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An air cored solenoid with length 30 cm,...

An air cored solenoid with length 30 cm, area of cross-section `25 cm^(2)` and number of turns 500 carries a current of `2.5 A`. The current is suddenly switched off in a brief time of `10^(-3)` s. How much is the average back e.m.f. induced across the ends of the open switch in the cuicuit ? Ignore the variation in magnetic field near the ends of the solenoid.

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