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Problem 5 [30 Points] Show all relevant work!!! e000oCOo The figure shows a long solenoid S with a shorter, smaller solenoid C inside it. The smaller solenoid has 150 turns and a diameter of 2 cm The larger solenoid S has 300 turns/em anda radius of 3.5 cm. Axis At t-0 the current in S is 2.5 A. It comes out at the top and goes in at the bottom, as shown in the figure. (a) [10 pts] What is the magnitude and direction of the magnetic field on axis at t-0? (b) [5 pts] What is the magnetic flux through solenoid Cat t=0? (c) [10 pts] Over the next 25 ms the current in S is reduced to zero at a steady rate. What is the magnitude of the Emf induced in solenoid C while the current is being reduced? (d) [5 pts] What is the direction of the of the current induced in solenoid C?

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