A rectangular coil of wire of 100 turns and 10 × 15 cm2 size carrying a current of 2Amp. is in a magnetic field of induction 2×10-3 Wb/m2. If the normal drawn to the plane of the coil makes an angle 30° with the field, then the torque on the coil is

τ=NIABsinθ⇒τ=100×2×(10×15)×10-4×2×10-3sin30=3×10-3 Nm

A rectangular coil of wire of 100 turns and 10 × 15 cm2 size carrying a current of 2Amp. is in a magnetic field of induction 2×10-3 Wb/m2. If the normal drawn to the plane of the coil makes an angle 30° with the field, then the torque on the coil is

τ=NIABsinθ⇒τ=100×2×(10×15)×10-4×2×10-3sin30=3×10-3 Nm

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A rectangular coil of wire of 100 turns and 10 × 15 cm² size carrying a current of 2Amp. is in a magnetic field of induction $2 \times 10^{- 3} Wb / m^{2}$ . If the normal drawn to the plane of the coil makes an angle 30° with the field, then the torque on the coil is

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3 × 10^–5N-m

3 × 10^–3N-m

$3 \sqrt{3} \times 10^{- 5} N - m$

$3 \sqrt{3} \times 10^{- 3} N - m$

answer is B.

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Detailed Solution

$τ = NIABsin θ$

$\Rightarrow τ = 100 \times 2 \times (10 \times 15) \times 10^{- 4} \times (2 \times 10^{- 3}) \sin 30 = 3 \times 10^{- 3} Nm$

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A rectangular coil of wire of 100 turns and 10 × 15 cm2 size carrying a current of 2Amp. is in a magnetic field of induction 2×10-3 Wb/m2. If the normal drawn to the plane of the coil makes an angle 30° with the field, then the torque on the coil is

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A rectangular coil of wire of 100 turns and 10 × 15 cm² size carrying a current of 2Amp. is in a magnetic field of induction $2 \times 10^{- 3} Wb / m^{2}$ . If the normal drawn to the plane of the coil makes an angle 30° with the field, then the torque on the coil is