A 100 µF capacitor wired in series with an 8000 £2 resistor yields a time constant of______________?
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Answer: D. 0.8 s
Explanation
The time constant of a series resistor-capacitor circuit equals the mathematical product of resistance and capacitance. Multiplying eight thousand ohms by one hundred microfarads yields exactly zero point eight seconds. This calculated time constant determines how rapidly the capacitor charges through the series resistor. Time constant equations use ohms for resistance and farads for capacitance to yield seconds directly. One microfarad equals one millionth of a farad, requiring proper unit conversion during calculations. After one time constant, a charging capacitor reaches approximately sixty-three percent of its final voltage.
RC time constants are fundamental for designing timing circuits, delay networks, and wave shaping filters. Audio tone controls and oscillator frequencies depend heavily on accurate resistor-capacitor time calculations. Understanding time constants helps technicians troubleshoot slow response issues in electronic control systems. Option A suggests zero point two seconds, resulting from an arithmetic error in the resistance product. Option B suggests zero point four seconds, which underestimates the correct time constant calculation. Option C suggests zero point six seconds, which miscalculates the product of eight thousand and one hundred.
- Subject
- Engineering
- Category
- Electrical Engineering
- Topic
- —
- Difficulty
- medium
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