Q. During the transient response of an RC circuit, what is the behavior of the voltage across the capacitor?
-
A.
It increases linearly
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B.
It decreases exponentially
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C.
It increases exponentially
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D.
It remains constant
Solution
During the transient response of an RC circuit, the voltage across the capacitor increases exponentially until it reaches the supply voltage.
Correct Answer:
C
— It increases exponentially
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Q. If a capacitor discharges through a resistor, what is the voltage across the capacitor after one time constant?
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A.
V0/e
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B.
V0/2
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C.
V0
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D.
0
Solution
After one time constant (τ), the voltage across the capacitor will be V0/e, where V0 is the initial voltage.
Correct Answer:
A
— V0/e
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Q. If a capacitor has a capacitance of 2μF and is charged to 10V, what is the charge stored in the capacitor?
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A.
20μC
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B.
5μC
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C.
2μC
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D.
10μC
Solution
The charge stored in the capacitor is given by Q = C*V = 2μF * 10V = 20μC.
Correct Answer:
A
— 20μC
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Q. In a discharging RC circuit, what is the expression for the voltage across the capacitor at time t?
-
A.
V = V0*e^(-t/RC)
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B.
V = V0*(1 - e^(-t/RC))
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C.
V = V0*t
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D.
V = V0/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.
Correct Answer:
A
— V = V0*e^(-t/RC)
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Q. In a series RC circuit, how does the total impedance (Z) relate to resistance (R) and reactance (Xc)?
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A.
Z = R + Xc
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B.
Z = R - Xc
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C.
Z = R*Xc
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D.
Z = R/Xc
Solution
In a series RC circuit, the total impedance is given by Z = R + Xc, where Xc is the capacitive reactance.
Correct Answer:
A
— Z = R + Xc
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Q. In an RC circuit, what is the time constant (τ) defined as?
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A.
τ = R*C
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B.
τ = R+C
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C.
τ = R/C
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D.
τ = C/R
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.
Correct Answer:
A
— τ = R*C
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Q. What happens to the current in an RC circuit as time approaches infinity after the switch is closed?
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A.
Current increases indefinitely
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B.
Current decreases to zero
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C.
Current remains constant
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D.
Current oscillates
Solution
As time approaches infinity after the switch is closed, the current in an RC circuit decreases to zero.
Correct Answer:
B
— Current decreases to zero
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Q. What is the effect of increasing the capacitance in an RC circuit on the time constant?
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A.
Time constant decreases
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B.
Time constant increases
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C.
Time constant remains the same
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D.
Time constant becomes zero
Solution
Increasing the capacitance in an RC circuit increases the time constant τ = R*C, making the charging and discharging processes slower.
Correct Answer:
B
— Time constant increases
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Q. What is the electric potential (V) across a capacitor (C) charged to a charge (Q)?
-
A.
V = Q/C
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B.
V = C/Q
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C.
V = Q*C
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D.
V = C^2/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.
Correct Answer:
A
— V = Q/C
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Q. What is the expression for the capacitive reactance (Xc) in terms of frequency (f) and capacitance (C)?
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A.
Xc = 1/(2πfC)
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B.
Xc = 2πfC
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C.
Xc = 1/(fC)
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D.
Xc = 2πf/C
Solution
The capacitive reactance is given by Xc = 1/(2πfC), where f is the frequency and C is the capacitance.
Correct Answer:
A
— Xc = 1/(2πfC)
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Q. What is the final voltage across a capacitor after it has been fully charged in an RC circuit?
-
A.
0V
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B.
V0
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C.
V0/2
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D.
V0/e
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.
Correct Answer:
B
— V0
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Q. What is the final voltage across a capacitor in a series RC circuit after a long time?
-
A.
0V
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B.
V0
-
C.
V0/2
-
D.
V0/e
Solution
The final voltage across a capacitor in a series RC circuit after a long time is V0, where V0 is the supply voltage.
Correct Answer:
B
— V0
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Q. What is the formula for the charge (Q) on a capacitor at time t during charging in an RC circuit?
-
A.
Q = C*V(1 - e^(-t/RC))
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B.
Q = C*V*e^(-t/RC)
-
C.
Q = C*V*t
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D.
Q = C*V*t^2
Solution
The charge on a capacitor during charging in an RC circuit is given by Q = C*V(1 - e^(-t/RC)).
Correct Answer:
A
— Q = C*V(1 - e^(-t/RC))
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Q. What is the relationship between the charge (Q) and the voltage (V) across a capacitor?
-
A.
Q = V/R
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B.
Q = C*V
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C.
Q = V/C
-
D.
Q = R*V
Solution
The relationship between the charge and the voltage across a capacitor is given by Q = C*V, where C is the capacitance.
Correct Answer:
B
— Q = C*V
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