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A coil of 100 turns and area 2×10-2 m2 is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.3Nm. When the plane is east-west, the corresponding couple is 0.4Nm, the value of magnetic induction is (neglect earth’s magnetic field)…………T.

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answer is 0000.05.

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Detailed Solution

Torque, τ=BANisinθ⇒τ ∝SinθCase(i) τ1∝Sinθ N-S Case (ii) τ2∝Sin(90o-θ) E-WDividing , τ1τ2=tanθ=0.30.4=34⇒Sinθ=35&Cosθ=45Now , τ=BANiSinθ (Consider case (i))⇒B=τANiSinθ=0.32×10-2×100×5×35=0.05T

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A coil of 100 turns and area 2×10-2 m2 is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.3Nm. When the plane is east-west, the corresponding couple is 0.4Nm, the value of magnetic induction is (neglect earth’s magnetic field)…………T.