A very long solenoid with a circular cross section and radius r1= 1.30 cm with ns= 260 turns/cm lies inside a short coil of radius r2= 4.60

Question

A very long solenoid with a circular cross section and radius r1= 1.30 cm with ns= 260 turns/cm lies inside a short coil of radius r2= 4.60 cm and Nc= 23 turns. If the current in the solenoid is ramped at a constant rate from zero to Is= 1.90 A over a time interval of 88.0 ms, what is the magnitude of the emf in the outer coil while the current in the solenoid is changing?

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Mộc Miên 2 months 2021-08-04T22:27:19+00:00 1 Answers 3 views 0

Answers ( )

    0
    2021-08-04T22:29:11+00:00

    Answer:

    0.00851 volts

    Explanation:

    radius r1= 1.30 cm with ns= 260 turns/cm

    radius r2= 4.60 cm and Nc= 23 turns

    constant rate from zero to Is= 1.90 A

    time interval of 88.0 ms

    Area of the solenoid

    A_1=\pi*r_1^2

    =\pi*0.013^2

    A_1=5.31*10^-^4 m^2

    Mututal Inductance

    M=uo*n*N*A1

    M=(4\pi*10^-^7)*23*(260*10^2)*(5.31*10^-^4)

    M=3.99*10^-^4 H

    a)

    EMF induced in the outer coil

    E=M(dIs/dt)

    E=(3.99*10^-^4)*(1.9/88*10^-^3)

    E=0.00861 Volts

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