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A 110 V DC machine has an armature resistance of 2 ohm. If the full load current is 15 A, the difference in induced voltage when the machine is runnin
Question

A 110 V DC machine has an armature resistance of 2 ohm. If the full load current is 15 A, the difference in induced voltage when the machine is running as a motor, and as a generator is:

A.

40 V

B.

30 V

C.

60 V

D.

50 V

Correct option is C

 The difference in induced voltage when the machine is running as a motor, and as a generator is= EgEm= v+iaRa(viaRa)= 2iaRaGiven=> I=15 A=> R=2 ΩOn putting values in=> 2iaRa=> 2×15×2=60 V\bullet \ \text{The difference in induced voltage when the machine is running as a motor, and as a generator is} \\[6pt]= \ E_g - E_m \\[6pt]= \ v + i_a R_a - (v - i_a R_a) \\[6pt]= \ 2 i_a R_a \\[10pt]\text{Given} \\\Rightarrow \ I = 15~\text{A} \\\Rightarrow \ R = 2~\Omega \\[6pt]\text{On putting values in} \\[4pt]\Rightarrow \ 2 i_a R_a \\[4pt]\Rightarrow \ 2 \times 15 \times 2 = 60~\text{V}​​

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