Q. If a capacitor discharges through a resistor, what is the formula for the voltage across the capacitor at time t?
A.
V(t) = V0 * e^(-t/RC)
B.
V(t) = V0 * (1 - e^(-t/RC))
C.
V(t) = V0 * t/RC
D.
V(t) = V0 * e^(t/RC)
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Solution
The voltage across a discharging capacitor is given by V(t) = V0 * e^(-t/RC).
Correct Answer:
A
— V(t) = V0 * e^(-t/RC)
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Q. If a resistor of 10 ohms and a capacitor of 100 microfarads are in series, what is the time constant of the circuit?
A.
0.001 seconds
B.
0.01 seconds
C.
1 second
D.
0.1 seconds
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Solution
The time constant τ = R * C = 10 ohms * 100 x 10^-6 F = 0.001 seconds or 1 millisecond.
Correct Answer:
B
— 0.01 seconds
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Q. If the capacitance in an RC circuit is doubled, what happens to the time constant?
A.
It remains the same.
B.
It doubles.
C.
It halves.
D.
It quadruples.
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Solution
Doubling the capacitance in an RC circuit will double the time constant τ = R * C.
Correct Answer:
B
— It doubles.
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Q. In a parallel RC circuit, what happens to the total current as the capacitor charges?
A.
It increases.
B.
It decreases.
C.
It remains constant.
D.
It oscillates.
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Solution
As the capacitor charges, the current through the capacitor decreases, leading to a decrease in total current.
Correct Answer:
B
— It decreases.
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Q. In a series RC circuit, if the resistance is doubled, how does the time constant change?
A.
It remains the same.
B.
It doubles.
C.
It halves.
D.
It quadruples.
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Solution
The time constant τ = R * C, so if R is doubled, τ also doubles.
Correct Answer:
B
— It doubles.
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Q. In a series RC circuit, if the resistance is doubled, what happens to the time constant?
A.
It remains the same.
B.
It doubles.
C.
It halves.
D.
It quadruples.
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Solution
The time constant τ = R * C will double if the resistance R is doubled, assuming capacitance C remains constant.
Correct Answer:
B
— It doubles.
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Q. In an RC circuit, if the capacitor is fully charged, what is the current through the circuit?
A.
Maximum current
B.
Zero current
C.
Current equals voltage
D.
Current equals resistance
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Solution
When the capacitor is fully charged, the current through the circuit is zero because the capacitor blocks any further current flow.
Correct Answer:
B
— Zero current
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Q. In an RC circuit, what happens to the current as time approaches infinity after the switch is closed?
A.
It approaches zero.
B.
It approaches the maximum value V/R.
C.
It oscillates indefinitely.
D.
It becomes negative.
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Solution
As time approaches infinity, the capacitor becomes fully charged and the current approaches the maximum value V/R, where V is the voltage and R is the resistance.
Correct Answer:
B
— It approaches the maximum value V/R.
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Q. In an RC circuit, what happens to the voltage across the capacitor as time approaches infinity after a switch is closed?
A.
It remains zero.
B.
It equals the supply voltage.
C.
It oscillates.
D.
It becomes negative.
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Solution
As time approaches infinity, the capacitor charges to the supply voltage, so the voltage across it equals the supply voltage.
Correct Answer:
B
— It equals the supply voltage.
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Q. What is the final charge (Q) on a capacitor in an RC circuit when a voltage (V) is applied?
A.
Q = CV
B.
Q = V/R
C.
Q = V^2/R
D.
Q = I * t
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Solution
The final charge on a capacitor when a voltage V is applied is given by Q = CV, where C is the capacitance.
Correct Answer:
A
— Q = CV
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Q. 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?
A.
0.001 C
B.
0.01 C
C.
0.0001 C
D.
0.1 C
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Solution
The charge Q is given by Q = C * V = 200 x 10^-6 F * 5 V = 0.001 C.
Correct Answer:
A
— 0.001 C
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Q. What is the final voltage across the capacitor in a charging RC circuit if the applied voltage is 12V?
A.
0V
B.
6V
C.
12V
D.
24V
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Solution
The final voltage across the capacitor in a charging RC circuit will equal the applied voltage, which is 12V.
Correct Answer:
C
— 12V
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Q. What is the formula for calculating the current (I) in an RC circuit after a time (t) when a voltage (V) is applied?
A.
I = V/R
B.
I = V(1 - e^(-t/RC))
C.
I = V/R * e^(-t/RC)
D.
I = V * e^(-t/RC)
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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.
Correct Answer:
B
— I = V(1 - e^(-t/RC))
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Q. What is the relationship between voltage, current, and resistance in an RC circuit according to Ohm's Law?
A.
V = I * R
B.
I = V * R
C.
R = V/I
D.
Both A and C
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Solution
According to Ohm's Law, the relationship is V = I * R and R = V/I, so both A and C are correct.
Correct Answer:
D
— Both A and C
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Q. What is the time constant (τ) in an RC circuit?
A.
τ = R + C
B.
τ = R * C
C.
τ = R/C
D.
τ = 1/(R*C)
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Solution
The time constant τ in an RC circuit is given by τ = R * C, where R is the resistance and C is the capacitance.
Correct Answer:
B
— τ = R * C
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Q. What is the time constant (τ) of an RC circuit?
A.
R * C
B.
R + C
C.
R / C
D.
1 / (R * C)
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Solution
The time constant τ of an RC circuit is given by the product of resistance and capacitance, τ = R * C.
Correct Answer:
A
— R * C
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Q. What is the voltage across a capacitor after one time constant in an RC charging circuit?
A.
63.2% of the supply voltage
B.
50% of the supply voltage
C.
100% of the supply voltage
D.
36.8% of the supply voltage
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Solution
After one time constant, the voltage across the capacitor reaches approximately 63.2% of the supply voltage.
Correct Answer:
A
— 63.2% of the supply voltage
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Q. What is the voltage across the capacitor after one time constant in an RC charging circuit?
A.
V(1 - e^(-1))
B.
V(1 + e^(-1))
C.
V/e
D.
V
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Solution
After one time constant, the voltage across the capacitor is V(1 - e^(-1)), where V is the applied voltage.
Correct Answer:
A
— V(1 - e^(-1))
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Q. What is the voltage across the capacitor in an RC circuit after one time constant?
A.
0.63V
B.
0.37V
C.
1.0V
D.
0.5V
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Solution
After one time constant (τ), the voltage across the capacitor reaches approximately 63% of the applied voltage V.
Correct Answer:
A
— 0.63V
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