Resistance of Coil in Transfer Type Potentiometer Calculator

✖Output resistance is defined as how much resistance an output port of a device presents to the load connected to it.ⓘ 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%
✖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.ⓘ Coil Phase Angle [θ_c]			+10% -10%
✖Standard Resistor Phase Angle is the phase difference between the voltage across the resistor and the current flowing through it.ⓘ Standard Resistor Phase Angle [θ_s]			+10% -10%

✖Coil Resistance refers to the electrical resistance of the wire making up an inductor or a coil.ⓘ Resistance of Coil in Transfer Type Potentiometer [R_c]

⎘ Copy

👎

Formula

✖

Resistance of Coil in Transfer Type Potentiometer

Formula

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

Example

`"5.284953Ω"=("5.45Ω"*"20V")/("18V")*cos("1.02rad"-"0.51rad")`

Calculator

LaTeX

Reset

👍

Download Measuring Instrument Circuits Formula PDF PDF Image

Resistance of Coil in Transfer Type Potentiometer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coil Resistance = (Output Resistance*Voltage across Coil)/(Voltage across Shunt)*cos(Coil Phase Angle-Standard Resistor Phase Angle)
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

Coil Resistance - (Measured in Ohm) - Coil Resistance refers to the electrical resistance of the wire making up an inductor or a coil.
Output Resistance - (Measured in Ohm) - Output resistance is defined as how much resistance an output port of a device presents to the load connected to it.
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.
Coil Phase Angle - (Measured in Radian) - 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.
Standard Resistor Phase Angle - (Measured in Radian) - Standard Resistor Phase Angle is the phase difference between the voltage across the resistor and the current flowing through it.

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: 18 Volt --> 18 Volt No Conversion Required
Coil Phase Angle: 1.02 Radian --> 1.02 Radian No Conversion Required
Standard Resistor Phase Angle: 0.51 Radian --> 0.51 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)/(18)*cos(1.02-0.51)

Evaluating ... ...

R_c = 5.28495285185483

STEP 3: Convert Result to Output's Unit

5.28495285185483 Ohm --> No Conversion Required

FINAL ANSWER

5.28495285185483 ≈ 5.284953 Ohm <-- Coil Resistance

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 7 AC Circuits Calculators

Resistance of Coil in Transfer Type Potentiometer

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

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 = Primary Winding Current Loss Component*Resistance

Voltage Magnitude of AC Potentiometer

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

Quadrature Potentiometer Reading

Go Quadrature Potentiometer Reading = Magnetizing Current Component*Resistance

AC Potentiometer Phase Angle

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

Potentiometer Voltage

Go Output Voltage = Line Voltage/Voltage Division Ratio

Resistance of Coil in Transfer Type Potentiometer Formula

Coil Resistance = (Output Resistance*Voltage across Coil)/(Voltage across Shunt)*cos(Coil Phase Angle-Standard Resistor Phase Angle)
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 Coil Resistance = (Output Resistance*Voltage across Coil)/(Voltage across Shunt)*cos(Coil Phase Angle-Standard Resistor Phase Angle) to calculate 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 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), Coil Phase Angle (θ_c) & Standard Resistor Phase Angle (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 -> 6.055556 = (5.45*20)/(18)*cos(1.02-0.51).

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 Coil Resistance = (Output Resistance*Voltage across Coil)/(Voltage across Shunt)*cos(Coil Phase Angle-Standard Resistor Phase Angle). Output resistance is defined as how much resistance an output port of a device presents to the load connected to it, 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, 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 & Standard Resistor Phase Angle is the phase difference between the voltage across the resistor and the current flowing through it.

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 Coil Resistance = (Output Resistance*Voltage across Coil)/(Voltage across Shunt)*cos(Coil Phase Angle-Standard Resistor Phase Angle). 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), Coil Phase Angle (θ_c) & Standard Resistor Phase Angle (θ_s). With our tool, you need to enter the respective value for Output Resistance, Voltage across Coil, Voltage across Shunt, Coil Phase Angle & Standard Resistor Phase Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search