A very long solenoid of radius a and height h has n closely, Ask an Expert

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A very long solenoid of radius a and height h has N closely wound turns of coil. Suppose there is an increasing current I(t) that runs through the coils. Consider a point P inside the solenoid (i.e. at r < a).

(a) Find the magnetic field at P.
(b) Find the electric field at P.
(c) Find the Poynting vector at P.
(d) What is the total power into/out of the solenoid?

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