In an RC circuit, what happens to the voltage across the capacitor as time appro

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Question: In an RC circuit, what happens to the voltage across the capacitor as time approaches infinity after a switch is closed?

Options:

Correct Answer: It equals the supply voltage.

Solution:

As time approaches infinity, the capacitor charges to the supply voltage, so the voltage across it equals the supply voltage.

In an RC circuit, what happens to the voltage across the capacitor as time approaches infinity after a switch is closed?

In an RC circuit, what happens to the voltage across the capacitor as time approaches infinity after a switch is closed?

Step 1: Understand that an RC circuit consists of a resistor (R) and a capacitor (C) connected to a power supply.
Step 2: When the switch in the circuit is closed, the capacitor starts charging.
Step 3: Initially, the voltage across the capacitor is 0 volts because it is uncharged.
Step 4: As time passes, the capacitor charges up and the voltage across it increases.
Step 5: The charging process slows down as the capacitor approaches its maximum voltage.
Step 6: Eventually, after a long time (approaching infinity), the capacitor will be fully charged.
Step 7: When fully charged, the voltage across the capacitor will equal the supply voltage.

Capacitor Charging in RC Circuits – As time progresses after closing the switch, the capacitor in an RC circuit charges up to the supply voltage, reaching a steady state.