A200-turn rectangular coil having dimensions of 3.0 cm by 6.0 cm is placed in a uniform magnetic field of magnitude 0.76 t. (a) find the current in the coil if the maximum torque exerted on it by the magnetic field is 0.14 n · m. a (b) find the magnitude of the torque on the coil when the magnetic field makes an angle of 25° with the normal to the plane of the coil. n · m

(a). Current, I = 0.512 A = 512 mA

(b). Torque,

Given:

Number of turns in the rectangular coil, n = 200 turns

Area of the coil with dimensions 3.0 cm by 6.0 cm, A =

Intensity of magnetic field, B = 0.76 T

maximum torque,

angle,

Solution:

(a) Current in the coil, I can be calculated by the given relation:

Therefore,

Now substituting the given values in the above eqn:

I = 0.512 A = 512 mA

(b)  Magnitude of torque can be calculated by the given relation:

Now,

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explanation: