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Solve the all parts of given problem:

Problem: Suppose a long solenoid is wound with 1000 turns per meter and the current in the windings is increasing at the rate of 100.0 A/s. The cross-sectional area of the solenoid is 4 cm2.

Part A: What is the rate of change of the flux in the solenoid?

Part B: What is the induced emf?

Part C: How is the direction of the emf related to the direction in which the current is increasing?

I need help to determine the rate of change of the flux in the solenoid, Thank you so much for your help!

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