COMEDK · Physics · 19. Current Electricity

A wire of \(24 \Omega\) resistance is bent to form a square loop. A 10 V battery negligible internal resistance is connected across the diagonals of the square loop. The potential drop across one of its sides is:

A \(\dfrac{5}{6} V\)
B 7 V
C 5 V
D 6 V

Verified Solution

Answer & Solution

Correct Answer

(C) 5 V

Step-by-step Solution

Detailed explanation

The total resistance of the wire is \(R = 24 \Omega\). Since the wire is bent into a square loop, each side of the square has a resistance of \(r = \dfrac{24}{4} = 6 \Omega\). When a battery is connected across the diagonals of the square, the loop is divided into two parallel…

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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