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Figure 30-35a shows a circuit consisting of an ideal battery with emf = 6.01 ?V,

ID: 2069027 • Letter: F

Question

Figure 30-35a shows a circuit consisting of an ideal battery with emf = 6.01 ?V, a resistance R, and a small wire loop of area 5.9 cm2. For the time interval t = 11 s to t = 22 s, an external magnetic field is set up throughout the loop. The field is uniform, its direction is into the page in Fig. 30-35a, and the field magnitude is given by B = at, where B is in teslas, a is a constant, and t is in seconds. Figure 30-35b gives the current i in the circuit before, during, and after the external field is set up. The vertical axis scale is set by is = 4.1 mA, and the horizontal axis scale is set by ts = 33 s. Find a.

Figure 30-35a shows a circuit consisting of an ideal battery with emf = 6.01 ?V, a resistance R, and a small wire loop of area 5.9 cm2. For the time interval t = 11 s to t = 22 s, an external magnetic field is set up throughout the loop. The field is uniform, its direction is into the page in Fig. 30-35a, and the field magnitude is given by B = at, where B is in teslas, a is a constant, and t is in seconds. Figure 30-35b gives the current i in the circuit before, during, and after the external field is set up. The vertical axis scale is set by is = 4.1 mA, and the horizontal axis scale is set by ts = 33 s. Find a.

Explanation / Answer

induced current = 2 * 0.0041 = 0.0082 amps

also

resistance of circuit = emf / main current = 6.01 / (3*0.0041) = 488.62

induced current = area * dB/dt / R

   0.0082 = 0.00059 * a / 488.62

a = 6791 Tesla/sec

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