A single circular loop of wire with radius 2.40 cm lies in the xy-plane. There is a uniform magnetic field that changes at a steady rate from 0.140 T in the +z-direction at to 0.110 T in the -z-direction at 2 s. Take the area vector for the loop to be in the +z-direction. Find (a) the magnetic flux through the loop at t = 0 and t=2 s, and (b) the magnitude of the induced emf in the loop while the field is changing.A. a) Flux(t=0) = 2.53 * 10^{-4} Wb and Flux(t=2) = -1.99 * 10^{-4} Wb b) emf = 0.226 mV B. a) Flux(t=0) = 1.44 * 10^{-4} Wb and Flux(t=2) = -4.32 * 10^{-4} Wb b) emf = 0.477 mVC. a) Flux(t=0) = -2.53 * 10^{-4} Wb and Flux(t=2) = 2.53 * 10^{-4} Wb b) emf = 1 mV D.a) Flux(t=0) = 4.32 * 10^{-4} Wb and Flux(t=2) = 1.02 * 10^{-4} Wb b) emf = 1.34 mV
A single circular loop of wire with radius 2.40 cm lies in the xy-plane. There is a uniform magnetic field that changes at a steady rate from 0.140 T in the +z-direction at to 0.110 T in the -z-direction at 2 s. Take the area vector for the loop to be in the +z-direction. Find (a) the magnetic flux through the loop at t = 0 and t=2 s, and (b) the magnitude of the induced emf in the loop while the field is changing.
A. a) Flux(t=0) = 2.53 * 10^{-4} Wb and Flux(t=2) = -1.99 * 10^{-4} Wb
b) emf = 0.226 mV
B. a) Flux(t=0) = 1.44 * 10^{-4} Wb and Flux(t=2) = -4.32 * 10^{-4} Wb
b) emf = 0.477 mV
C. a) Flux(t=0) = -2.53 * 10^{-4} Wb and Flux(t=2) = 2.53 * 10^{-4} Wb
b) emf = 1 mV
D.a) Flux(t=0) = 4.32 * 10^{-4} Wb and Flux(t=2) = 1.02 * 10^{-4} Wb
b) emf = 1.34 mV
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