1 k2 ww 50 ww 4 k2 50 20 Ω 1 mF 2.5 Ω ww ww ww
The switch in the circuit of Figure P5.58 opens at
t = 0. It closes at t = 10 seconds.
a. What is the time constant for 9 < t < 10 s?
b. What is the time constant for t > 10 s?
The circuit diagram is,
The switch in the circuit opens at t = 0 s and closes at t = 10 s.
a).
The switch remains open between time interval, 9 s < t < 10 s.
Determining the Thevenin’s resistance as looking from the capacitor terminal,
The voltage source is short-circuited. The modified figure is,
From the figure, 1 k and 4 k resistors are in series. The equivalent resistance is,
From the figure, 20 Ω and 5 Ω resistors are in parallel and their equivalent is in series with 1 Ω resistor.
The modified circuit is,
Determining the value of the time constant,
b).
The switch is closed at t = 10 s.
Determining the Thevenin’s resistance as looking from the capacitor terminal,
The voltage source is short-circuited. The modified figure for t > 10 s,
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