Deflecting Torque of ED Instrument (Voltmeter) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Torque DT V = ((Voltage (total)/Impedance)^2)*Change in Mutual Inductance*cos(Phi)
Tdt_v = ((V/Z)^2)*ΔM*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 DT V - (Measured in Newton Meter) - Torque DT V gives the deflecting torque of the pmmc instrument.
Voltage (total) - (Measured in Volt) - Voltage (total) 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 impedance 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.
Phi - (Measured in Radian) - Phi is used to calculate cos(phi), which is the power factor.
STEP 1: Convert Input(s) to Base Unit
Voltage (total): 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)
Phi: 1.04 Radian --> 1.04 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tdt_v = ((V/Z)^2)*ΔM*cos(ϕ) --> ((100/50)^2)*2.00535228295826E-05*cos(1.04)
Evaluating ... ...
Tdt_v = 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 DT V
(Calculation completed in 00.004 seconds)

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12 Voltmeter Specifications Calculators

m of Moving Iron Voltmeter
Go Multiplying Power 4 = sqrt(((Rm+RS)^2+(Omega*Inductance)^2)/((Rm)^2+(Omega*Inductance)^2))
Deflection Angle of ED Instrument (Voltmeter)
Go Angle of Deflection DA V = (((Voltage (total))^2)*Change in Mutual Inductance*cos(Phi))/(K (spring)*(Impedance)^2)
Voltage of Moving Iron Voltmeter
Go Meter Voltage MI = Im*sqrt((Rm+RS)^2+(Omega*Inductance)^2)
Deflecting Torque of ED Instrument (Voltmeter)
Go Torque DT V = ((Voltage (total)/Impedance)^2)*Change in Mutual Inductance*cos(Phi)
Voltmeter Resistance
Go Voltmeter Resistance Op = (Range of Voltmeter-Current Magnitude*Resistance)/Current Magnitude
Range of Voltmeter
Go Range of Voltmeter Op = 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 Volts per Division V = Peak Voltage V/Vertical Peak to Peak Division
Voltage Division Ratio
Go Voltage Division Ratio Op = Line Voltage/Potentiometer Voltage
Capacitance of Voltmeter
Go Capacitance of Voltmeter = Charge/Capacitance

Deflecting Torque of ED Instrument (Voltmeter) Formula

Torque DT V = ((Voltage (total)/Impedance)^2)*Change in Mutual Inductance*cos(Phi)
Tdt_v = ((V/Z)^2)*ΔM*cos(ϕ)

How to calculateTd?

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 DT V = ((Voltage (total)/Impedance)^2)*Change in Mutual Inductance*cos(Phi) to calculate the Torque DT V, The Deflecting Torque of ED Instrument (Voltmeter) gives the deflecting torque for ED type instrument based voltmeter. Torque DT V is denoted by Tdt_v 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 Voltage (total) (V), Impedance (Z), Change in Mutual Inductance (ΔM) & Phi (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 Tdt_v = ((V/Z)^2)*ΔM*cos(ϕ) or Torque DT V = ((Voltage (total)/Impedance)^2)*Change in Mutual Inductance*cos(Phi). Voltage (total) 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 impedance in the circuit, Change in Mutual Inductance is the change in the inductance in both coil (mutual) with a change in deflecting angle & Phi is used to calculate cos(phi), which is the power factor.
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 DT V = ((Voltage (total)/Impedance)^2)*Change in Mutual Inductance*cos(Phi). To calculate Deflecting Torque of ED Instrument (Voltmeter), you need Voltage (total) (V), Impedance (Z), Change in Mutual Inductance (ΔM) & Phi (ϕ). With our tool, you need to enter the respective value for Voltage (total), Impedance, Change in Mutual Inductance & Phi 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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