1.)Find the magnetic ?eld in the solenoid. The outside coil has 100 turns and th

Question

1.)Find the magnetic ?eld in the solenoid. The outside coil has 100 turns and the inside solenoid has 7950 turns. The permeability of free space is 4pi ? 10?7 T *m/A.

Answer in units of T

2.)Find the magnetic ?ux ?12 through the crosssectional area of the large circular coil due to the 30 A current in the solenoid.

Answer in units of T*m^2

3.)Calculate the mutual inductance M of the solenoid and circular coil.

Answer in units of H

4.)Assume the current I2 in the solenoid is increasing linearly at a rate of d*I2/dt=? , where ? = 5 A/s. What is the magnitude of the voltage E1 across the circular coil? Answer in units of V

Explanation / Answer

1) For solenoids: B = ??NI/L B1=(4pix10^-7)(7950turns)(30A)/(8m)= 0.03746 But here you have 2 solendoids, and the inner solenoid will induce a current in the outer solenoid, thus changing the NET magnetic field. The inductance relationship is given by: I2 = I1(N1/N2) = (30) (7950/100) = 2385 A So the 2nd solenoid generates: B2 = (4?x10^-7)(100)(2385) / (4) = 0.07492 T However the induced current in the outer solenoid would be flowing in the opposite direction from the inner solenoid, so B2 would be in the opposite direction as well. So B(net) = 0.07492 - 0.03746 = 0.0374 T = 3.74 *10 6 -2 T 2) B =

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