Please show every step. 0/10 points | Previcus Answers SerCP7 20 P.014. My Notes

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Please show every step.

0/10 points | Previcus Answers SerCP7 20 P.014. My Notes A square, single-turn wire loop 1.00 cm on a side is placed inside a solenoid that has a circular cross section of radius 3.00 cm, as shown in Figure P20.14. The solenoid is 19.0 cm long and wound with 85 turns of wire. 500 cm 1,00 cn Figure P20.14 (a) If the current in the solenold is 3.00 A, find the flux through the loop Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. T-m2 (b) If the current in the solenold is reduced to zero in 4.00 s, find the magnitude of the average induced emf in the loop. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. V Submit Answer Save Progress Practice Another Version

Explanation / Answer

(a)

Recall that the magnetic field in the interior of an ideal long solenoid is,

B = µ0nI = µ0(N/L)I = 0.0016865 T

for a flux of = AB = (0.01m)2(0.0016865T) = 1.6865 × 107Tm.

(b)

Now assume that the current is reduced uniformly to zero in 4 seconds, then

dB/dt = B/t = 0.0016865T /3.00s = 4.22 × 104 T /s.

E = d/dt = AdB/dt

= (0.01m)2 4.22 × 104T /s

= 4.22 × 108V

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