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Q1. 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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Q2. 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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Q3. In a parallel RC circuit, what happens to the total current as the capacitor charges?
Solution:
As the capacitor charges, the current through the capacitor decreases, leading to a decrease in total current.
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Q4. 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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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. What is the voltage across the capacitor in an RC circuit after one time constant?
Solution:
After one time constant (τ), the voltage across the capacitor reaches approximately 63% of the applied voltage V.
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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. What is the final voltage across the capacitor in a charging RC circuit if the applied voltage is 12V?
Solution:
The final voltage across the capacitor in a charging RC circuit will equal the applied voltage, which is 12V.
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Q9. 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.
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Q10. 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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