calculate the resistance in a network that employs a transfer type potentiometer. Coil Resistance is denoted by R_c symbol.

How to evaluate Resistance of Coil in Transfer Type Potentiometer using this online evaluator? To use this online evaluator for Resistance of Coil in Transfer Type Potentiometer, enter Output Resistance (R_o), Voltage across Coil (V_c), Voltage across Shunt (V_s), Coil Phase Angle (θ_c) & Standard Resistor Phase Angle (θ_s) and hit the calculate button.

FAQs on Resistance of Coil in Transfer Type Potentiometer

What is the formula to find Resistance of Coil in Transfer Type Potentiometer?

The formula of Resistance of Coil in Transfer Type Potentiometer is expressed as Coil Resistance = (Output Resistance*Voltage across Coil)/(Voltage across Shunt)*cos(Coil Phase Angle-Standard Resistor Phase Angle). Here is an example- 6.055556 = (5.45*20)/(18)*cos(1.02-0.51).

How to calculate Resistance of Coil in Transfer Type Potentiometer?

With Output Resistance (R_o), Voltage across Coil (V_c), Voltage across Shunt (V_s), Coil Phase Angle (θ_c) & Standard Resistor Phase Angle (θ_s) we can find Resistance of Coil in Transfer Type Potentiometer using the formula - Coil Resistance = (Output Resistance*Voltage across Coil)/(Voltage across Shunt)*cos(Coil Phase Angle-Standard Resistor Phase Angle). This formula also uses Cosine (cos) function(s).

Can the Resistance of Coil in Transfer Type Potentiometer be negative?

No, the Resistance of Coil in Transfer Type Potentiometer, measured in Electric Resistance cannot be negative.

Which unit is used to measure Resistance of Coil in Transfer Type Potentiometer?

Resistance of Coil in Transfer Type Potentiometer 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 Resistance of Coil in Transfer Type Potentiometer can be measured.

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Resistance of Coil in Transfer Type Potentiometer Formula

Resistance of Coil in Transfer Type Potentiometer Example

Resistance of Coil in Transfer Type Potentiometer Solution

Resistance of Coil in Transfer Type Potentiometer Formula Elements

Other formulas in AC Circuits category

How to Evaluate Resistance of Coil in Transfer Type Potentiometer?

FAQs on Resistance of Coil in Transfer Type Potentiometer

Variable Name