Asingle loop of nickel wire, lying flat in a plane, has an area of 7.40 cm^2 and a resistance of 2.40 ω. a uniform magnetic field points perpendicular to the plane of the loop. the field initially has a magnitude of 0.500 t, and the magnitude increases linearly to 3.00 t in a time of 1.12 s. what is the induced current (in ma) in the loop of wire over this time?

Explanation:

It is given that,

Area of nickel wire,

Resistance of the wire, R = 2.4 ohms

Initial value of magnetic field,

Final magnetic field,

Time, t = 1.12 s

Let I is the induced current in the loop of wire over this time. Te emf induced in the wire is given by Faraday's law as :

Induced current in the loop of wire is given by :

So, the induced current in the loop of wire over this time is . Hence, this is the required solution.