Deflection Angle of Electrodynamometer Voltmeter Calculator

✖Total Voltage is the amount of total potential difference across the voltmeter.ⓘ Total Voltage [V_t]			+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%
✖spring constant represents the stiffness or rigidity of a spring. It quantifies the amount of force required to stretch or compress a spring by a certain distance.ⓘ Spring Constant [k]			+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%

✖Deflection Angle gives the angle which the pointer moves while measuring any quantity in the coil.ⓘ Deflection Angle of Electrodynamometer Voltmeter [θ]

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Formula

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Deflection Angle of Electrodynamometer Voltmeter

Formula

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

Example

`"1.027114rad"=(("100V")^2*"0.35H/rad"*cos("1.04rad"))/("0.69Nm/rad"*("50Ω")^2)`

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Deflection Angle of Electrodynamometer Voltmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection Angle = (Total Voltage^2*Mutual Inductance Change with Angle*cos(Phase Difference))/(Spring Constant*Impedance^2)
θ = (V_t^2*dM|dθ*cos(ϕ))/(k*Z^2)
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

Deflection Angle - (Measured in Radian) - Deflection Angle gives the angle which the pointer moves while measuring any quantity in the coil.
Total Voltage - (Measured in Volt) - Total Voltage is the amount of total potential difference across the voltmeter.
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.
Spring Constant - (Measured in Newton Meter per Radian) - spring constant represents the stiffness or rigidity of a spring. It quantifies the amount of force required to stretch or compress a spring by a certain distance.
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.

STEP 1: Convert Input(s) to Base Unit

Total Voltage: 100 Volt --> 100 Volt 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
Spring Constant: 0.69 Newton Meter per Radian --> 0.69 Newton Meter per Radian No Conversion Required
Impedance: 50 Ohm --> 50 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = (V_t^2*dM|dθ*cos(ϕ))/(k*Z^2) --> (100^2*0.35*cos(1.04))/(0.69*50^2)

Evaluating ... ...

θ = 1.02711356539984

STEP 3: Convert Result to Output's Unit

1.02711356539984 Radian --> No Conversion Required

FINAL ANSWER

1.02711356539984 ≈ 1.027114 Radian <-- Deflection Angle

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Voltmeter » Voltmeter Specifications » Deflection Angle 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

Deflection Angle of Electrodynamometer Voltmeter Formula

Deflection Angle = (Total Voltage^2*Mutual Inductance Change with Angle*cos(Phase Difference))/(Spring Constant*Impedance^2)
θ = (V_t^2*dM|dθ*cos(ϕ))/(k*Z^2)

How to calculate the deflecting angle?

Mechanical work done by the instrument is directly proportional to the change in the angle. The deflecting angle is a function of the square of the potential difference across the meter. It is inversely proportional to the spring constant and the square of the total meter impedance.

How to Calculate Deflection Angle of Electrodynamometer Voltmeter?

Deflection Angle of Electrodynamometer Voltmeter calculator uses Deflection Angle = (Total Voltage^2*Mutual Inductance Change with Angle*cos(Phase Difference))/(Spring Constant*Impedance^2) to calculate the Deflection Angle, The Deflection Angle of Electrodynamometer Voltmeter formula is defined as the angular displacement of the pointer from its zero position on the scale, proportional to the voltage being measured. Deflection Angle is denoted by θ symbol.

How to calculate Deflection Angle of Electrodynamometer Voltmeter using this online calculator? To use this online calculator for Deflection Angle of Electrodynamometer Voltmeter, enter Total Voltage (V_t), Mutual Inductance Change with Angle (dM|dθ), Phase Difference (ϕ), Spring Constant (k) & Impedance (Z) and hit the calculate button. Here is how the Deflection Angle of Electrodynamometer Voltmeter calculation can be explained with given input values -> 5.905903 = (100^2*0.35*cos(1.04))/(0.69*50^2).

FAQ

What is Deflection Angle of Electrodynamometer Voltmeter?

The Deflection Angle of Electrodynamometer Voltmeter formula is defined as the angular displacement of the pointer from its zero position on the scale, proportional to the voltage being measured and is represented as θ = (V_t^2*dM|dθ*cos(ϕ))/(k*Z^2) or Deflection Angle = (Total Voltage^2*Mutual Inductance Change with Angle*cos(Phase Difference))/(Spring Constant*Impedance^2). Total Voltage is the amount of total potential difference across the voltmeter, 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, spring constant represents the stiffness or rigidity of a spring. It quantifies the amount of force required to stretch or compress a spring by a certain distance & Impedance is a measure of the opposition that a circuit presents to the flow of alternating current consisting of both resistance and reactance.

How to calculate Deflection Angle of Electrodynamometer Voltmeter?

The Deflection Angle of Electrodynamometer Voltmeter formula is defined as the angular displacement of the pointer from its zero position on the scale, proportional to the voltage being measured is calculated using Deflection Angle = (Total Voltage^2*Mutual Inductance Change with Angle*cos(Phase Difference))/(Spring Constant*Impedance^2). To calculate Deflection Angle of Electrodynamometer Voltmeter, you need Total Voltage (V_t), Mutual Inductance Change with Angle (dM|dθ), Phase Difference (ϕ), Spring Constant (k) & Impedance (Z). With our tool, you need to enter the respective value for Total Voltage, Mutual Inductance Change with Angle, Phase Difference, Spring Constant & Impedance 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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