In a series RC circuit, if the resistance is doubled, what happens to the time c
Practice Questions
Q1
In a series RC circuit, if the resistance is doubled, what happens to the time constant?
It remains the same.
It doubles.
It halves.
It quadruples.
Questions & Step-by-Step Solutions
In a series RC circuit, if the resistance is doubled, what happens to the time constant?
Step 1: Understand what a time constant is. The time constant (τ) in an RC circuit is calculated using the formula τ = R * C, where R is resistance and C is capacitance.
Step 2: Identify the variables in the formula. In this case, R is the resistance and C is the capacitance.
Step 3: Note that the problem states the resistance R is doubled. This means if the original resistance is R, the new resistance will be 2R.
Step 4: Substitute the new resistance into the time constant formula. The new time constant will be τ = (2R) * C.
Step 5: Simplify the new time constant. This gives τ = 2 * (R * C), which means the new time constant is double the original time constant.
Step 6: Conclude that if the resistance is doubled, the time constant also doubles, assuming the capacitance remains constant.
