In the figure, a 94-turn coil of radius 2.8 cm and resistance 6.5 ? is coaxial w

Question

In the figure, a 94-turn coil of radius 2.8 cm and resistance 6.5 ? is coaxial with a solenoid of 220 turns/cm and diameter 3.8 cm. The solenoid current drops from 1.9 A to zero in time interval ?t = 24 ms. What current is induced in amperes in the coil during ?t?

In the figure, a 94-turn coil of radius 2.8 cm and resistance 6.5 ? is coaxial with a solenoid of 220 turns/cm and diameter 3.8 cm. The solenoid current drops from 1.9 A to zero in time interval ?t = 24 ms. What current is induced in amperes in the coil during ?t?

Explanation / Answer

N=94

n=220 turns/cm =220*10^2 turns/m

I=1.9A

A=pid^2/4 =pi*0.038^2/4 =11.34*10^-4 m^2

Bf =uonI =4pi*10^-7*220*10^2*1.9

Bf=0.0525T

dB=Bf-Bi =0.0525 T

E=NA(dB/dt) =94*11.34*10^-4*(0.0525/24*10^-3)

E=0.233 V

I=V/R =0.233/6.5

I=0.0358 A or 35.8 mA

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