If the current in the solenoid is ramped at a constant rate from zero to I s = 1

Question

If the current in the solenoid is ramped at a constant rate from zero to Is= 1.40 Amperes over a time interval of 62.0 milliseconds, what is the magnitude of the emf in the outer coil while the current in the solenoid is changing?

A very long solenoid with a circular cross section and radius r1= 1.10 centimeters with ns= 300 turns/cm lies inside a short coil of radius r2= 3.50 centimeters and Nc= 32 turns. If the current in the solenoid is ramped at a constant rate from zero to Is= 1.40 Amperes over a time interval of 62.0 milliseconds, what is the magnitude of the emf in the outer coil while the current in the solenoid is changing?

Explanation / Answer

The mutual inductance = ?o*A1*ns*Nc = (note convert ns to turns per meter)

?o*?*0.0110^2*30000*32 = 4.586x10^-4

so emf = M*di/dt = 4.586x10^-4*1.4/0.062 = 10.356x10^-3V

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