In Fig. 30-65, R ! 15 ", L 5.0 H, the ideal battery has 10

Chapter , Problem 57

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In Fig. 30-65, R ! 15 ", L 5.0 H, the ideal battery has 10 V, and the fuse in the upper branch is an ideal 3.0 A fuse. It has zero resistance as long as the current through it remains less than 3.0 A. If the current reaches 3.0 A, the fuse blows and thereafter has infinite resistance. Switch S is closed at time t 0. (a) When does the fuse blow? (Hint: Equation 30-41 does not apply. Rethink Eq. 30-39.) (b) Sketch a graph of the current i through the inductor as a function of time. Mark the time at which the fuse blows.

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