.. For the situation described in Figure 31.32, the mag- (, netic field varies a
ID: 1770028 • Letter: #
Question
.. For the situation described in Figure 31.32, the mag- (, netic field varies as B (2t3-4t2 + 0.8) T, and ra- 9R-5 cm. (a) Calculate the magnitude and direction of the force exerted on an electron located at point P2 when t 2s. (b) At what time is the force equal to P1 zero? 11.(b) A magnetic Beld directed into the page changes with time according to B- (0.032 1.4) T, wheretis in s. The field has a circular cross-section of radius R- 2.5 cm (Fig. 31.32). What are the magnitude and di rection of the electric field at point Pi when t3s Figure 31.32 and r1 -0.02 m?Explanation / Answer
a] E = R^2/2r dB/dt
= 0.025^2/(2*0.05) (6t^2-8t)
F = qE = 1.6e-19*0.025^2/(2*0.05) (6*2^2-8*2)
= 8*10^-21 N clockwise
b] Force is zero when dB/dt = 0
6t^2-8t = 0
t = 8/6 = 1.333 s answer
11b] E = r/2 dB/dt = 0.02/2 *[0.06t]
= 0.01*0.06*3
= 0.0018 N/C counterclockwise
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