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Chapter 16: Capacitor

Total questions: 55

Worksheet time: 2hrs 50mins

Name
Class
Date
1.

When 3 capacitors are arranged in series , the equivalent capacitance C is

a)

Ceq = C1 + C2 + C3

b)

1/Ceq = 1/C1 + 1/C2 + 1/C3

c)

Ceq = QV1 + QV2 + QV3

d)

Ceq = CR1 + CR2 + CR3

2.

When 3 capacitors are arranged in parallel , the equivalent capacitance is

a)

Ceq = C1 + C2 + C3

b)

Ceq = 1/C1 + 1/C2 + 1/C3

c)

C = QV1 + QV2 + QV3

d)

1/Ceq = 1/C1 + 1/C2 + 1/C3

3.

During charging a capacitor through a resistor

a)

the current in the circuit increases linearly with time

b)

the current in the circuit decreases linearly with time

c)

the current in the circuit increases exponentially with time

d)

the current in the circuit decreases exponentially with time

4.

During discharging a capacitor through a resistor

a)

the current in the circuit increases linearly with time

b)

the current in the circuit decreases linearly with time

c)

the current in the circuit increases exponentially with time

d)

the current in the circuit decreases exponentially with time

5.
------------------------ is created out of two metal plates and an insulating material called a dielectric.
a)
An inductor
b)
A capacitor
c)
A fixed resistor
d)
A variable resistor
6.

Which is the Q vs t graph for the charging process of a capacitor?

a)

a

b)

b

c)

neither

d)

both

7.

Capacitor stores _______________

a)

Charge

b)

Voltage

c)

Energy

d)

Money.. Lots of money

8.

Charge is measured in_________

a)

Coulombs

b)

Farads

c)

Hz

d)

Volts

9.

Capacitance is measured in___________

a)

Coulombs

b)

Farads

c)

Hz

d)

Volts

10.

In RC circuit, and when charging the capacitor, the time constant (τ) is the time needed for the charge of the capacitor to reach ----------- of its maximum charge.

a)

50%

b)

63%

c)

86%

d)

37%

11.
In the RC circuit, the time constant (τ) for the circuit is:
a)
τ = R × C
b)
τ = R / C
c)
τ = C × R
d)
τ = R2 × C
12.

In the RC discharging circuit, time constant (τ) is the time taken by the charge of the capacitor to reach ---------------- of the initial charge.

a)

63%

b)

37%

c)

50%

d)

67%

13.

Which graph best represents the current versus time in the circuit?

a)

A

b)

B

c)

C

d)

D

e)

E

14.

If capacitors are connected in parallel, then potential difference across each capacitor is

a)

same

b)

zero

c)

different

d)

infinite

15.
With respect to the capacitor, which relationship is true?
a)
C = Q/V
b)
V = C×Q
c)
Q = C/V
d)
Q = V/C
16.

What is the value of capacitance of a capacitor which has a voltage of 4V and has 16C of charge?

a)

2F

b)

4F

c)

6F

d)

8F

17.

The capacitance of 1 μF equals


a)

10 -12 F

b)

10-8 F

c)

10-6 F

d)

10-4 F

18.

When capacitors is arrange in series (3 capacitors), the equivalent capacitance C is

a)

C = C1 + C2 + C3

b)

1/C = 1/C1 + 1/C2 + 1/C3

c)

C = QV1 + QV2 + QV3

d)

C = CR1 + CR2 + CR3

19.

The figure represents:

a)

Capacitor

b)

Diode

c)

Inductor

d)

Resistor

20.

When capacitors in parallel (3 capacitors), the equivalent capacitance is

a)

C = C1 + C2 + C3

b)

C = 1/C1 + 1/C2 + 1/C3

c)

C = QV1 + QV2 + QV3

d)

C = QV1 + QV2 + QV3

21.

A capacitor consists of

a)

Two insulators separated by a conductor

b)

Two conductors separated by an insulator

c)

Two insulators only

d)

Two conductors only

22.

The capacitance C is charged through a resistor R. The time constant of the charging circuit is given by

a)

C/R

b)

1/RC

c)

RC

d)

R/C

23.

What is the value of capacitance of a capacitor which has a voltage of 4V and has 16C of charge?

a)

2F

b)

4F

c)

6F

d)

8F

24.

Capacitors charge and discharge in __________ manner.

a)

Linear

b)

Constant

c)

Square

d)

Exponential

25.

