Angle of Deflection of ED Wattmeter Calculator

✖Current (total) is the total amount of current flowing through the circuit with the load.ⓘ Current (total) [I]			+10% -10%
✖Current (P.C) is the amount of current flowing through the pressure coil.ⓘ Current (P.C) [I_p]			+10% -10%
✖Phi is used to calculate cos(phi), which is the power factor.ⓘ Phi [ϕ]			+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 [dMdθ]			+10% -10%
✖Resistance (P.C) is the internal resistance of the pressure coil in an ED type wattmeter.ⓘ Resistance (P.C) [R_p]			+10% -10%
✖K (spring) gives the spring constant of the spring.ⓘ K (spring) [K]			+10% -10%

✖Angle of Deflection 1 gives the angle of deflection in coil.ⓘ Angle of Deflection of ED Wattmeter [θ1]

⎘ Copy

👎

Formula

✖

Angle of Deflection of ED Wattmeter

Formula

`"θ1" = ("I"*"I"_{"p"}*cos("ϕ")*"dMdθ")/("R"_{"p"}*"K")`

Example

`"3.722216rad"=("8A"*"11A"*cos("1.04rad")*"0.35μH/degree")/("20Ω"*"0.000012Nm/rad")`

Calculator

LaTeX

Reset

👍

Download Measuring Instrument Circuits Formula PDF PDF Image

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*I_p*cos(ϕ)*dMdθ)/(R_p*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*I_p*cos(ϕ)*dMdθ)/(R_p*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)

You are here -

Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Wattmeter Circuit » Angle of Deflection of ED Wattmeter

Credits

Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 15 Wattmeter Circuit 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))

Total Power for Three Phase Wattmeter

Go Total Power = (Voltage through Phase 1*Current in Phase 1)+(Voltage through Phase 2*Current in Phase 2)+(Voltage through Phase 3*Current in Phase 3)

Resistance of Watt-meter pressure Coil

Go Resistance of Wattmeter Pressure Coil = (Voltage Induced in Secondary Winding 2-(Current in Pressure Coil Circuit*Resistance of Coil in Secondary Winding))/Current in Pressure Coil Circuit

Resistance of coil S1

Go Resistance of Coil in Secondary Winding = (Voltage Induced in Secondary Winding 2-(Current in Pressure Coil Circuit*Resistance of Wattmeter Pressure Coil))/Current in Pressure Coil Circuit

Deflecting Torque of ED Wattmeter

Go Torque 1 = (Voltage (total)*Current (total)*cos(Phi)*Change in Mutual Inductance)/Resistance (P.C)

Power using Two Wattmeter Method

Go Total Power = sqrt(3)*Total Phase Voltage*Current in Phase 1*cos((30*(pi/180))-Phase Angle)

Total copper loss in secondary winding circuit

Go Copper Loss in Secondary Winding = ((Voltage Induced in Secondary Winding 2^2)/Resistance of Coil in Secondary Winding)+Resistance of Wattmeter Pressure Coil

Current in pressure coil circuit

Go Current in Pressure Coil Circuit = Voltage Induced in Secondary Winding 2/(Resistance of Wattmeter Pressure Coil+Resistance of Coil in Secondary Winding)

Voltage Induced in S2

Go Voltage Induced in Secondary Winding 2 = Current in Pressure Coil Circuit*(Resistance of Wattmeter Pressure Coil+Resistance of Coil in Secondary Winding)

DC Power (in Voltage Terms)

Go Total Power = (Total Voltage*Total Current)-(((Total Voltage)^2)/Resistance of the Voltmeter)

DC Power (in Current Terms)

Go Total Power = (Total Voltage*Total Current)-(((Total Current)^2)*Resistance of Ammeter)

AC Power

Go Instantaneous AC Power = Total Voltage*Current RMS Value*cos(Phase Angle)

Total Power using phi Angle

Go Total Power = 3*Total Phase Voltage*Total Phase Current*cos(Phase Angle)

Wattmeter Reading

Go Wattmeter Reading = (Voltage at Wattmeter Pressure Coil*Iron Loss)/(Potential Difference)

Voltage applied to wattmeter pressure coil

Go Voltage at Wattmeter Pressure Coil = (Wattmeter Reading*Potential Difference)/Iron Loss

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*I_p*cos(ϕ)*dMdθ)/(R_p*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) (I_p), Phi (ϕ), Change in Mutual Inductance (dMdθ), Resistance (P.C) (R_p) & 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*I_p*cos(ϕ)*dMdθ)/(R_p*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) (I_p), Phi (ϕ), Change in Mutual Inductance (dMdθ), Resistance (P.C) (R_p) & 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.

Home

FREE PDFs

🔍 Search