Figure above (a) shows two concentric circular regions in which uniform magnetic

Question

Figure above (a) shows two concentric circular regions in which uniform magnetic fields can change. Region 1, with radius r1 = 2.3 cm, has an outward 1 magnetic field that is increasing in magnitude. Region 2, with radius r2 = 4.6 cm, has an outward magnetic field 2 that may also be changing. Imagine that a conducting ring of radius R is centered on the two regions and then the emf around the ring is determined. Figure below (b) gives emf as a function of the square R2 of the ring's radius, to the outer edge of region 2. The vertical axis scale is set by s = 25.4 nV. What are the rates (a) dB1/dt and (b) dB2/dt? (c) Is the magnitude of B2 increasing - show "1", decreasing - show "0", or remaining constant - show "3"?

Explanation / Answer

slope of the graph d/d(R2) = *dB2/dt = 6*25.4/(21.10 - 5.29) = 8.03 nV/cm2 = 8.03*10-5 V/m2 dB2/dt = 8.03*10-5/ = 2.56*10-5 T/s > 0, so B2 is increasing

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