A coil with 300 turns, a radius of 4.6 cm, and a resistance of 22 ? surrounds a

Question

A coil with 300 turns, a radius of 4.6 cm, and a resistance of 22 ? surrounds a solenoid with 250 turns/cm and a radius of 4.3 cm. The current in the solenoid changes at a constant rate from 0 to 2.7 A in 0.29 s. Calculate the magnitude of the induced current in the coil.

A coil with 300 turns, a radius of 4.6 cm, and a resistance of 22 ? surrounds a solenoid with 250 turns/cm and a radius of 4.3 cm. The current in the solenoid changes at a constant rate from 0 to 2.7 A in 0.29 s. Calculate the magnitude of the induced current in the coil.

Explanation / Answer

N/l =250 turns/cm =250*10^2 turns/m

A=pir^2=pi*0.043^2=5.81*10^-3 m^2

E=uo(N/L)NA(di/dt)

E=(4pi*10^-7)(300)(250*10^2)(5.81*10^-3)(2.7/0.29)

E=0.51 V

I=V/R =0.51/22

I=0.023 A or23.17 mA

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