Resistance of Coil in Transfer Type Potentiometer Calculator

✖Output resistance is the value of resistance of the network.ⓘ Output Resistance [R_o]			+10% -10%
✖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.ⓘ Voltage across Coil [V_c]			+10% -10%
✖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.ⓘ Voltage across Shunt [V_s]			+10% -10%
✖Phase Angle in Coil refers to the angular displacement between the voltage and current waveforms due to the coil's inductance, determined by the ratio of inductive reactance to resistance.ⓘ Phase Angle in Coil [θ_c]			+10% -10%
✖Phase Angle in Shunt refers to the angular displacement between the voltage and current in an electrical circuit containing a shunt resistor, indicating the phase relationship between them.ⓘ Phase Angle in Shunt [θ_s]			+10% -10%

✖Resistance of Coil refers to its opposition to the flow of electric current, determined by factors such as wire material, length, and cross-sectional area, following Ohm's law (V = IR).ⓘ Resistance of Coil in Transfer Type Potentiometer [R_c]

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Formula

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Resistance of Coil in Transfer Type Potentiometer

Formula

`"R"_{"c"} = ("R"_{"o"}*"V"_{"c"}/"V"_{"s"})*cos("θ"_{"c"}-"θ"_{"s"})`

Example

`"-15.055633Ω"=("5.45Ω"*"20V"/"5.5V")*cos("30rad"-"15rad")`

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Resistance of Coil in Transfer Type Potentiometer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resistance of Coil = (Output Resistance*Voltage across Coil/Voltage across Shunt)*cos(Phase Angle in Coil-Phase Angle in Shunt)
R_c = (R_o*V_c/V_s)*cos(θ_c-θ_s)
This formula uses 1 Functions, 6 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Resistance of Coil - (Measured in Ohm) - Resistance of Coil refers to its opposition to the flow of electric current, determined by factors such as wire material, length, and cross-sectional area, following Ohm's law (V = IR).
Output Resistance - (Measured in Ohm) - Output resistance is the value of resistance of the network.
Voltage across Coil - (Measured in Volt) - 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.
Voltage across Shunt - (Measured in Volt) - 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.
Phase Angle in Coil - (Measured in Radian) - Phase Angle in Coil refers to the angular displacement between the voltage and current waveforms due to the coil's inductance, determined by the ratio of inductive reactance to resistance.
Phase Angle in Shunt - (Measured in Radian) - Phase Angle in Shunt refers to the angular displacement between the voltage and current in an electrical circuit containing a shunt resistor, indicating the phase relationship between them.

STEP 1: Convert Input(s) to Base Unit

Output Resistance: 5.45 Ohm --> 5.45 Ohm No Conversion Required
Voltage across Coil: 20 Volt --> 20 Volt No Conversion Required
Voltage across Shunt: 5.5 Volt --> 5.5 Volt No Conversion Required
Phase Angle in Coil: 30 Radian --> 30 Radian No Conversion Required
Phase Angle in Shunt: 15 Radian --> 15 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_c = (R_o*V_c/V_s)*cos(θ_c-θ_s) --> (5.45*20/5.5)*cos(30-15)

Evaluating ... ...

R_c = -15.0556331821112

STEP 3: Convert Result to Output's Unit

-15.0556331821112 Ohm --> No Conversion Required

FINAL ANSWER

-15.0556331821112 ≈ -15.055633 Ohm <-- Resistance of Coil

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Potentiometer » AC Circuits » Resistance of Coil in Transfer Type Potentiometer

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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Birsa Institute of Technology (BIT), Sindri

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< 9 AC Circuits Calculators

Resistance of Coil in Transfer Type Potentiometer

Go Resistance of Coil = (Output Resistance*Voltage across Coil/Voltage across Shunt)*cos(Phase Angle in Coil-Phase Angle in Shunt)

Effective Resistance in Coordinate Type Potentiometer

Go Output Resistance = Sensitivity*Voltage across Coil/Voltage across Shunt

In-Phase Potentiometer Reading

Go In-Phase Potentiometer Reading = Loss Component of Current in Primary Winding*Resistance

Voltage Magnitude of AC Potentiometer

Go Total Voltage AC = sqrt((Voltage 1^2)+(Voltage 2^2))

Quadrature Potentiometer Reading

Go Quadrature Potentiometer Reading = Magnetizing Component of Current*Resistance

Full-Scale Voltage Reading

Go Full-scale Voltage Reading = Current at Full-Scale Reading*Resistance of Meter

AC Potentiometer Phase Angle

Go Phase Angle = atan(Voltage 2/Voltage 1)

Potentiometer Voltage

Go Output Voltage = Line Voltage/Voltage Division Ratio

Voltage Output of Volt Ratio Box in Coordinate Type Potentiometer

Go Output Voltage = Input Voltage/1.5

Resistance of Coil in Transfer Type Potentiometer Formula

Resistance of Coil = (Output Resistance*Voltage across Coil/Voltage across Shunt)*cos(Phase Angle in Coil-Phase Angle in Shunt)
R_c = (R_o*V_c/V_s)*cos(θ_c-θ_s)

What galvanometer is used in Transfer type potentiometer?

A vibrational galvanometer is used in the transfer type AC potentiometer. It is used as a detector for measurements at commercial frequencies.

How to Calculate Resistance of Coil in Transfer Type Potentiometer?

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

How to calculate Resistance of Coil in Transfer Type Potentiometer using this online calculator? To use this online calculator for Resistance of Coil in Transfer Type Potentiometer, enter Output Resistance (R_o), Voltage across Coil (V_c), Voltage across Shunt (V_s), Phase Angle in Coil (θ_c) & Phase Angle in Shunt (θ_s) and hit the calculate button. Here is how the Resistance of Coil in Transfer Type Potentiometer calculation can be explained with given input values -> -15.055633 = (5.45*20/5.5)*cos(30-15).

FAQ

What is Resistance of Coil in Transfer Type Potentiometer?

The Resistance of Coil in Transfer Type Potentiometer formula is used to calculate the resistance in a network that employs a transfer type potentiometer and is represented as R_c = (R_o*V_c/V_s)*cos(θ_c-θ_s) or Resistance of Coil = (Output Resistance*Voltage across Coil/Voltage across Shunt)*cos(Phase Angle in Coil-Phase Angle in Shunt). Output resistance is the value of resistance of the network, 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, 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, Phase Angle in Coil refers to the angular displacement between the voltage and current waveforms due to the coil's inductance, determined by the ratio of inductive reactance to resistance & Phase Angle in Shunt refers to the angular displacement between the voltage and current in an electrical circuit containing a shunt resistor, indicating the phase relationship between them.

How to calculate Resistance of Coil in Transfer Type Potentiometer?

The Resistance of Coil in Transfer Type Potentiometer formula is used to calculate the resistance in a network that employs a transfer type potentiometer is calculated using Resistance of Coil = (Output Resistance*Voltage across Coil/Voltage across Shunt)*cos(Phase Angle in Coil-Phase Angle in Shunt). To calculate Resistance of Coil in Transfer Type Potentiometer, you need Output Resistance (R_o), Voltage across Coil (V_c), Voltage across Shunt (V_s), Phase Angle in Coil (θ_c) & Phase Angle in Shunt (θ_s). With our tool, you need to enter the respective value for Output Resistance, Voltage across Coil, Voltage across Shunt, Phase Angle in Coil & Phase Angle in Shunt 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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