Deflecting Torque of Electrodynamometer Voltmeter Calculator

✖Total Voltage is the amount of total potential difference across the voltmeter.ⓘ Total Voltage [V_t]			+10% -10%
✖Impedance is a measure of the opposition that a circuit presents to the flow of alternating current consisting of both resistance and reactance.ⓘ Impedance [Z]			+10% -10%
✖Mutual Inductance Change with Angle describes how the mutual inductance between two coils changes as the relative orientation or angle between them varies.ⓘ Mutual Inductance Change with Angle [dM\|dθ]			+10% -10%
✖Phase Difference refers to the angular difference in degrees or radians between the corresponding points of two periodic waveforms that have the same frequency.ⓘ Phase Difference [ϕ]			+10% -10%

✖Deflecting torque in a measuring instrument refers to the torque exerted on the moving coil or element in response to the applied current or voltage.ⓘ Deflecting Torque of Electrodynamometer Voltmeter [T]

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Formula

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Deflecting Torque of Electrodynamometer Voltmeter

Formula

`"T" = ("V"_{"t"}/"Z")^2*"dM|dθ"*cos("ϕ")`

Example

`"0.708708N*m"=("100V"/"50Ω")^2*"0.35H/rad"*cos("1.04rad")`

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Deflecting Torque of Electrodynamometer Voltmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflecting Torque = (Total Voltage/Impedance)^2*Mutual Inductance Change with Angle*cos(Phase Difference)
T = (V_t/Z)^2*dM|dθ*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

Deflecting Torque - (Measured in Newton Meter) - Deflecting torque in a measuring instrument refers to the torque exerted on the moving coil or element in response to the applied current or voltage.
Total Voltage - (Measured in Volt) - Total Voltage is the amount of total potential difference across the voltmeter.
Impedance - (Measured in Ohm) - Impedance is a measure of the opposition that a circuit presents to the flow of alternating current consisting of both resistance and reactance.
Mutual Inductance Change with Angle - (Measured in Henry Per Radian) - Mutual Inductance Change with Angle describes how the mutual inductance between two coils changes as the relative orientation or angle between them varies.
Phase Difference - (Measured in Radian) - Phase Difference refers to the angular difference in degrees or radians between the corresponding points of two periodic waveforms that have the same frequency.

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
Mutual Inductance Change with Angle: 0.35 Henry Per Radian --> 0.35 Henry Per Radian No Conversion Required
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|dθ*cos(ϕ) --> (100/50)^2*0.35*cos(1.04)

Evaluating ... ...

T = 0.70870836012589

STEP 3: Convert Result to Output's Unit

0.70870836012589 Newton Meter --> No Conversion Required

FINAL ANSWER

0.70870836012589 ≈ 0.708708 Newton Meter <-- Deflecting Torque

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Voltmeter » Voltmeter Specifications » Deflecting Torque of Electrodynamometer Voltmeter

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< 17 Voltmeter Specifications Calculators

Voltage Multiplying Power of Moving Iron Voltmeter

Go Multiplying Factor = sqrt(((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Internal Resistance)^2+(Angular Frequency*Inductance)^2))

Deflection Angle of Electrodynamometer Voltmeter

Go Deflection Angle = (Total Voltage^2*Mutual Inductance Change with Angle*cos(Phase Difference))/(Spring Constant*Impedance^2)

Voltage of Moving Iron Voltmeter

Go Voltage = Meter Current*sqrt((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)

Deflecting Torque of Electrodynamometer Voltmeter

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

Voltage across Capacitance while Charging

Go Voltage across Capacitance = Voltage*(1-exp(-Time/(Resistance*Capacitance)))

Voltage across Capacitance

Go Voltage across Capacitance = Voltage*exp(-Time/(Resistance*Capacitance))

Nth resistance in multi-range voltmeter

Go Nth Multiplier Resistance = (Nth Multiplying Factor-Penultimate Voltage Multiplying Factor)*Meter Internal Resistance

Voltmeter Resistance

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

Multiplier Resistance of PMMC based Voltmeter

Go Multiplier Resistance = (Voltage/Full Scale Deflection Current)-Meter Internal Resistance

Range of Voltmeter

Go Voltmeter Range = Current Magnitude*(Voltmeter Resistance+Resistance)

