COMEDK · Physics · 21. Magnetic Effects of Current

A rectangular coil of length 10 cm and breadth 9 cm carries a current of 10 A . A long straight conductor carrying a current of 20 A is placed 1 cm from the coil parallel to its length and in the same plane of the coil. What will be the net force acting on the straight conductor?

A \(3.6 \times 10^{-5} \mathrm{~N}\)
B \(3.6 \times 10^{-4} \mathrm{~N}\)
C \(1.8 \times 10^{-4} \mathrm{~N}\)
D \(1.8 \times 10^{-5} \mathrm{~N}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(3.6 \times 10^{-4} \mathrm{~N}\)

Step-by-step Solution

Detailed explanation

Forces on the breadth arms cancel. Net force is the difference between forces on the two length arms (\(L = 0.1\) m). Force formula: \(F = \dfrac{\mu_0 I_1 I_2 L}{2\pi r}\) Nearer arm at \(r_1 = 1\) cm \(= 0.01\) m:…

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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