Deflecting Torque of ED Instrument (Voltmeter) Calculator

✖Total Voltage is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter.ⓘ Total Voltage [V_t]			+10% -10%
✖Impedance is the total effective resistance in the circuit.ⓘ Impedance [Z]			+10% -10%
✖Change in Mutual Inductance is the change in the inductance in both coil (mutual) with a change in deflecting angle.ⓘ Change in Mutual Inductance [dM']			+10% -10%
✖Phase Difference is measure of lag or lead a wave have.ⓘ Phase Difference [ϕ]			+10% -10%

✖Torque gives the deflecting torque of the pmmc instrument.ⓘ Deflecting Torque of ED Instrument (Voltmeter) [T]

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Formula

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Deflecting Torque of ED Instrument (Voltmeter)

Formula

`"T" = (("V"_{"t"}/"Z")^2)*"dM'"*cos("ϕ")`

Example

`"4.1E^-5N*m"=(("100V"/"50Ω")^2)*"0.35μH/degree"*cos("1.04rad")`

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Deflecting Torque of ED Instrument (Voltmeter) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque = ((Total Voltage/Impedance)^2)*Change in Mutual Inductance*cos(Phase Difference)
T = ((V_t/Z)^2)*dM'*cos(ϕ)
This formula uses 1 Functions, 5 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

Torque - (Measured in Newton Meter) - Torque gives the deflecting torque of the pmmc instrument.
Total Voltage - (Measured in Volt) - Total Voltage is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter.
Impedance - (Measured in Ohm) - Impedance is the total effective resistance in the circuit.
Change in Mutual Inductance - (Measured in Henry Per Radian) - Change in Mutual Inductance is the change in the inductance in both coil (mutual) with a change in deflecting angle.
Phase Difference - (Measured in Radian) - Phase Difference is measure of lag or lead a wave have.

STEP 1: Convert Input(s) to Base Unit

Total Voltage: 100 Volt --> 100 Volt No Conversion Required
Impedance: 50 Ohm --> 50 Ohm No Conversion Required
Change in Mutual Inductance: 0.35 Microhenry per Degree --> 2.00535228295826E-05 Henry Per Radian (Check conversion here)
Phase Difference: 1.04 Radian --> 1.04 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = ((V_t/Z)^2)*dM'*cos(ϕ) --> ((100/50)^2)*2.00535228295826E-05*cos(1.04)

Evaluating ... ...

T = 4.06059979408588E-05

STEP 3: Convert Result to Output's Unit

4.06059979408588E-05 Newton Meter --> No Conversion Required

FINAL ANSWER

4.06059979408588E-05 ≈ 4.1E-5 Newton Meter <-- Torque

(Calculation completed in 00.004 seconds)

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< 12 Voltmeter Specifications Calculators

m of Moving Iron Voltmeter

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Deflection Angle of ED Instrument (Voltmeter)

Go Angle of Deflection = (((Total Voltage)^2)*Change in Mutual Inductance*cos(Phase Difference))/(Kappa*(Impedance)^2)

Deflecting Torque of ED Instrument (Voltmeter)

Go Torque = ((Total Voltage/Impedance)^2)*Change in Mutual Inductance*cos(Phase Difference)

Voltmeter Resistance

Go Voltmeter Resistance = (Range of Voltmeter-Current Magnitude*Resistance)/Current Magnitude

Range of Voltmeter

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Go Current Magnitude = (Range of Voltmeter-Resistance)/Voltmeter Resistance

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Go Additional Capacitance = Self-Capacitance of Coil+Capacitance of Voltmeter

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Voltage Division Ratio

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Capacitance of Voltmeter

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Deflecting Torque of ED Instrument (Voltmeter) Formula

Torque = ((Total Voltage/Impedance)^2)*Change in Mutual Inductance*cos(Phase Difference)
T = ((V_t/Z)^2)*dM'*cos(ϕ)

How to calculateT_d?

Mechanical work done by the instrument is directly proportional to the deflecting torque. The deflecting torque is a function of the square of the potential difference across the meter. It is inversely proportional to the square of the impedance of the meter.

How to Calculate Deflecting Torque of ED Instrument (Voltmeter)?

Deflecting Torque of ED Instrument (Voltmeter) calculator uses Torque = ((Total Voltage/Impedance)^2)*Change in Mutual Inductance*cos(Phase Difference) to calculate the Torque, The Deflecting Torque of ED Instrument (Voltmeter) gives the deflecting torque for ED type instrument based voltmeter. Torque is denoted by T symbol.

How to calculate Deflecting Torque of ED Instrument (Voltmeter) using this online calculator? To use this online calculator for Deflecting Torque of ED Instrument (Voltmeter), enter Total Voltage (V_t), Impedance (Z), Change in Mutual Inductance (dM') & Phase Difference (ϕ) and hit the calculate button. Here is how the Deflecting Torque of ED Instrument (Voltmeter) calculation can be explained with given input values -> 4.1E-5 = ((100/50)^2)*2.00535228295826E-05*cos(1.04).

FAQ

What is Deflecting Torque of ED Instrument (Voltmeter)?

The Deflecting Torque of ED Instrument (Voltmeter) gives the deflecting torque for ED type instrument based voltmeter and is represented as T = ((V_t/Z)^2)*dM'*cos(ϕ) or Torque = ((Total Voltage/Impedance)^2)*Change in Mutual Inductance*cos(Phase Difference). Total Voltage is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter, Impedance is the total effective resistance in the circuit, Change in Mutual Inductance is the change in the inductance in both coil (mutual) with a change in deflecting angle & Phase Difference is measure of lag or lead a wave have.

How to calculate Deflecting Torque of ED Instrument (Voltmeter)?

The Deflecting Torque of ED Instrument (Voltmeter) gives the deflecting torque for ED type instrument based voltmeter is calculated using Torque = ((Total Voltage/Impedance)^2)*Change in Mutual Inductance*cos(Phase Difference). To calculate Deflecting Torque of ED Instrument (Voltmeter), you need Total Voltage (V_t), Impedance (Z), Change in Mutual Inductance (dM') & Phase Difference (ϕ). With our tool, you need to enter the respective value for Total Voltage, Impedance, Change in Mutual Inductance & Phase Difference 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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Deflecting Torque of ED Instrument (Voltmeter) Calculator

Deflecting Torque of ED Instrument (Voltmeter)

Deflecting Torque of ED Instrument (Voltmeter) Solution

Credits

< 12 Voltmeter Specifications Calculators

Deflecting Torque of ED Instrument (Voltmeter) Formula

How to calculateTd?

How to Calculate Deflecting Torque of ED Instrument (Voltmeter)?

FAQ

How to calculateT_d?