IP A solenoid has N turns of area A distributed uniformly along its length, ? .

Question

IP A solenoid has N turns of area A distributed uniformly along its length, ?. When the current in this solenoid increases at the rate of 2.4A/s , an induced emf of 75mV is observed.

B.

Suppose the spacing between coils is doubled. The result is a solenoid that is twice as long but with the same area and number of turns. Will the induced emf in this new solenoid be greater than, less than, or equal to 75mV when the current changes at the rate of 2.4A/s?

Answer: Less than 75 mV

C. Explain?

D. Calculate the induced emf for part B.

E =_____________ mV

Thank you!

Explanation / Answer

A. V = Ldi/dt ==> L = V/(di/dt)

B, C. L is proportional to N^2*area/length; twice the length = half the inductance, half the voltage.

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