Q. According to Kirchhoff's Voltage Law, the sum of the voltages around a closed loop is equal to what?
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A.
Zero
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B.
The total current
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C.
The total resistance
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D.
The total power
Solution
Kirchhoff's Voltage Law states that the sum of the voltages around a closed loop is equal to zero.
Correct Answer:
A
— Zero
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Q. 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?
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A.
It remains constant
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B.
It decreases exponentially
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C.
It increases exponentially
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D.
It becomes zero instantly
Solution
When a capacitor is disconnected from the power source, the charge decreases exponentially over time due to leakage.
Correct Answer:
B
— It decreases exponentially
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Q. If two resistors, R1 and R2, are in series, what is the equivalent resistance (R_eq)?
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A.
R_eq = R1 + R2
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B.
R_eq = R1 * R2
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C.
R_eq = R1 / R2
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D.
R_eq = R1 - R2
Solution
The equivalent resistance of resistors in series is given by R_eq = R1 + R2.
Correct Answer:
A
— R_eq = R1 + R2
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Q. In a parallel RC circuit, what happens to the voltage across the capacitor as time approaches infinity?
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A.
It approaches zero
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B.
It approaches the supply voltage
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C.
It oscillates
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D.
It becomes negative
Solution
In a parallel RC circuit, as time approaches infinity, the voltage across the capacitor approaches the supply voltage.
Correct Answer:
B
— It approaches the supply voltage
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Q. In a series 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 = C / R
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D.
τ = R + C
Solution
The time constant τ in a series RC circuit is defined as τ = R * C, where R is resistance and C is capacitance.
Correct Answer:
A
— τ = R * C
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Q. In a transient response of an RC circuit, what is the behavior of the current as the capacitor charges?
-
A.
It remains constant
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B.
It decreases exponentially
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C.
It increases linearly
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D.
It oscillates
Solution
In the transient response of an RC circuit, the current decreases exponentially as the capacitor charges.
Correct Answer:
B
— It decreases exponentially
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Q. In an RC circuit, what is the relationship between the time constant (τ) and the cutoff frequency (f_c)?
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A.
f_c = 1 / (2πτ)
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B.
f_c = 2πτ
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C.
f_c = τ
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D.
f_c = 1 / τ
Solution
The cutoff frequency f_c is related to the time constant by the formula f_c = 1 / (2πτ).
Correct Answer:
A
— f_c = 1 / (2πτ)
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Q. What happens to the charge (Q) on a capacitor when it discharges through a resistor (R)?
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A.
Q decreases exponentially
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B.
Q remains constant
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C.
Q increases linearly
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D.
Q decreases linearly
Solution
The charge on a discharging capacitor decreases exponentially over time.
Correct Answer:
A
— Q decreases exponentially
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Q. What is the effect of increasing the resistance (R) in an RC charging circuit on the time constant (τ)?
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A.
τ increases
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B.
τ decreases
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C.
τ remains the same
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D.
τ becomes zero
Solution
Increasing the resistance in an RC circuit increases the time constant τ, since τ = R * C.
Correct Answer:
A
— τ increases
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Q. What is the equivalent resistance (R_eq) of two resistors (R1 and R2) in series?
-
A.
R_eq = R1 + R2
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B.
R_eq = R1 * R2
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C.
R_eq = R1 / R2
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D.
R_eq = R1 - R2
Solution
The equivalent resistance of two resistors in series is R_eq = R1 + R2.
Correct Answer:
A
— R_eq = R1 + R2
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Q. What is the expression for the total current (I) in a parallel circuit with two resistors (R1 and R2)?
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A.
I = I1 + I2
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B.
I = I1 * I2
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C.
I = I1 / I2
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D.
I = I1 - I2
Solution
In a parallel circuit, the total current is the sum of the currents through each resistor: I = I1 + I2.
Correct Answer:
A
— I = I1 + I2
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Q. What is the formula for the electric field (E) due to a point charge (Q) at a distance (r)?
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A.
E = k * Q / r^2
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B.
E = Q / (4 * π * ε * r^2)
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C.
E = Q / r^2
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D.
E = k * Q * r^2
Solution
The electric field due to a point charge is given by E = k * Q / r^2, where k is Coulomb's constant.
Correct Answer:
A
— E = k * Q / r^2
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Q. What is the potential difference (V) across a capacitor after it has been fully charged in an RC circuit?
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A.
V = 0
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B.
V = V0
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C.
V = R * I
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D.
V = C * I
Solution
After a capacitor is fully charged in an RC circuit, the potential difference across it is equal to the source voltage V = V0.
Correct Answer:
B
— V = V0
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Q. What is the voltage across a capacitor (V) after one time constant in an RC charging circuit?
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A.
V = V0(1 - e^(-t/τ))
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B.
V = V0 * e^(-t/τ)
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C.
V = V0(1 + e^(-t/τ))
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D.
V = V0 * t/τ
Solution
The voltage across a charging capacitor after one time constant is V = V0(1 - e^(-t/τ)).
Correct Answer:
A
— V = V0(1 - e^(-t/τ))
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