AP EAMCET · PHYSICS · Magnetic Effects of Current

The force acting per unit length when a very long straight conductor is carrying a steady current of \(1 \mathrm{~A}\) and the direction of the current is from south to north is
(The horizontal component of the earth's magnetic field at the place is \(3 \times 10^{-5} \mathrm{~T}\) and the direction of the field is from the geographical south to geographical north.)

A \(3 \times 10^{-5} \mathrm{Nm}^{-1}\)
B \(1 \times 10^{-5} \mathrm{Nm}^{-1}\)
C 0
D \(1.5 \times 10^{-5} \mathrm{Nm}^{-1}\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(3 \times 10^{-5} \mathrm{Nm}^{-1}\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text { Steady current, } \mathrm{i}=1 \mathrm{~A} \\ & \text { Magnetic field } \mathrm{B}=3 \times 10^{-5} \mathrm{~T} \\ & \mathrm{~F}=\mathrm{il} \times \mathrm{B}=\mathrm{ilB} \sin \theta \\ & \frac{\mathrm{F}}{1}=\mathrm{iB} \sin 90 \\ & =1 \times 3…

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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