1. In the circuit above, the switch S1 closes at time t=0s. Resistor R1 has a re

Question

1. In the circuit above, the switch S1 closes at time t=0s.
Resistor R1 has a resistance value of R1=R1= 13 kk.
Capacitor C1 has a capacitance value of C1=C1= 20 nFnF.
What is the R-C time constant (in seconds) that characterizes the charging characteristics of this circuit?
You can use scientific notation for your numbers (example: 8.64e-05).

2.  How many seconds does it take for the capacitor voltage to reach 75 % of the source voltage?
Another way to ask the question:
How many seconds does it take for the capacitor voltage to reach 75 % of the maximum voltage?
You can use scientific notation for your numbers.

Explanation / Answer

1. time constant = T = RC = 13000 x 20e-09 s = 2.6e-04 s

2. Vc = Vo(1 - e-t/T)

=> 0.75 = 1 - e-t/(2.6e-04)

=> t = 3.60436e-04 s

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