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

question 85

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)

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