A conducting loop of area 5.0 cm ^2 is placed in a magnetic field which varies sinusoidally with time as B = B₀ t where B₀ = 0.20 T and = 300 s ⁻¹ . The normal to the coil makes an angle of 60^ with the field. Determine the emf induced at t = ( 600 ) s .

Step-by-step solution

The magnetic flux through the loop is given by = B A Substituting B = B₀ t , we get: = B₀ A t According to Faraday's law, the induced emf is: e = - d dt = -B₀ A t Substituting = 300 s ⁻¹ and t = 600 s : t = 300 600 = 2 Since ( 2 ) = 0 , the induced emf at this instant is zero, regardless of the values of A , B₀ , and .