આપેલ પરિપથમાં જ્યારે કળ બંધ કરીને અને સ્થાયી સ્થિતિ પ્રાપ્ત કરે ત્યારે તેમાંથી પસાર થતો પ્રવાહ \(i\) (\(A\) માં) કેટલો હશે?

A \(6\)
B \(25\)
C \(10\)
D \(0\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(10\)

Step-by-step Solution

Detailed explanation

In steady state, inductor behaves as a conducting wire. So, equivalent circuit becomes \(\frac{1}{{R}_{{eq}}}=\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=1\) \(\Rightarrow {R}_{{eq}}=1\, \Omega\) \(\Rightarrow\) Circuit becomes \(\Rightarrow {i}=\frac{30}{3}=10\, {A}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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