JEE Mains · Physics · STD 12 - 3. current electricity

Two equal resistances when connected in series to a battery, consume electric power of \(60\,W.\) If these resistances are now connected in parallel combination to the same battery, the electric power consumed will be .............. \(W\)

A \(60\)
B \(240\)
C \(120\)
D \(30\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(240\)

Step-by-step Solution

Detailed explanation

Assuming constant voltage supply \(P=60=\frac{V^{2}}{R_{1}+R_{2}}\) .......\((1)\) \( \text { And } P^{\prime}=\frac{V^{2}}{R_{1}}+\frac{V^{2}}{R_{2}}=\frac{2 V^{2}}{R_{1}} =4 P=4 \times 60 \) \(=240 \,\mathrm{W} \)

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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