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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?

Answer :

Olajidey

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

[tex]A_1=\pi*r_1^2[/tex]

[tex]=\pi*0.013^2[/tex]

[tex]A_1=5.31*10^-^4 m^2[/tex]

Mututal Inductance

M=uo*n*N*A1

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

[tex]M=3.99*10^-^4 H[/tex]

a)

EMF induced in the outer coil

E=M(dIs/dt)

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

[tex]E=0.00861 Volts[/tex]

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