A solenoid of inductance L is connected, via a resistance R, to a battery of fixed
voltage V0. If the current is denoted by I(t), the voltage across the solenoid will be
VL(t) = LdI/dt . The switch is closed at t = 0.
(a) Determine I(t) and VL(t).
(b) What is the total energy delivered to the solenoid between t = 0 and t = 1?
(c) Assuming that L = μ0N2A/l, where N = number of turns, A = cross-sectional area,
and l = length, find the energy density of the magnetic field H stored within the
solenoid.

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