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Q1. What is the effect of increasing the resistance (R) in an RC charging circuit on the time constant (τ)?
Solution:
Increasing the resistance in an RC circuit increases the time constant τ, since τ = R * C.
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Q2. What is the equivalent resistance (R_eq) of two resistors (R1 and R2) in series?
Solution:
The equivalent resistance of two resistors in series is R_eq = R1 + R2.
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Q3. In a series RC circuit, what is the time constant (τ) defined as?
Solution:
The time constant τ in a series RC circuit is defined as τ = R * C, where R is resistance and C is capacitance.
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Q4. What happens to the charge (Q) on a capacitor when it discharges through a resistor (R)?
Solution:
The charge on a discharging capacitor decreases exponentially over time.
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Q5. What is the voltage across a capacitor (V) after one time constant in an RC charging circuit?
Solution:
The voltage across a charging capacitor after one time constant is V = V0(1 - e^(-t/τ)).
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Q6. In a transient response of an RC circuit, what is the behavior of the current as the capacitor charges?
Solution:
In the transient response of an RC circuit, the current decreases exponentially as the capacitor charges.
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Q7. If two resistors, R1 and R2, are in series, what is the equivalent resistance (R_eq)?
Solution:
The equivalent resistance of resistors in series is given by R_eq = R1 + R2.
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Q8. If a capacitor is charged to a voltage V and then disconnected from the power source, what happens to the charge on the capacitor over time?
Solution:
When a capacitor is disconnected from the power source, the charge decreases exponentially over time due to leakage.
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Q9. What is the expression for the total current (I) in a parallel circuit with two resistors (R1 and R2)?
Solution:
In a parallel circuit, the total current is the sum of the currents through each resistor: I = I1 + I2.
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Q10. According to Kirchhoff's Voltage Law, the sum of the voltages around a closed loop is equal to what?
Solution:
Kirchhoff's Voltage Law states that the sum of the voltages around a closed loop is equal to zero.
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