Capacitor charge time calculation - time constants

The video tutorial explains the behavior of a capacitor in a series circuit with a resistor and switch. It covers the concept of time constants, showing how the capacitor charges and discharges over time, following an exponential curve. The tutorial provides calculations for time constants and voltage levels at different stages, illustrating how changes in resistance and capacitance affect the charging and discharging times. Example scenarios demonstrate these principles in practical applications.

What happens to the voltage across a capacitor when the switch is closed in a series circuit?

• It decreases linearly.

• It decreases exponentially.

• It remains constant.

• It increases exponentially.

How is the time constant of a circuit calculated?

• By adding the resistance and capacitance.

• By dividing the resistance by the capacitance.

• By multiplying the resistance by the capacitance.

• By subtracting the capacitance from the resistance.

If a resistor value is increased, what happens to the time constant?

• It decreases.

• It remains the same.

• It increases.

• It becomes zero.

At what percentage of the battery voltage is the capacitor charged after one time constant?

• 95%

• 63.2%

• 86.5%

• 36.8%

What is the voltage across the capacitor after 3 seconds in the given example?

• 7.78 volts

• 8.55 volts

• 8.94 volts

• 5.68 volts

What happens to the current in the circuit when the capacitor is fully charged?

• It fluctuates.

• It decreases to zero.

• It remains constant.

• It increases.

During the discharging process, what is the voltage across the capacitor after one time constant?

• 63.2%

• 36.8%

• 13.5%

• 5%