Question

A 10F supercapacitor is connected to a 3V battery through a 1kOhm resistor. How long would it take to fully charge a capacitor? How would the charging time change if the resistor is changed to 100 ohms?

Answer 1

To fully charge the capacitor, it would take approximately 2.78 hours with a 1kOhm resistor and approximately 16.7 minutes with a 100 Ohm resistor.

Step-by-step explanation:

To calculate the time it takes to fully charge a capacitor, we can use the formula t = RC, where t is the time, R is the resistance, and C is the capacitance. In this case, the capacitance is given as 10F and the resistance is 1kOhm. Plugging these values into the formula, we get t = 10F x 1kOhm = 10,000 seconds, or approximately 2.78 hours.

If the resistor is changed to 100 Ohms, we can use the same formula to calculate the new charging time. Plugging in the new resistance, we get t = 10F x 100 Ohms = 1,000 seconds, or approximately 16.7 minutes.