The field coils of a dynamo have an inductance of 8 H and have a resistance of 60 Ω and are connected to 120 V dc source. The steady state current in the field coils is

(a) 15 A.
(b) 2 A.
(c) Zero A.
(d) none of the above.

Answer: (b) 2 A.

Explanation:

CONCEPT: Inductor in DC Circuit

In a DC circuit:

At Switching ON (Transient State)

  • Inductor opposes change in current
  • Inductance is important

At Steady State (After Long Time)

  • Current becomes constant
  • Inductor behaves like a short circuit
  • Inductive reactance becomes zero

So, only resistance controls current.


IMPORTANT RULE

At steady state in DC:





GIVEN DATA






STEP: Calculate Steady-State Current

Using Ohm’s Law:






RESULT




Correct Answer

 Option (b) 2 A


Why Inductance Is Not Used Here

  • Inductance affects only how fast current rises
  • It does NOT affect final current value
  • After long time, inductor has no effect in DC

ONE-LINE EXAM POINT

In a DC circuit at steady state, an inductor behaves like a short circuit and current is given by .


FINAL CONCLUSION

Since the circuit is supplied with DC, after steady state is reached, the inductor offers no opposition. The current depends only on resistance. Therefore, the steady-state current is 2 A.

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