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Q1. In a series RC circuit, how does the total impedance (Z) relate to resistance (R) and reactance (Xc)?
Solution:
In a series RC circuit, the total impedance is given by Z = R + Xc, where Xc is the capacitive reactance.
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Q2. What happens to the current in an RC circuit as time approaches infinity after the switch is closed?
Solution:
As time approaches infinity after the switch is closed, the current in an RC circuit decreases to zero.
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Q3. If a capacitor has a capacitance of 2μF and is charged to 10V, what is the charge stored in the capacitor?
Solution:
The charge stored in the capacitor is given by Q = C*V = 2μF * 10V = 20μC.
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Q4. What is the effect of increasing the capacitance in an RC circuit on the time constant?
Solution:
Increasing the capacitance in an RC circuit increases the time constant τ = R*C, making the charging and discharging processes slower.
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Q5. What is the expression for the capacitive reactance (Xc) in terms of frequency (f) and capacitance (C)?
Solution:
The capacitive reactance is given by Xc = 1/(2πfC), where f is the frequency and C is the capacitance.
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Q6. In a discharging RC circuit, what is the expression for the voltage across the capacitor at time t?
Solution:
In a discharging RC circuit, the voltage across the capacitor at time t is given by V = V0*e^(-t/RC), where V0 is the initial voltage.
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Q7. What is the final voltage across a capacitor in a series RC circuit after a long time?
Solution:
The final voltage across a capacitor in a series RC circuit after a long time is V0, where V0 is the supply voltage.
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Q8. What is the electric potential (V) across a capacitor (C) charged to a charge (Q)?
Solution:
The electric potential across a capacitor is given by the formula V = Q/C, where Q is the charge and C is the capacitance.
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Q9. If a capacitor discharges through a resistor, what is the voltage across the capacitor after one time constant?
Solution:
After one time constant (τ), the voltage across the capacitor will be V0/e, where V0 is the initial voltage.
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Q10. What is the formula for the charge (Q) on a capacitor at time t during charging in an RC circuit?
Solution:
The charge on a capacitor during charging in an RC circuit is given by Q = C*V(1 - e^(-t/RC)).
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