A solenoid of length 0.4 m and having 500 turns of wire carries a current of 3 A . A thin coil having 10 , turns of wire and of radius 0.01 m carries a current of 0.4 A. The torque required to hold th

Question

A solenoid of length 0.4 m and having 500 turns of wire carries a current of 3 A . A thin coil having 10 , turns of wire and of radius 0.01 m carries a current of 0.4 A. The torque required to hold the coil in the middle of the solenoid with its axis perpendicular to the axis of solenoid.

TestHub · Accepted Answer

Magnetic field inside the solenoid, B ⇒ B ​ = μ 0 ​ n l = μ 0 ​ 1 N ​ ⋅ 1 = 4 π × 1 0 − 7 × 0.4 500 ​ × 3 ​ ∴ Torque, τ = = = = ​ I A BN 3 × ( π r 2 ) × ( 0.4 4 π × 1 0 − 7 × 500 × 3 ​ ) × 500 3 × 7 22 ​ × ( 0.01 × 1 0 − 2 ) 2 × 0.4 4 π × 1 0 − 7 × 500 × 3 ​ × 500 5.92 × 1 0 − 6 N − m ​

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