Question

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.

Answer #1

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solenoid with N2 turns is wound uniformly around the first. The two
coils are wound in the same direction.
Derive an expression for the inductance L1 when only the first
coil is used.
Express your answer in terms of μ0, r, A, N1, and N2.
Derive an expression for the inductance L2 when only the second
coil...

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Calcualte the coil's self-inductance.
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