17) A circular conducting loop A with resistance of 0.50 of radius 0.05 m sits i

Question

17) A circular conducting loop A with resistance of 0.50 of radius 0.05 m sits inside a solenoid (a coil) 10 of radius 0.09 m. If the magnetic field inside the solenoid varies as 0.80t2-0.1 T, where t is in pts seconds, and the direction of B is shown at t = 0 s, (a) what is the induced current at t = 2.0 s? (b) What direction is the induced current in loop A at 2.0 s? sol enoid loop A hd di dt a t nol is ) ccw since the Fied f Tha coil increasing andd painting into page tKu induceQ -must be out.

Explanation / Answer

17) (A) induced emf = rate of change of magnetic flux

= (pi 0.05^2)d(0.80t^2 - 0.1)/dt

= pi (0.05^2)(1.60 t )

at t = 2 s

e = pi (0.05^2)(1.60 x 2)

e = 0.025 Volt

I = e / R = 0.05 A

(B) field is out of page and flux is increasing.

so field due to induced current will be into the page.

Ans: clockwise

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