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physics test review question #2 help!~ 2. A 200 ko resistor and a capacitor are

ID: 1305683 • Letter: P

Question

physics test review question #2 help!~

2. A 200 ko resistor and a capacitor are connected in series with a battery. The time constant of this circuit is 0.8 seconds [aj What is the capacitance of the capacitor? [b] The battery is removed from the circuit when the capacitor has ben charged to 8X 10 C. Ifthe capacitor is then discharged through the resistor at t-0, what will be the charge on the capacitor att 0.8 seconds? [c The current through an inductor connectedin series with a 4uF capacitor oscillates with an angular frequency 25 rad/s. What is the inductance of the inductor?

Explanation / Answer

a)

Time Constant

T=R*C

=>C=T/R =0.8/(200*103)

C=4*10-6s or 4.6 us

b)

For capacitor Discharge as a function of TIme

Q=Qmaxe-(t/T)

Q=(8*10-4)*e-(0.8/0.8)

Q=2.94*10-4C

c)

W=1/sqrt(LC)

L=1/W2C =1/252*(4*10-6)

L=400 H