Angle of Deflection of ED Wattmeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle of Deflection 1 = (Current (total)*Current (P.C)*cos(Phi)*Change in Mutual Inductance)/(Resistance (P.C)*K (spring))
θ1 = (I*Ip*cos(ϕ)*dMdθ)/(Rp*K)
This formula uses 1 Functions, 7 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 1 - (Measured in Radian) - Angle of Deflection 1 gives the angle of deflection in coil.
Current (total) - (Measured in Ampere) - Current (total) is the total amount of current flowing through the circuit with the load.
Current (P.C) - (Measured in Ampere) - Current (P.C) is the amount of current flowing through the pressure coil.
Phi - (Measured in Radian) - Phi is used to calculate cos(phi), which is the power factor.
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.
Resistance (P.C) - (Measured in Ohm) - Resistance (P.C) is the internal resistance of the pressure coil in an ED type wattmeter.
K (spring) - (Measured in Newton Meter per Radian) - K (spring) gives the spring constant of the spring.
STEP 1: Convert Input(s) to Base Unit
Current (total): 8 Ampere --> 8 Ampere No Conversion Required
Current (P.C): 11 Ampere --> 11 Ampere No Conversion Required
Phi: 1.04 Radian --> 1.04 Radian No Conversion Required
Change in Mutual Inductance: 0.35 Microhenry per Degree --> 2.00535228295826E-05 Henry Per Radian (Check conversion here)
Resistance (P.C): 20 Ohm --> 20 Ohm No Conversion Required
K (spring): 1.2E-05 Newton Meter per Radian --> 1.2E-05 Newton Meter per Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ1 = (I*Ip*cos(ϕ)*dMdθ)/(Rp*K) --> (8*11*cos(1.04)*2.00535228295826E-05)/(20*1.2E-05)
Evaluating ... ...
θ1 = 3.72221647791206
STEP 3: Convert Result to Output's Unit
3.72221647791206 Radian --> No Conversion Required
FINAL ANSWER
3.72221647791206 3.722216 Radian <-- Angle of Deflection 1
(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi
Vellore Institute of Technology (VIT), Vellore
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8 Electromechanical Indicating Circuits Calculators

Angle of Deflection of ED Wattmeter
Go Angle of Deflection 1 = (Current (total)*Current (P.C)*cos(Phi)*Change in Mutual Inductance)/(Resistance (P.C)*K (spring))
Deflecting Torque of ED Wattmeter
Go Torque 1 = (Voltage (total)*Current (total)*cos(Phi)*Change in Mutual Inductance)/Resistance (P.C)
Deflection Angle of ED Instrument (AC Operation)
Go Angle of Deflection DA AC = ((I1*I2)/K (spring))*cos(Phi)*Change in Mutual Inductance
Braking Torque in Energy Meter
Go Braking Torque = Spring Constant*Voltage (torque)*Current (total)*cos(Angle)
Deflecting Torque of ED Instrument (AC Operation)
Go Torque DT AC = I1*I2*cos(Phi)*Change in Mutual Inductance
Deflection Angle of ED Instrument (DC Operation)
Go Angle of Deflection DA DC = ((I1*I2)/K (spring))*Change in Mutual Inductance
Deflecting Torque of ED Instrument (DC Operation)
Go Torque DT DC = I1*I2*Change in Mutual Inductance
Driving Torque in Energy Meter
Go Driving Torque = K (spring)*Speed

Angle of Deflection of ED Wattmeter Formula

Angle of Deflection 1 = (Current (total)*Current (P.C)*cos(Phi)*Change in Mutual Inductance)/(Resistance (P.C)*K (spring))
θ1 = (I*Ip*cos(ϕ)*dMdθ)/(Rp*K)

How is power loss compensated in an ED wattmeter?

Compensation is done by wrapping a coil around the current/fixed coil. This coil opposes the field of the current coil and creates its own field in proportion to the current. This gives a result field solely due to the total current.

How to Calculate Angle of Deflection of ED Wattmeter?

Angle of Deflection of ED Wattmeter calculator uses Angle of Deflection 1 = (Current (total)*Current (P.C)*cos(Phi)*Change in Mutual Inductance)/(Resistance (P.C)*K (spring)) to calculate the Angle of Deflection 1, The Angle of Deflection of ED Wattmeter formula is used to calculate the angle at which the deflecting and restoring torque are balanced in an ED Wattmeter. Angle of Deflection 1 is denoted by θ1 symbol.

How to calculate Angle of Deflection of ED Wattmeter using this online calculator? To use this online calculator for Angle of Deflection of ED Wattmeter, enter Current (total) (I), Current (P.C) (Ip), Phi (ϕ), Change in Mutual Inductance (dMdθ), Resistance (P.C) (Rp) & K (spring) (K) and hit the calculate button. Here is how the Angle of Deflection of ED Wattmeter calculation can be explained with given input values -> 3.722216 = (8*11*cos(1.04)*2.00535228295826E-05)/(20*1.2E-05).

FAQ

What is Angle of Deflection of ED Wattmeter?
The Angle of Deflection of ED Wattmeter formula is used to calculate the angle at which the deflecting and restoring torque are balanced in an ED Wattmeter and is represented as θ1 = (I*Ip*cos(ϕ)*dMdθ)/(Rp*K) or Angle of Deflection 1 = (Current (total)*Current (P.C)*cos(Phi)*Change in Mutual Inductance)/(Resistance (P.C)*K (spring)). Current (total) is the total amount of current flowing through the circuit with the load, Current (P.C) is the amount of current flowing through the pressure coil, Phi is used to calculate cos(phi), which is the power factor, Change in Mutual Inductance is the change in the inductance in both coil (mutual) with a change in deflecting angle, Resistance (P.C) is the internal resistance of the pressure coil in an ED type wattmeter & K (spring) gives the spring constant of the spring.
How to calculate Angle of Deflection of ED Wattmeter?
The Angle of Deflection of ED Wattmeter formula is used to calculate the angle at which the deflecting and restoring torque are balanced in an ED Wattmeter is calculated using Angle of Deflection 1 = (Current (total)*Current (P.C)*cos(Phi)*Change in Mutual Inductance)/(Resistance (P.C)*K (spring)). To calculate Angle of Deflection of ED Wattmeter, you need Current (total) (I), Current (P.C) (Ip), Phi (ϕ), Change in Mutual Inductance (dMdθ), Resistance (P.C) (Rp) & K (spring) (K). With our tool, you need to enter the respective value for Current (total), Current (P.C), Phi, Change in Mutual Inductance, Resistance (P.C) & K (spring) 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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