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You have a solenoid with 570 turns that is 15 cm long and has a cross-sectional...

You have a solenoid with 570 turns that is 15 cm long and has a cross-sectional area of 6.5 ??2.
a. (3 pts) Calculate the self-inductance for the solenoid.
b. (4 pts) You now wind a second solenoid around the first solenoid (so they are both wound around the same core). The second solenoid does not have the same number of turns as the first. You attach a power supply to first solenoid and tune the power supply in such a way that the current in the first solenoid changes from 8.2 A down to 3.0 A in 75 ms. During this 75 ms change in the current, you measure an induced emf in the second solenoid of 4.9 mV. What is the mutual inductance of the pair of solenoids?
c. (3 pts) You disconnect the power supply from the first solenoid and attach it to the second solenoid instead. Calculate the magnetic flux through each turn of the first solenoid that would result if you use the power supply to set the current in the second solenoid to 2.0 A.

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