A circular coil of 124 turns has a radius of 1.86 cm. (a) Calculate the current that results in a magnetic dipole moment of magnitude 3.28 A·m2. (b) Find the maximum magnitude of the torque that the coil, carrying this current, can experience in a uniform 27.4 mT magnetic field.

Question

Physics

Kareem Murillo

23 September, 03:23

A circular coil of 124 turns has a radius of 1.86 cm. (a) Calculate the current that results in a magnetic dipole moment of magnitude 3.28 A·m2. (b) Find the maximum magnitude of the torque that the coil, carrying this current, can experience in a uniform 27.4 mT magnetic field.

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Answers (1)

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Heather Downs · Answer 1

(a) 24.35 A

(b) 0.089 Nm

Explanation:

N = 124

R = 1.86 cm = 0.0186 m

M = 3.28 A m^2

(a)

M = N I A

3.28 = 124 x I x 3.14 x 0.0186 x 0.0186

I = 24.35 A

(b) For maximum torque, angle = 90 degree

τ = M B Sin 90

τ = 3.28 x 27.4 x 10^-3 = 0.089 Nm