Question: If the capacitance in an RC circuit is doubled, what happens to the time constant?
Options:
It remains the same.
It doubles.
It halves.
It quadruples.
Correct Answer: It doubles.
Solution:
Doubling the capacitance in an RC circuit will double the time constant Ï„ = R * C.
If the capacitance in an RC circuit is doubled, what happens to the time constan
Practice Questions
Q1
If the capacitance in an RC circuit is doubled, what happens to the time constant?
It remains the same.
It doubles.
It halves.
It quadruples.
Questions & Step-by-Step Solutions
If the capacitance in an RC circuit is doubled, what happens to the time constant?
Step 1: Understand what an RC circuit is. An RC circuit consists of a resistor (R) and a capacitor (C) connected together.
Step 2: Know what the time constant (Ï„) is. The time constant is a measure of how quickly the capacitor charges or discharges, and it is calculated using the formula Ï„ = R * C.
Step 3: Identify what happens when the capacitance (C) is doubled. If you double the capacitance, you replace C with 2C in the formula.
Step 4: Substitute the new capacitance into the time constant formula. The new time constant becomes Ï„ = R * (2C).
Step 5: Simplify the new time constant. This simplifies to Ï„ = 2 * (R * C), which means the time constant is now double the original time constant.
Step 6: Conclude that doubling the capacitance results in doubling the time constant.
Capacitance and Time Constant – The time constant (τ) in an RC circuit is defined as the product of resistance (R) and capacitance (C), τ = R * C. Doubling the capacitance directly affects the time constant.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
