What is the meaning of the term “time...

Question 1 / 27070qONXsz8UogQnmaQ9XYAV

Question 1 of 27070qONXsz8UogQnmaQ9XYAV

What is the meaning of the term “time constant of an RC circuit”? The time required to charge the capacitor in the circuit to:

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Question 1 of 27070

What is the meaning of the term “time constant of an RC circuit”? The time required to charge the capacitor in the circuit to:

🔍 Key Concepts

• RC time constant (τ) in a resistor–capacitor circuit • Exponential charging formula: V(t) = Vsup · (1 − e^{−t/RC}) • Special case when t = τ = RC and how much the capacitor has charged as a percentage of supply voltage

💭 Think About

• Write the charging equation V(t) = Vsup · (1 − e^{−t/RC}) and substitute t = RC (i.e., t = τ). What does the expression simplify to? • Recall that e^{−1} is about 0.37. If the remaining uncharged portion is about 37%, what percentage has been charged? • Which answer choice is closest to 1 − e^{−1}, expressed as a percentage of the supply voltage?

✅ Before You Answer

• Be sure you are thinking about charging, not discharging, when you interpret the formula • Confirm that τ = R × C has units of seconds, and that at t = τ the exponent becomes −1 • Double-check which answer choice matches (1 − e^{−1}) × 100%, not e^{−1} × 100%

Question 1 of 27070

What is the meaning of the term “time constant of an RC circuit”? The time required to charge the capacitor in the circuit to:

23.7% of the supply voltage.

36.8% of the supply voltage.

57.3% of the supply voltage.

63 . 2 % of the supply voltage.