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7. a) A magnetic flux of 4.0 x 10 Wb is maintained through a coil for 0.50 s Find the emf induced in this coil by this flux. b) The magnetic flux linkage through a coil of wire placed through a uniform magnetic field is 0.60 Wb. If the direction of magnetic field is reversed in 0.10 s, without changing its magnitude what is the average emf produced? c) A rectangular frame of 30 cm x 20 cm is wrapped with 300 turns of wire The coil is situated in a uniform magnetic field where the plane is perpendicular to the field. Calculate the magnitude of the induced emf in the coil when the magnetic field changes from 0 to 0.800 T in 0.960 s. d) A wire loop of 18 cm in diameter is placed in a uniform magnetic field, B- 0.60 T. The plane of the loop is perpendicular to the direction magnetic field. If the loop is quickly removed from magnetic field area within 111 ms, calculate induced emf

Answer 1

Epsilon = d phi/dt = 4 times 10^-5/0.5 = 8 times 10^-5 V b) epsilon = d phi/dt = 2 times 0.6/0.1 = 12V c) epsilon = NA d B/dt = 300 times 0.3 times 0.2 times 0.8/0.960 epsilon = 15 V d) epsilon = A dB/dt = pi times (0.09)^2 times 0.6/0.111 epsilon = 0.13755 V