In an RC circuit supplied with a d.c. voltage, what is the effect of increasing the value of the capacitor, while keeping the values of all other components the same?Select one:a.the time constant decreases because the capacitor holds more chargeb.the current takes longer to drop to zero because the capacitor holds more chargec.the current takes less time to drop to zero because the capacitor holds less charged.the time constant increases because the capacitor holds less chargee.there is no effect unless the value of the resistor is also changed
Question
In an RC circuit supplied with a d.c. voltage, what is the effect of increasing the value of the capacitor, while keeping the values of all other components the same?Select one:a.the time constant decreases because the capacitor holds more chargeb.the current takes longer to drop to zero because the capacitor holds more chargec.the current takes less time to drop to zero because the capacitor holds less charged.the time constant increases because the capacitor holds less chargee.there is no effect unless the value of the resistor is also changed
Solution
The correct answer is:
b. The current takes longer to drop to zero because the capacitor holds more charge
Explanation:
In an RC circuit, the time constant (τ) is given by the product of the resistance (R) and the capacitance (C), i.e., τ = RC. This time constant represents the time it takes for the charge/voltage in the capacitor to reach approximately 63.2% of its maximum value in a charging circuit, or to drop to 36.8% of its maximum value in a discharging circuit.
If the capacitance (C) is increased while keeping the resistance (R) constant, the time constant (
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