Consider the RLC circuit in Problem 11.
a. Write the governing equation in terms of the electric charge q.
b. Assuming initial conditions are q(0) = 0, (0) = 1, plot q and i versus t (same figure) when the applied voltage va is a unit impulse.
PROBLEM 11 The governing equation for an RLC circuit driven by the applied voltage va(t) is derived as
where L = 4 H, R = 4 Ω, and C = F.
a. Write the governing equation in terms of the electric charge q.
b. Assuming zero initial conditions, plot q and i versus t (same figure) when the applied voltage va is a unit impulse.
