COMEDK · Physics · 21. Magnetic Effects of Current

In the arrangement shown below, what is the magnitude of force experienced by 20 cm length of wire \(Z\)

Distance between the wires \(X\) and \(Z\) is 9 cm and between \(X\) and \(Y\) is 6 cm .

A Zero
B \(16 \times 10^{-4} N\)
C \(4 \times 10^{-4} N\)
D \(8 \times 10^{-4} N\)

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Answer & Solution

Correct Answer

(D) \(8 \times 10^{-4} N\)

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Detailed explanation

The magnetic field \(B\) at a distance \(r\) from a long straight wire carrying current \(I\) is given by \(B = \dfrac{\mu_0 I}{2 \pi r}\). The force per unit length between two parallel wires carrying currents \(I_1\) and \(I_2\) separated by distance \(r\) is…

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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In the arrangement shown below, what is the magnitude of force experienced by 20 cm length of wire \(Z\)Distance between the wires \(X\) and \(Z\) is 9 cm and between \(X\) and \(Y\) is 6 cm .

Step-by-step Solution

In the arrangement shown below, what is the magnitude of force experienced by 20 cm length of wire \(Z\)

Distance between the wires \(X\) and \(Z\) is 9 cm and between \(X\) and \(Y\) is 6 cm .