In an Electric Circuit, Let Q(t)be the Charge on a Capacitor

Multiple Choice

In an electric circuit, let Q(t) be the charge on a capacitor at time t.Then the current in the circuit is given by $I(t) =\frac{d Q}{d t}$ (the rate of change of the charge) .The charge and the current satisfy the differential equation $L \frac{d I}{d t}+\frac{Q}{C}=0$ .If L = 34 henry, and C = 10 farad, find a formula for Q(t) with initial conditions Q(0) = 0 and I(0) = 2.Round constants to three decimal places.

A) Q(t) = 36.878sin(0.054t)
B) Q(t) = 36.878cos(0.054t)
C) Q(t) = 0.054sin(0.054t)
D) Q(t) = 36.878cos(0.054t) + 0.054sin(34t)
E) Q(t) = 10cos(34t) + 10sin(34t)