part d and e In an oscillating LC circuit, L = 29.0 mH and C = 7.80 ?F. At time

Question

part d and e

In an oscillating LC circuit, L = 29.0 mH and C = 7.80 ?F. At time t = 0 the current is 9.40 mA, the charge on the capacitor is 3.10 pC, and the capacitor is charging (a) What is the total energy in the circuit? 0.000001897 (b) What is the maximum charge on the capacitor? 0.00000544C (c) What is the maximum current? 0.01143 Q cos(ot + g), what is the phase angle q? (d) If the charge on the capacitor is given by q 0.96 (e) Suppose the data are the same, except that the capacitor is discharging at t-0. What then is g

Explanation / Answer

given charge q = 3.1*10^-6 C

maximum charge Q = 5.44*10^-6 C

from expression q = Qcos(wt + phi)

at time t = 0

3.1*10^-6 = 5.44*10^-6*cos(0 + phi)

cosphi = 0.569 = +/-55.3

if phi = + 55.3

cos(wt + phi) value decreases

q is decreasing with time , the capacitor is discharging

if phi = -55.3

cos(wt - phi) value increases

q is increasing with time , the capacitor is charging

(d)

-55.3o

(e)

+ 55.3 o

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