**Question**: A resistor, a capacitor, and a power supply are connected in series. What is the current in the circuit after 2 time constants? **Options**: a) 0 b) 0.135 \(I_0\) c) 0.607 \(I_0\) d) \(I_0\) **Explanation**: The question involves an RC (resistor-capacitor) circuit. The time constant (\(\tau\)) is defined as \(\tau = RC\), and it represents the time required for the current to decrease to 1/e (approximately 36.8%) of its initial value. After 2 time constants, the current in an RC circuit discharging is typically reduced to approximately 13.5% of its initial value.
**Question**: A resistor, a capacitor, and a power supply are connected in series. What is the current in the circuit after 2 time constants? **Options**: a) 0 b) 0.135 \(I_0\) c) 0.607 \(I_0\) d) \(I_0\) **Explanation**: The question involves an RC (resistor-capacitor) circuit. The time constant (\(\tau\)) is defined as \(\tau = RC\), and it represents the time required for the current to decrease to 1/e (approximately 36.8%) of its initial value. After 2 time constants, the current in an RC circuit discharging is typically reduced to approximately 13.5% of its initial value.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:**Question**: A resistor, a capacitor, and a power supply are connected in series. What is the current in the circuit after 2 time constants?
**Options**:
a) 0
b) 0.135 \(I_0\)
c) 0.607 \(I_0\)
d) \(I_0\)
**Explanation**: The question involves an RC (resistor-capacitor) circuit. The time constant (\(\tau\)) is defined as \(\tau = RC\), and it represents the time required for the current to decrease to 1/e (approximately 36.8%) of its initial value. After 2 time constants, the current in an RC circuit discharging is typically reduced to approximately 13.5% of its initial value.
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