Back EMF of DC Generator Solution

STEP 0: Pre-Calculation Summary
Formula Used
Back EMF = Output Voltage-(Armature Current*Armature Resistance)
Eb = Vo-(Ia*Ra)
This formula uses 4 Variables
Variables Used
Back EMF - (Measured in Volt) - Back EMF is developed when current flows through the armature, it generates a magnetic field that interacts with the field produced by the field winding to produce a torque.
Output Voltage - (Measured in Volt) - Output Voltage is the electrical potential difference between the two terminals of the dc machine. Output Voltage is also called the Terminal Voltage.
Armature Current - (Measured in Ampere) - Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor.
Armature Resistance - (Measured in Ohm) - Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in a dc machine.
STEP 1: Convert Input(s) to Base Unit
Output Voltage: 150 Volt --> 150 Volt No Conversion Required
Armature Current: 0.75 Ampere --> 0.75 Ampere No Conversion Required
Armature Resistance: 80 Ohm --> 80 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Eb = Vo-(Ia*Ra) --> 150-(0.75*80)
Evaluating ... ...
Eb = 90
STEP 3: Convert Result to Output's Unit
90 Volt --> No Conversion Required
FINAL ANSWER
90 Volt <-- Back EMF
(Calculation completed in 00.007 seconds)

Credits

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Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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DC Machine Characterstics Calculators

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​ Go Angular Speed = Armature Voltage/(Machine Constant*Magnetic Flux*Armature Current)
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​ Go Back Pitch = ((2*Number of Slots)/Number of Poles)+1

Back EMF of DC Generator Formula

Back EMF = Output Voltage-(Armature Current*Armature Resistance)
Eb = Vo-(Ia*Ra)

How does back EMF affect supply voltage?

As the back emf depends on the current their value also decreases. The magnitude of the back EMF is nearly equal to the supply voltage. If the sudden load is applied to the motor, the motor becomes slow down. As the speed of the motor decreases, the magnitude of their back emf also falls down.

How to Calculate Back EMF of DC Generator?

Back EMF of DC Generator calculator uses Back EMF = Output Voltage-(Armature Current*Armature Resistance) to calculate the Back EMF, The Back EMF of DC Generator is defined as the opposition offered the supply voltage. The supply voltage induces the current in the coil which rotates the armature. The electrical work required by the motor for causing the current against the back emf is converted into mechanical energy. Back EMF is denoted by Eb symbol.

How to calculate Back EMF of DC Generator using this online calculator? To use this online calculator for Back EMF of DC Generator, enter Output Voltage (Vo), Armature Current (Ia) & Armature Resistance (Ra) and hit the calculate button. Here is how the Back EMF of DC Generator calculation can be explained with given input values -> 90 = 150-(0.75*80).

FAQ

What is Back EMF of DC Generator?
The Back EMF of DC Generator is defined as the opposition offered the supply voltage. The supply voltage induces the current in the coil which rotates the armature. The electrical work required by the motor for causing the current against the back emf is converted into mechanical energy and is represented as Eb = Vo-(Ia*Ra) or Back EMF = Output Voltage-(Armature Current*Armature Resistance). Output Voltage is the electrical potential difference between the two terminals of the dc machine. Output Voltage is also called the Terminal Voltage, Armature Current is defined as the current developed in the armature of an electrical DC generator due to movement of rotor & Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in a dc machine.
How to calculate Back EMF of DC Generator?
The Back EMF of DC Generator is defined as the opposition offered the supply voltage. The supply voltage induces the current in the coil which rotates the armature. The electrical work required by the motor for causing the current against the back emf is converted into mechanical energy is calculated using Back EMF = Output Voltage-(Armature Current*Armature Resistance). To calculate Back EMF of DC Generator, you need Output Voltage (Vo), Armature Current (Ia) & Armature Resistance (Ra). With our tool, you need to enter the respective value for Output Voltage, Armature Current & Armature Resistance 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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