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The cruuent in an ideal, long solenoid i...

The cruuent in an ideal, long solenoid is varied at a uniform rate of `0.02A//s`. The solenoid has 1000 turns/s and its radius is 8 cm.
(i) Consider a circle of radius 2 cm inside the solenoid with its axis coinciding with the axis of the solenoid. Write the change in the magnetic flux through this circle in 4 s.
(ii) Find the electric field induced at a point on the circumference of the circle.
(iii) Find the electric field induced at a point outside the solenoid at a distance 9 cm from its axis.

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