An 30-turn coil has square loops measuring 0.341 m along a side and a resistance of 3.61 Ω. It is placed in a magnetic field that makes an angle of 37.5° with the plane of each loop. The magnitude of this field varies with time according to B = 1.45t^3, where t is measured in seconds and B in teslas. What is the induced current in the coil at t = 1.73 s?

Thus, the induced current in the coil at is 9.98 A.

Explanation:

Faraday's law says

where is the number of turns and is the magnetic flux through the square coil:

Now,

;

therefore,

is the emf induced in the coil.

Now, the loop is connected to resistance; therefore, at

Thus, the current in the coil at is 9.98 A.

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