The armature resistance of a 220 volt DC machine is 0.5 ohm. What is the value of the back EMF when the machine functions as a motor if the full load armature current is 25 amps?

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SSC JE Electrical 10 Oct 2023 Shift 2 Official Paper-I
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  1. 209 V
  2. 207.5 V
  3. 207 V
  4. 210 V

Answer (Detailed Solution Below)

Option 2 : 207.5 V
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Detailed Solution

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Concept

The circuit diagram of the DC motor is:

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\(E=V-I_aR_a\)

where, V = Terminal voltage

E = Back EMF

Ia = Armature current

R= Armature resistance

Calculation

Given, V = 220 volts

Ia = 25 A

R= 0.5 Ω 

\(E=220-25\times 0.5\)

E = 207.5 V

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