Q1. In a series RC circuit, if the resistance is doubled, how does the time constant change?
Solution:
The time constant τ = R * C, so if R is doubled, τ also doubles.
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Q2. If the capacitance in an RC circuit is doubled, what happens to the time constant?
Solution:
Doubling the capacitance in an RC circuit will double the time constant τ = R * C.
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Q3. What is the time constant (τ) of an RC circuit?
Solution:
The time constant τ of an RC circuit is given by the product of resistance and capacitance, τ = R * C.
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Q4. What is the voltage across the capacitor after one time constant in an RC charging circuit?
Solution:
After one time constant, the voltage across the capacitor is V(1 - e^(-1)), where V is the applied voltage.
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Q5. What is the final charge (Q) on a capacitor in an RC circuit when a voltage (V) is applied?
Solution:
The final charge on a capacitor when a voltage V is applied is given by Q = CV, where C is the capacitance.
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Q6. In an RC circuit, what happens to the voltage across the capacitor as time approaches infinity after a switch is closed?
Solution:
As time approaches infinity, the capacitor charges to the supply voltage, so the voltage across it equals the supply voltage.
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Q7. If a resistor of 10 ohms and a capacitor of 100 microfarads are in series, what is the time constant of the circuit?
Solution:
The time constant τ = R * C = 10 ohms * 100 x 10^-6 F = 0.001 seconds or 1 millisecond.
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Q8. If a capacitor discharges through a resistor, what is the formula for the voltage across the capacitor at time t?
Solution:
The voltage across a discharging capacitor is given by V(t) = V0 * e^(-t/RC).
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Q9. In an RC circuit, what happens to the current as time approaches infinity after the switch is closed?
Solution:
As time approaches infinity, the capacitor becomes fully charged and the current approaches the maximum value V/R, where V is the voltage and R is the resistance.
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Q10. In a series RC circuit, if the resistance is doubled, what happens to the time constant?
Solution:
The time constant τ = R * C will double if the resistance R is doubled, assuming capacitance C remains constant.
