Problem 9: In the RLC circuit shown on the right R = 0.015 Q, L= 2.8 H, and C = 2.8 F. The initial charge carried by the capacitor is Qo = 0.075 C. The switch is closed at time t = 0. R C Part (a) Express the angular frequency, w, of damped oscillation in the circuit in terms of R, L, and C. (R 1 R 1 R

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Problem 9: In the RLC circuit shown on the right R = 0.015 2, L= 2.8 H, and C = 2.8 F. The
initial charge carried by the capacitor is Qo = 0.075 C. The switch is closed at time t = 0.
R
HH
Part (a) Express the angular frequency, w, of damped oscillation in the circuit in terms of R, L, and C.
1
R
1
2
R
1
2
R
W =
W =
ω
LC
2L
LC
\2L
LC
2
1
R
1
+
LC
1
L
ω -
W =
W =
2R
LC
2L
LC
2R.
Submit
Hint
Feedback
I give up!
Part (b) Calculate the angular frequency, w, in radians per second.
Part (c) Express the charge, Q, on the capacitor as a function of time in terms of Qo, R, L, and w.
Part (d) Calculate the value of Q, in coulombs, at time t = 1 s.
Part (e) Express the critical resistance, R., in terms of L and C.
Part (f) Calculate the value of Rc, in ohms.
II II I
Transcribed Image Text:Problem 9: In the RLC circuit shown on the right R = 0.015 2, L= 2.8 H, and C = 2.8 F. The initial charge carried by the capacitor is Qo = 0.075 C. The switch is closed at time t = 0. R HH Part (a) Express the angular frequency, w, of damped oscillation in the circuit in terms of R, L, and C. 1 R 1 2 R 1 2 R W = W = ω LC 2L LC \2L LC 2 1 R 1 + LC 1 L ω - W = W = 2R LC 2L LC 2R. Submit Hint Feedback I give up! Part (b) Calculate the angular frequency, w, in radians per second. Part (c) Express the charge, Q, on the capacitor as a function of time in terms of Qo, R, L, and w. Part (d) Calculate the value of Q, in coulombs, at time t = 1 s. Part (e) Express the critical resistance, R., in terms of L and C. Part (f) Calculate the value of Rc, in ohms. II II I
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