Deflection Angle in Electrodynamic Wattmeter Calculator

✖Total Current is the sum of the current flowing through the load and pressure coil in a wattmeter circuit.ⓘ Total Current [I]			+10% -10%
✖Pressure Coil Current is the current flowing through the pressure coil of the wattmeter.ⓘ Pressure Coil Current [I_p]			+10% -10%
✖Phase Angle is the measure of the difference in phase between two periodic signals. It indicates how much one signal is leading or lagging behind another.ⓘ Phase Angle [Φ]			+10% -10%
✖Inductance Change with Deflection Angle refers to the variation in the inductance of a coil or inductor as a result of changes in the angle of deflection.ⓘ Inductance Change with Deflection Angle [dM\|dθ]			+10% -10%
✖Spring Constant defines the amount of force required to stretch or compress a spring by a certain distance.ⓘ Spring Constant [K]			+10% -10%

✖Deflection Angle is the angle at which a pointer or needle in a device stops moving when deflection torque is balanced by restoring torque.ⓘ Deflection Angle in Electrodynamic Wattmeter [θ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Measuring Instrument Circuits Formula PDF PDF Image

Deflection Angle in Electrodynamic Wattmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant)
θ = (I*I_p*cos(Φ)*dM|dθ)/(K)
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 is the angle at which a pointer or needle in a device stops moving when deflection torque is balanced by restoring torque.
Total Current - (Measured in Ampere) - Total Current is the sum of the current flowing through the load and pressure coil in a wattmeter circuit.
Pressure Coil Current - (Measured in Ampere) - Pressure Coil Current is the current flowing through the pressure coil of the wattmeter.
Phase Angle - (Measured in Radian) - Phase Angle is the measure of the difference in phase between two periodic signals. It indicates how much one signal is leading or lagging behind another.
Inductance Change with Deflection Angle - (Measured in Henry Per Radian) - Inductance Change with Deflection Angle refers to the variation in the inductance of a coil or inductor as a result of changes in the angle of deflection.
Spring Constant - (Measured in Newton Meter per Radian) - Spring Constant defines the amount of force required to stretch or compress a spring by a certain distance.

STEP 1: Convert Input(s) to Base Unit

Total Current: 0.5 Ampere --> 0.5 Ampere No Conversion Required
Pressure Coil Current: 1.06 Ampere --> 1.06 Ampere No Conversion Required
Phase Angle: 1.04 Radian --> 1.04 Radian No Conversion Required
Inductance Change with Deflection Angle: 0.35 Henry Per Radian --> 0.35 Henry Per Radian No Conversion Required
Spring Constant: 0.12 Newton Meter per Radian --> 0.12 Newton Meter per Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = (I*I_p*cos(Φ)*dM|dθ)/(K) --> (0.5*1.06*cos(1.04)*0.35)/(0.12)

Evaluating ... ...

θ = 0.782532147639003

STEP 3: Convert Result to Output's Unit

0.782532147639003 Radian --> No Conversion Required

FINAL ANSWER

0.782532147639003 ≈ 0.782532 Radian <-- Deflection Angle

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Wattmeter Circuit » Deflection Angle in Electrodynamic 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!

< Wattmeter Circuit Calculators

Power using Two Wattmeter Method

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

DC Power (in Voltage Terms)

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

DC Power (in Current Terms)

LaTeX Go Total Power = Total Voltage*Total Current-Total Current^2*Ammeter Resistance

Total Power using phi Angle

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

Deflection Angle in Electrodynamic Wattmeter Formula

LaTeX Go

Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant)
θ = (I*I_p*cos(Φ)*dM|dθ)/(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 Deflection Angle in Electrodynamic Wattmeter?

Deflection Angle in Electrodynamic Wattmeter calculator uses Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant) to calculate the Deflection Angle, The Deflection Angle in Electrodynamic Wattmeter formula is used to calculate the angle at which the deflecting and restoring torque are balanced in an electrodynamic Wattmeter. Deflection Angle is denoted by θ symbol.

How to calculate Deflection Angle in Electrodynamic Wattmeter using this online calculator? To use this online calculator for Deflection Angle in Electrodynamic Wattmeter, enter Total Current (I), Pressure Coil Current (I_p), Phase Angle (Φ), Inductance Change with Deflection Angle (dM|dθ) & Spring Constant (K) and hit the calculate button. Here is how the Deflection Angle in Electrodynamic Wattmeter calculation can be explained with given input values -> 8.120617 = (0.5*1.06*cos(1.04)*0.35)/(0.12).

FAQ

What is Deflection Angle in Electrodynamic Wattmeter?

The Deflection Angle in Electrodynamic Wattmeter formula is used to calculate the angle at which the deflecting and restoring torque are balanced in an electrodynamic Wattmeter and is represented as θ = (I*I_p*cos(Φ)*dM|dθ)/(K) or Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant). Total Current is the sum of the current flowing through the load and pressure coil in a wattmeter circuit, Pressure Coil Current is the current flowing through the pressure coil of the wattmeter, Phase Angle is the measure of the difference in phase between two periodic signals. It indicates how much one signal is leading or lagging behind another, Inductance Change with Deflection Angle refers to the variation in the inductance of a coil or inductor as a result of changes in the angle of deflection & Spring Constant defines the amount of force required to stretch or compress a spring by a certain distance.

How to calculate Deflection Angle in Electrodynamic Wattmeter?

The Deflection Angle in Electrodynamic Wattmeter formula is used to calculate the angle at which the deflecting and restoring torque are balanced in an electrodynamic Wattmeter is calculated using Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant). To calculate Deflection Angle in Electrodynamic Wattmeter, you need Total Current (I), Pressure Coil Current (I_p), Phase Angle (Φ), Inductance Change with Deflection Angle (dM|dθ) & Spring Constant (K). With our tool, you need to enter the respective value for Total Current, Pressure Coil Current, Phase Angle, Inductance Change with Deflection Angle & Spring Constant 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