MHT CET · Physics · Magnetic Effects of Current

Torque acting on a rectangular coil carrying current ‘i’ situated parallel to magnetic field of current ‘i’ situated parallel to magnetic field of induction ‘B’, having number of turns ‘n’ and area ‘A’ is

A $n i (\hat{A} . \hat{B})$
B $\frac{n B A}{i}$
C $n i (A \times B)$
D $\frac{i B A}{n}$

Verified Solution

Answer & Solution

Correct Answer

(C) $n i (A \times B)$

Step-by-step Solution

Detailed explanation

When a current carrying coil is placed in a magnetic field, the coil experienced a torque given by

τ = M \times B

Where, M = magnetic moment =

n i A

∴ τ = n i (A \times B)

Where, n = number of turns,

i

= current flowing in coil

A =

Area of coil

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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