The magnetic field B ? at all points within the region has an initial magnitude

Question

The magnetic field B? at all points within the region has an initial magnitude of 0.750 T. The magnetic field is directed into the plane of the diagram and is decreasing at the rate of -3.10

The magnetic field B? at all points within the region has an initial magnitude of 0.750 T. The magnetic field is directed into the plane of the diagram and is decreasing at the rate of -3.10 times 10?2T/s A square conducting loop, 20.0 cm on a side, is placed in this magnetic field. (See the figure (Figure 1) ; the center of the square loop is at the center of the magnetic-field region.) Draw vectors to show the directions of the induced electric field E? at points a, b, and c. Find the component of E? along the loop. What current is induced in the loop if its resistance is 1.80? ? What is the potential difference between points a and b?

Explanation / Answer

indused emf = A*dB/dt

emf = 0.2^2*3.1*10^-2

emf = 1.24*10^-3 volts

i = emf/R = 0.689*10^-3 A


Vab = emf/4 = 0.31*10^-3 volts

E = Vad/0.2 = 1.55*10^-3 N/c ( from c to b, from b to c)


the direction of current is counter clockwise

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