How long will it take the initially uncharged capacitor in Figure 12-36 to charge to 75 V? What is the capacitor voltage 2 ms after the switch is closed? Use the normalized universal exponential curves in Figure 12-35 to determine the answers.
Question 12.14: How long will it take the initially uncharged capacitor in F...
The full charge voltage is 100 V, which is at the 100% level(1.0) on the normalized vertical scale of the graph. The value 75 V is 75% of maximum, or 0.75 on the graph. You can see that this value occurs at 1.4 time constants. In this circuit, one time constant is RC = (100 kΩ)(0.01 μF) = 1 ms. Therefore, the capacitor voltage reaches 75 V at 1.4 ms after the switch is closed.On the universal exponential curve, you see that the capacitor is at approximately 86 V (0.86 on the vertical axis) in 2 ms, which is 2 time constants. These graphic solutions are shown in Figure 12-37.
Related Answered Questions
The discharge time constant is RC =...
X_{C} = \frac{1}{2\pi fC} = \frac{1}{2\pi (...
First, determine the capacitive reactance.
...
The reactance of the individual capacitors and the...
Using the formula R=T/C
T=RC...
\tau = RC = (1.0 \times 10^{6}\Omega )(4.7 ...
The true power, P_{true}, is always...
The reactances of the individual capacitors are th...