Question

a) A capacitor of 10 µF is connected to the power supply of 8 Volts through a resistance of 2 MΩ. If Vc denotes the potential difference across the capacitor, draw the graph between Vc vs t. Also indicate the value of Vc at t = 0 and t = 50 seconds and mark time constant on the time axis.

b) If a fully charged capacitor of C = 10μF discharges through the resistance of 0.2MΩ. Find the time when the voltage across the capacitor is 37 percent of the original voltage. Also, find the time when the charge across the capacitor will be 37 percent across the capacitor.

c) Given a capacitor with capacitance 10.0 ± 0.1 µF and a resistor with resistance 10.0 ± 0.2 MΩ. What is the time constant (including the uncertainty)?

Answer 1

The time constant with the uncertainty is

100.0 +/- 3.0 second