Deflection Angle 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%
✖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%
✖Kappa gives the spring constant of the spring.ⓘ Kappa [k]			+10% -10%
✖Impedance is the total effective resistance in the circuit.ⓘ Impedance [Z]			+10% -10%

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

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Formula

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Deflection Angle of ED Instrument (Voltmeter)

Formula

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

Example

`"0.000338rad"=((("100V")^2)*"0.35μH/degree"*cos("1.04rad"))/("0.12Nm/rad"*("50Ω")^2)`

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Deflection Angle of ED Instrument (Voltmeter) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Angle of Deflection - (Measured in Radian) - Angle of Deflection 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 network. In this case, it is usually the voltage difference across the voltmeter.
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.
Kappa - (Measured in Newton Meter per Radian) - Kappa gives the spring constant of the spring.
Impedance - (Measured in Ohm) - Impedance is the total effective resistance in the circuit.

STEP 1: Convert Input(s) to Base Unit

Total Voltage: 100 Volt --> 100 Volt 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
Kappa: 0.12 Newton Meter per Radian --> 0.12 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'*cos(ϕ))/(k*(Z)^2) --> (((100)^2)*2.00535228295826E-05*cos(1.04))/(0.12*(50)^2)

Evaluating ... ...

θ = 0.000338383316173823

STEP 3: Convert Result to Output's Unit

0.000338383316173823 Radian --> No Conversion Required

FINAL ANSWER

0.000338383316173823 ≈ 0.000338 Radian <-- Angle of Deflection

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Voltmeter » Voltmeter Specifications » Deflection Angle of ED Instrument (Voltmeter)

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Vellore Institute of Technology (VIT), Vellore

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< 12 Voltmeter Specifications Calculators

m of Moving Iron Voltmeter

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

Voltage of Moving Iron Voltmeter

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

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

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

Voltmeter current

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

Self-Capacitance of Coil

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

Additional Capacitance

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

Volts per Division

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

Voltage Division Ratio

Go Voltage Division Ratio = Line Voltage/Potentiometer Voltage

Capacitance of Voltmeter

Go Capacitance of Voltmeter = Charge/Capacitance

Deflection Angle of ED Instrument (Voltmeter) Formula

Angle of Deflection = (((Total Voltage)^2)*Change in Mutual Inductance*cos(Phase Difference))/(Kappa*(Impedance)^2)
θ = (((V_t)^2)*dM'*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 ED Instrument (Voltmeter)?

Deflection Angle of ED Instrument (Voltmeter) calculator uses Angle of Deflection = (((Total Voltage)^2)*Change in Mutual Inductance*cos(Phase Difference))/(Kappa*(Impedance)^2) to calculate the Angle of Deflection, The Deflection Angle of ED Instrument (Voltmeter) gives the angle by which the pointer deflects so that both torques are balanced in an ED type instrument based voltmeter. Angle of Deflection is denoted by θ symbol.

How to calculate Deflection Angle of ED Instrument (Voltmeter) using this online calculator? To use this online calculator for Deflection Angle of ED Instrument (Voltmeter), enter Total Voltage (V_t), Change in Mutual Inductance (dM'), Phase Difference (ϕ), Kappa (k) & Impedance (Z) and hit the calculate button. Here is how the Deflection Angle of ED Instrument (Voltmeter) calculation can be explained with given input values -> 3.383833 = (((100)^2)*2.00535228295826E-05*cos(1.04))/(0.12*(50)^2).

FAQ

What is Deflection Angle of ED Instrument (Voltmeter)?

The Deflection Angle of ED Instrument (Voltmeter) gives the angle by which the pointer deflects so that both torques are balanced in an ED type instrument based voltmeter and is represented as θ = (((V_t)^2)*dM'*cos(ϕ))/(k*(Z)^2) or Angle of Deflection = (((Total Voltage)^2)*Change in Mutual Inductance*cos(Phase Difference))/(Kappa*(Impedance)^2). Total Voltage is the amount of total potential difference across the network. In this case, it is usually the voltage difference across the voltmeter, 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, Kappa gives the spring constant of the spring & Impedance is the total effective resistance in the circuit.

How to calculate Deflection Angle of ED Instrument (Voltmeter)?

The Deflection Angle of ED Instrument (Voltmeter) gives the angle by which the pointer deflects so that both torques are balanced in an ED type instrument based voltmeter is calculated using Angle of Deflection = (((Total Voltage)^2)*Change in Mutual Inductance*cos(Phase Difference))/(Kappa*(Impedance)^2). To calculate Deflection Angle of ED Instrument (Voltmeter), you need Total Voltage (V_t), Change in Mutual Inductance (dM'), Phase Difference (ϕ), Kappa (k) & Impedance (Z). With our tool, you need to enter the respective value for Total Voltage, Change in Mutual Inductance, Phase Difference, Kappa & 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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