In the circuit of Figure P28.41, the switch S has been open for a long time. It is then suddenly closed. Take ? = 10.0 V, R1 = 50.0 k?, R2 = 100 k?, and C = 10.0 ?F. Determine the time constant (a) before the switch is closed and (b) after the switch is closed. (c) Let the switch be closed at t = 0. Determine the current in the switch as a function of time.
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The time constant for an RC circuit is given by τ = RC. In this case, R = R1 = 50.0 kΩ and C = 10.0 pF. So, the time constant before the switch is closed is: τ_before = R1 * C = (50.0 * 10^3 Ω) * (10.0 * 10^-12 F) = 5.0 * 10^-7 s (b) After the switch is closed, Show more…
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