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A long solenoid (coil 1) is surrounded at its center by a shorter coil (coil 2)...

A long solenoid (coil 1) is surrounded at its center by a shorter coil (coil 2) as in (Figure 1). At an instant when the current in coil 1 is 44.0 A and increasing at a rate of 2.00 A/s, the induced emf in coil 2 is 1.50×10−4 V. What is the mutual inductance of the two coils?

At this instant, what is the total magnetic flux through all the turns of coil 2 due to the current in coil 1?

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