Q1. 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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Q2. 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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Q3. 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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Q4. 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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Q5. In an RC circuit, if the capacitor is fully charged, what is the current through the circuit?
Solution:
When the capacitor is fully charged, the current through the circuit is zero because the capacitor blocks any further current flow.
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Q6. 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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Q7. What is the final charge on a capacitor (Q) in an RC circuit after a long time if the voltage across it is 5V and the capacitance is 200 microfarads?
Solution:
The charge Q is given by Q = C * V = 200 x 10^-6 F * 5 V = 0.001 C.
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Q8. What is the voltage across a capacitor after one time constant in an RC charging circuit?
Solution:
After one time constant, the voltage across the capacitor reaches approximately 63.2% of the supply voltage.
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Q9. What is the formula for calculating the current (I) in an RC circuit after a time (t) when a voltage (V) is applied?
Solution:
The current in an RC circuit after a time t is given by I = V(1 - e^(-t/RC)), where V is the voltage, R is the resistance, and C is the capacitance.
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Q10. 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.
