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A moving coil galvanometer has a coil with 175 turns and area 1 cm². It uses a torsion band of torsion constant 10⁻⁶ N m/rad. The coil is placed in a magnetic field B parallel to its plane. The coil deflects by 1° for a current of 1 mA. The value of B (in Tesla) is approximately

Asked in JEE Main 9th April 2nd Shift 2019 · Galvanometer sensitivity and figure of merit

Answer: (1) 10⁻³

Step-by-step solution

NIAB = kθ with θ = 1° = 0.01745 rad.

B = (kθ)/(NIA) = (10⁻⁶ × 0.01745)/(175 × 10⁻³ × 10⁻⁴)

B ≈ 1.0 × 10⁻³ T

Why the other options are wrong

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