Voltmeter current

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

Multiplying Factor for Multiplier Voltmeter

Go Multiplying Factor = 1+(Multiplier Resistance/Meter Internal Resistance)

Self-Capacitance of Coil

Go Coil Self Capacitance = Additional Capacitance-Voltmeter Capacitance

Capacitance of Voltmeter

Go Voltmeter Capacitance = Additional Capacitance-Coil Self Capacitance

Additional Capacitance

Go Additional Capacitance = Coil Self Capacitance+Voltmeter Capacitance

Volts per Division

Go Volt per Division = Peak Voltage/Vertical Peak to Peak Division

Voltmeter Sensitivity

Go Voltmeter Sensitivity = 1/Full Scale Deflection Current

Deflecting Torque of Electrodynamometer Voltmeter Formula

Deflecting Torque = (Total Voltage/Impedance)^2*Mutual Inductance Change with Angle*cos(Phase Difference)
T = (V_t/Z)^2*dM|dθ*cos(ϕ)

What is Electrodynamometer?

An electrodynamometer is a type of instrument used for measuring electrical quantities, such as voltage, current, and power. It operates based on the principle of electromagnetic induction and consists of coils and magnets arranged in such a way that the interaction between electrical currents and magnetic fields generates a mechanical force or torque. This torque is then used to deflect a pointer or needle on a calibrated scale, providing a visual indication of the measured electrical quantity. Electrodynamometers are commonly used in analog meters for accurate measurement of AC and DC voltages and currents.

How to Calculate Deflecting Torque of Electrodynamometer Voltmeter?

Deflecting Torque of Electrodynamometer Voltmeter calculator uses Deflecting Torque = (Total Voltage/Impedance)^2*Mutual Inductance Change with Angle*cos(Phase Difference) to calculate the Deflecting Torque, The Deflecting Torque of Electrodynamometer Voltmeter formula is defined as the torque exerted on the moving coil of the instrument when a voltage is applied across it. This torque is proportional to the current passing through the coil, which in turn is proportional to the applied voltage. Deflecting Torque is denoted by T symbol.

How to calculate Deflecting Torque of Electrodynamometer Voltmeter using this online calculator? To use this online calculator for Deflecting Torque of Electrodynamometer Voltmeter, enter Total Voltage (V_t), Impedance (Z), Mutual Inductance Change with Angle (dM|dθ) & Phase Difference (ϕ) and hit the calculate button. Here is how the Deflecting Torque of Electrodynamometer Voltmeter calculation can be explained with given input values -> 0.708708 = (100/50)^2*0.35*cos(1.04).

FAQ

What is Deflecting Torque of Electrodynamometer Voltmeter?

The Deflecting Torque of Electrodynamometer Voltmeter formula is defined as the torque exerted on the moving coil of the instrument when a voltage is applied across it. This torque is proportional to the current passing through the coil, which in turn is proportional to the applied voltage and is represented as T = (V_t/Z)^2*dM|dθ*cos(ϕ) or Deflecting Torque = (Total Voltage/Impedance)^2*Mutual Inductance Change with Angle*cos(Phase Difference). Total Voltage is the amount of total potential difference across the voltmeter, Impedance is a measure of the opposition that a circuit presents to the flow of alternating current consisting of both resistance and reactance, Mutual Inductance Change with Angle describes how the mutual inductance between two coils changes as the relative orientation or angle between them varies & Phase Difference refers to the angular difference in degrees or radians between the corresponding points of two periodic waveforms that have the same frequency.

How to calculate Deflecting Torque of Electrodynamometer Voltmeter?

The Deflecting Torque of Electrodynamometer Voltmeter formula is defined as the torque exerted on the moving coil of the instrument when a voltage is applied across it. This torque is proportional to the current passing through the coil, which in turn is proportional to the applied voltage is calculated using Deflecting Torque = (Total Voltage/Impedance)^2*Mutual Inductance Change with Angle*cos(Phase Difference). To calculate Deflecting Torque of Electrodynamometer Voltmeter, you need Total Voltage (V_t), Impedance (Z), Mutual Inductance Change with Angle (dM|dθ) & Phase Difference (ϕ). With our tool, you need to enter the respective value for Total Voltage, Impedance, Mutual Inductance Change with Angle & 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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