a)The plane of a rectangular coil, 2.7 cm by 10.8 cm, is perpendicular to the di

Question

a)The plane of a rectangular coil, 2.7 cm by 10.8 cm, is perpendicular to the direction of a uniform magnetic field B. If the coil has 87 turns and a total resistance of 9
, at what rate must the magnitude of B change to induce a current of 0.09 A in the
windings of the coil? Answer in units of T/s.

b)A plane loop of wire of area A is placed in a region where the magnetic field is perpendicular to the plane. The magnitude of B varies in time according to the expression B = B0 e^(-at). That is, at t = 0 the field is B0, and for t > 0, the field decreases exponentially in time. Find the induced emf, E, in the loop as a function of time.

Explanation / Answer

Given that Area of the rectangular coil is A = 2.7 cm * 10.8 cm

                                                                    = 29.1 *10^-4 m^2

Number of turns is N = 87

resistance R = 9 ohms

induced current is i = 0.09 A

d B /dt   =   N i R^2 / A

               = 87 * 0.09* ( 9 )^2 / 29.1 *10^-4

                 = 2.175*10

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