FCC Exam Question: 3-14B5

After two time constants, the capacitor in an RC circuit is charged to what percentage of the supply voltage?

A. 36.8 %
B. 63.2 %
C. 86.5 %
D. 95 %
Correct Answer: C

Explanation: The time constant (τ) in an RC circuit is a critical value determined by multiplying the resistance (R) by the capacitance (C). It represents the time it takes for a capacitor to charge or discharge a specific amount exponentially. When charging, the capacitor voltage increases over time: * After one time constant (1τ), the capacitor charges to approximately 63.2% of the supply voltage. * After two time constants (2τ), it charges further to approximately 86.5% of the supply voltage. * After three time constants (3τ), it reaches about 95% of the supply voltage. * By five time constants (5τ), it's considered fully charged (over 99%). Therefore, after two time constants, the capacitor is charged to 86.5% of the supply voltage. * A) 36.8% represents the remaining voltage after one time constant of discharge, not charge. * B) 63.2% is the charge after one time constant. * D) 95% is the charge after three time constants.

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Includes Elements 1, 3, 6, 7R, 8, and 9.