4. Consider the following RLC circuit, where L = 1H, R = 50, C = 250mF. Vgen = 10t-10. There is initial charge on the capacitor as q(0) = 2.5 Coulumb. The switch has been open for a long time and closes at t= 0. a) Write the differential equation describing the current in the circuit for t > 0. b) What are the initial values for current, i.e., [(0) and ('(0)? c) Write the characteristic equation and identify the type of the circuit (overdamped. underdamped, or critically damped).

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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4. Consider the following RLC circuit, where
L = 1H, R = 50, C = 250mF. Vgen = 10t-10. There
is initial charge on the capacitor as q(0) = 2.5
Coulumb. The switch has been open for a long time and
closes at t = 0.
a) Write the differential equation describing the current in
the circuit for t> 0.
b) What are the initial values for current, i.e., [(0) and i'(0)?
c) Write the characteristic equation and identify the type of the circuit (overdamped.
underdamped, or critically damped).
O
Transcribed Image Text:4. Consider the following RLC circuit, where L = 1H, R = 50, C = 250mF. Vgen = 10t-10. There is initial charge on the capacitor as q(0) = 2.5 Coulumb. The switch has been open for a long time and closes at t = 0. a) Write the differential equation describing the current in the circuit for t> 0. b) What are the initial values for current, i.e., [(0) and i'(0)? c) Write the characteristic equation and identify the type of the circuit (overdamped. underdamped, or critically damped). O
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