A circular coil of 234 turns has a radius of 1.96 cm. (a) Calculate the current that results in a magnetic dipole moment of magnitude 2.57 A·m2. (b) Find the maximum magnitude of the torque that the coil, carrying this current, can experience in a uniform 42.7 mT magnetic field.

a)

b) τ = 0.109 N m (max)

Explanation:

given

magnetic dipole moment   μ = 2.57 Am²

number of turns N = 234

            radius r     = 1.96 cm  = 0.0196 m

using μ  = N I A  

where I is current  and A is area

I = μ/NA

for max torque

we know τ = μΒ

τ  =  2.57 ×0.0427

τ = 0.109 N m (max)

1= 26.17

2= 1.17

3=30.86

4=5.86

just took the assigment on edge

the answer would be   dignified - apex