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For a series R - C circuit excited by a dc voltage of 20 V, and with time-constant τ seconds, the voltage across the capacitor at time t = τ is given by
  • a)
    20 (1 - e1) volts
  • b)
    (20 - e-1) volts
  • c)
    20 (1 - e-1) volts
  • d)
    20 e-1 volts
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
For a series R - C circuit excited by a dc voltage of 20 V, and with t...
Vc(t) = V( 1 - e-t/τ) volts
V = 20 volt (given)
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Most Upvoted Answer
For a series R - C circuit excited by a dc voltage of 20 V, and with t...
The time constant (τ) for a series R-C circuit is given by the equation:

τ = R * C

where R is the resistance in ohms and C is the capacitance in farads.

Assuming the resistance R and capacitance C are known, we can calculate the time constant.

For example, let's say R = 100 ohms and C = 0.1 farads:

τ = 100 ohms * 0.1 farads
= 10 seconds

Therefore, the time constant for this series R-C circuit is 10 seconds.
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For a series R - C circuit excited by a dc voltage of 20 V, and with time-constant τ seconds, the voltage across the capacitor at time t =τ is given bya)20 (1 - e1) voltsb)(20 - e-1) voltsc)20 (1 - e-1) voltsd)20 e-1 voltsCorrect answer is option 'C'. Can you explain this answer?
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