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A 3.0 cm wire carrying a current of 10 A is placed inside a solenoid, perpendicular to its axis, where the field is 0.27 T. The magnetic force on the wire is:
A8.1 × 10⁻¹ N
B8.1 × 10⁻² N
C2.7 × 10⁻² N
D8.1 × 10⁻³ N
Answer & Solution
Correct answer: B. 8.1 × 10⁻² N
1. Force on the wire: $F = IlB\sin\theta$.
2. The wire is perpendicular to the field, so $\theta = 90^\circ$ and $\sin\theta = 1$.
3. Substitute $I = 10$ A, $l = 0.03$ m, $B = 0.27$ T: $F = 10 \times 0.03 \times 0.27$.
4. $F = 8.1 \times 10^{-2}$ N.
_Source: NCERT Class 12 Physics Ch 4 "Moving Charges and Magnetism", p.158_
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