Question

10. A single turn of a rectangular loop (length 8.00 m, height 6.00 m, resistance 0.150 (2) is traveling to the right at a constant speed of 0.500 m/s. The loop travels across a 3.00-m-wide zone of uniform magnetic field of 0.450T directed out of the page. Assume that the loop begins to enter the zone at time t-0.00 s (a) (10 pts) Determine the induced current at time 3.00 s. (Specify both magnitude & direction.) (b) (5 pts) Determine the time intervals during which there is no induced current in the loop. в: 6.00 m 8.00 m OO

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Answer 1

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Velocity of loop = 0.500 m/s width of zone at magnetic field = 3.00 m B = 0.4507 loop begins to enter the zone at time t = 0.0 sec Time interval for which flux linked with the loop increases is Delta t_1 = width/velocity = 3.00/0.50 = 6 sec After 6 sec flux linked with the loop remains constant until it covers 2.0 m m ore distance i e for time interval Delta t_2 = 2.00/0.50 = 4 sec Thus at t = 10.0 sec the area of the loop inside field starts decreasing so flux decreasing for 6.0 sec a) Induced current at t = 3.00 sec is i = epsilon/R = 8 v l/R = 0.450 times 0.50 times 0.60/0.150 i = 9 amp b) time interval for which there is no induced current is 4 sec