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Q1. During the transient response of an RC circuit, what is the behavior of the voltage across the capacitor?
Solution:
During the transient response of an RC circuit, the voltage across the capacitor increases exponentially until it reaches the supply voltage.
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Q2. 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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Q3. What is the final voltage across a capacitor after it has been fully charged in an RC circuit?
Solution:
The final voltage across a capacitor after it has been fully charged in an RC circuit is V0, where V0 is the supply voltage.
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Q4. What is the relationship between the charge (Q) and the voltage (V) across a capacitor?
Solution:
The relationship between the charge and the voltage across a capacitor is given by Q = C*V, where C is the capacitance.
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Q5. 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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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. In an RC circuit, what is the time constant (τ) defined as?
Solution:
The time constant τ in an RC circuit is defined as τ = R*C, where R is the resistance and C is the capacitance.
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Q8. 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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Q9. 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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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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