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In an RC circuit, what happens to the current as time approaches infinity after

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

Options:

  1. It approaches zero.
  2. It approaches the maximum value V/R.
  3. It oscillates indefinitely.
  4. It becomes negative.

Correct Answer: It approaches the maximum value V/R.

Solution: 

As time approaches infinity, the capacitor becomes fully charged and the current approaches the maximum value V/R, where V is the voltage and R is the resistance.

In an RC circuit, what happens to the current as time approaches infinity after

Practice Questions

Q1
In an RC circuit, what happens to the current as time approaches infinity after the switch is closed?
  1. It approaches zero.
  2. It approaches the maximum value V/R.
  3. It oscillates indefinitely.
  4. It becomes negative.

Questions & Step-by-Step Solutions

In an RC circuit, what happens to the current as time approaches infinity after the switch is closed?
  • Step 1: Understand that an RC circuit consists of a resistor (R) and a capacitor (C) connected to a voltage source (V).
  • Step 2: When the switch in the circuit is closed, current starts to flow from the voltage source through the resistor and into the capacitor.
  • Step 3: Initially, the capacitor is uncharged, so the current is at its maximum value, which is calculated as V/R (voltage divided by resistance).
  • Step 4: As time passes, the capacitor begins to charge up, and the current starts to decrease.
  • Step 5: The charging process continues until the capacitor is fully charged, which means it has reached the same voltage as the source voltage (V).
  • Step 6: As the capacitor becomes fully charged, the current flowing in the circuit approaches zero.
  • Step 7: Therefore, as time approaches infinity, the current in the circuit approaches zero, not V/R.
  • Capacitor Charging in RC Circuits – As time progresses after closing the switch, the capacitor charges up to the supply voltage, causing the current to decrease over time until it reaches zero.
  • Steady State in RC Circuits – In the steady state (as time approaches infinity), the current in the circuit becomes zero because the capacitor is fully charged and acts as an open circuit.
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