11. Which among the following expressions relates the charge, voltage, and capacitance of a capacitor?
A. Q = C/V
B. Q = V/C
C. Q = CV
D. C = Q2V
Answer: C
Q is directly proportional to V. The constant of proportionality, in this case, is C, that is, the capacitance.
Hence Q = CV.
12. If a 2F capacitor has a 1C charge, calculate the voltage across its terminals.
A. 0.5V
B. 2V
C. 1.5V
D. 1V
Answer: A
Q is directly proportional to V. The constant of proportionality, in this case, is C, that is, the capacitance.
Hence Q = CV
V = Q/C = 1/2 V = 0.5V.
13. What is the voltage across a capacitor at the time of switching, that is, when t = 0?
A. Infinity
B. 0V
C. Cannot be determined
D. 1V
Answer: B
At the time of switching, when t = 0, the capacitor acts as a short circuit. The voltage across a short is always equal to zero hence the voltage across the capacitor is equal to zero.
14. What is the voltage across the capacitor if the switch is closed and a steady state is reached?
A. 8V
B. 0V
C. 10V
D. Infinity
Answer: C
When a steady state is reached, the capacitor acts as an open circuit and the 10V is connected in parallel to it.
Hence Vc = 10V.
15. If one plate of a parallel plate capacitor is charged to a positive charge the other plate is charged to?
A. Positive
B. Negative
C. Positive or negative
D. Not charged
Answer: B
If one plate is charged to positive, the other plate is automatically charged to negative so that it can store the electrical charge.
16. When the voltage across a capacitor increases, what happens to the charge stored in it?
A. Increases
B. Decreases
C. Becomes zero
D. Cannot be determined
Answer: A
When the voltage across a capacitor increases, the charge stored in it also increases because a charge is directly proportional to voltage, capacitance being the constant of proportionality.
17. When will the capacitor fully charge?
A. When the voltage across its plates is half the voltage from the ground to one of its plates
B. When the current through the capacitor is a 1/root2 time its value
C. When the supply voltage is equal to the capacitor voltage
D. Never
Answer: C
When the capacitor voltage is equal to the supply voltage the current stops flowing through the circuit and the charging phase is over.
18. What happens to the current flow in a fully charged capacitor?
A. Current flow stops
B. Current flow doubles
C. Current flow becomes half its original value
D. Current flow becomes one-fourth of its original value
Answer: A
When a capacitor is fully charged, it does not store any more charge. There is no change in charge with time. Current is the rate of change of charge, hence it becomes zero, or stops.
19. Calculate the capacitance of a capacitor that stores 40µC of charge and has a voltage of 2V.
A. 20F
B. 20microF
C. 10F
D. 10microF
Answer: B
In a capacitor, Q is directly proportional to V.
The constant of proportionality, in this case, is C, that is, the capacitance.
Hence C = Q/V.
C = 40µC/2V = 20microF.
20. What happens to the capacitance when the voltage across the capacitor increases?
A. Decreases
B. Increases
C. Becomes 0
D. No effect
Answer: D
In a capacitor, Q is directly proportional to V. The constant of proportionality, in this case, is C, that is, the capacitance.
Capacitance is a constant so it will not change on changing voltage.