Question

Two students measure the time constant of an RC circuit. The first student charges the capacitor using a 12 V battery, then lets the capacitor discharge the resistor. The second student repeats the experiment using a 5 V battery. Which student measures the longer time constant

Answer 1

Answer: Two students measure the time constant of an RC circuit. The first student charges the capacitor using a 12 V battery, then lets the capacitor discharge the resistor. The second student repeats the experiment using a 5 V battery. The student who charged the capacitor using 5V will measures the longer time constant.

Explanation: To find the correct answer, we need to know about the time constant of RC circuit.

What is the time constant of the RC circuit?

• The time constant of a RC circuit can be defined as, the time taken by the charge in the capacitor to grow or decay.
• It can be expressed as,

                             $T=CR$

How to solve the problem?

• We have T=CR, and we know that,

                             $C=Q/V$

• Thus, the lesser voltage will have more C.
• when C increases, CR will increase.

Thus, we can conclude that, the lesser voltage source will take longer time constant.

Learn more about the time constant of RC circuit here:

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