In the LC circuit in the figure below, the inductance is L-18.4 mH and the capac
ID: 2036923 • Letter: I
Question
In the LC circuit in the figure below, the inductance is L-18.4 mH and the capacitance is C-16.8 mF At some moment, UB : U, 425 mJ., Capacitor initially fully charged; switch open S 0 Il (a) What is the maximum charge stored by the capacitor? (b) What is the maximum current in the circuit? c At t 0, the capacitor is fully charged write an expression for the charge stored by the ca actor as a nction of time variables, substitute numeric values. Assume Q is in coulombs and t is in seconds. Do not include units in your answer.) use the i n as necessa t Do not use other Q(t) (d) Write an expression for the current as a function of time. (Use the following as necessary: t. Do not use other variables, substitute numeric values. Assume I is in amperes and tis in seconds. Do not include units in your answer. Assume that the positive current is in clockwise direction) I(t)Explanation / Answer
(a) Total energy=42.5+42.5=85mJ
maximum charge be Q
0.5*Q^2/C=85*10^(-3)
Q=0.0534 C
(b) for inductor
0.5*L*I^2=85*10^(-3)
I=3.3 A
(c)w=1/sqrt(LC)=58.3
q=Qsin(wt)=0.0534sin(58.3t)
(d)i=Isin(wt+90)=3.3sin(58.3wt+90)