Consider a long cylindrical solenoid with diameter R, number of current loops N and length L...

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Consider a long cylindrical solenoid with diameter R, number of current loops N and length L through which a current I runs. Now (a) Use Ampère's law to calculate the magnetic field inside the solenoid. Assume, for the purposes of Ampère's law, that the solenoid is infinitely long, i.e. the field is independent of the position along the length of the cylinder. (b) The solenoid is driven by a current I(t) = lo cos wt. Another conducting loop (a single turn) is placed tightly around the solenoid. Calculate the EMF induced in this loop. Consider a long cylindrical solenoid with diameter R, number of current loops N and length L through which a current I runs. Now (a) Use Ampère's law to calculate the magnetic field inside the solenoid. Assume, for the purposes of Ampère's law, that the solenoid is infinitely long, i.e. the field is independent of the position along the length of the cylinder. (b) The solenoid is driven by a current I(t) = lo cos wt. Another conducting loop (a single turn) is placed tightly around the solenoid. Calculate the EMF induced in this loop.

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