Which of the following depends on charging and discharging rate of a capacitor?

a)

Time constant

b)

Current

c)

Power

d)

Voltage

26.

When will be capacitors fully charged

a)

When voltage is zero

b)

When the supply voltage is equal to the capacitor voltage

c)

When voltage is infinity

d)

When capacitor voltage is equal to half the supply voltage

27.

Which of the following graphs best shows the potential difference across a capacitor discharging through a resistor?

a)

A

b)

B

c)

C

d)

D

28.

Which of the following graphs best shows the potential difference across a capacitor charging through a resistor?

a)

A

b)

B

c)

C

d)

D

29.

Which of the following is symbol of capacitor ?

a)
b)
c)
d)
30.
What is the symbol for dielectric permeativity.
a)
ε
b)
εr
c)
ε0
d)
εrε0
31.
The symbol for the relative permittivity is:
a)
 εr
b)
ε0
c)
εs
d)
εv
32.

εr ,ε, ε0 are related to each other according to the following equation:

a)

εr = ε / ε0

b)

εr = ε0 / ε

c)

εr = ε × ε0

d)

ε0 = εr / ε

33.

As you charge up a capacitor, what happens to the current through it

a)

Increases

b)

Decreases

c)

Stays the same

d)

Fluctuates

34.

What happens to the charge in a capacitor during the discharging process?

a)

Increases over time

b)

Decreases over time

c)

Remains the same

d)

I dont know

35.

The energy stored in the capacitor can be find by using this equation EXCEPT

a)


12QV\frac{1}{2}QV

b)

12Q2C\frac{1}{2}\frac{Q^2}{C}

c)

12CV2\frac{1}{2}CV2

d)

12RC2\frac{1}{2}RC^2

36.

 τ=RC\tau=RC  

a)

resistance constant

b)

capacitance constant

c)

circuit constant

d)

time constant

37.

Time to charge a capacitor to 63%, or discharge to 37% 

a)

 τ\tau  

b)

 2τ2\tau  

c)

 3τ3\tau  

d)

 4τ4\tau  

e)

 5τ5\tau  

38.

Equation to calculate the charge in a discharging capacitor

a)

 Q=Q0e−tRCQ=Q_0e^{-\frac{t}{RC}}  

b)

 V=V0e−tRCV=V_0e^{-\frac{t}{RC}}  

c)

 Q=Q0(1−e−tRC)Q=Q_0\left(1-e^{-\frac{t}{RC}}\right)  

d)

 V=V0(1−e−tRC)V=V_0\left(1-e^{-\frac{t}{RC}}\right)  

39.

Equation to calculate the voltage across a charging capacitor

a)

 Q=Q0e−tRCQ=Q_0e^{-\frac{t}{RC}}  

b)

 V=V0e−tRCV=V_0e^{-\frac{t}{RC}}  

c)

 Q=Q0(1−e−tRC)Q=Q_0\left(1-e^{-\frac{t}{RC}}\right)  

d)

 V=V0(1−e−tRC)V=V_0\left(1-e^{-\frac{t}{RC}}\right)  

40.
a)

Area = energy

b)

Area = capacitance

c)

Area = resistance

d)

Gradient = current

41.

Which are correct? (can be more than 1)

a)

W=12QVW=\frac{1}{2}QV

b)

W=12⋅Q2CW=\frac{1}{2}\cdot\frac{Q^2}{C}

c)

W=12⋅V2QW=\frac{1}{2}\cdot\frac{V^2}{Q}

d)

W=12CV2W=\frac{1}{2}CV^2

42.

Discharging capacitor (can be more than 1)

a)
b)
c)
d)
43.

Charging capacitor (can be more than 1)

a)
b)
c)
d)
44.

How is the capacitance of a parallel-plate capacitor affected by the distance between the plates ?

a)

C is directly proportional to the area A of each plate

b)

C is inversely proportional to the distance d between the plates

c)

C is partially proportional to the area A of each plate

d)

C is not affected by the area A of each plate

45.

How is the capacitance of a parallel-plate capacitor affected by the area of each plate?

a)

C is directly proportional to the area A of each plate

b)

C is inversely proportional to the area A of each plate

c)

C is partially proportional to the area A of each plate

d)

C is fully proportional to the area A of each plate

46.

How is the capacitance of a parallel-plate capacitor affected by the potential difference across the capacitor ?

a)

C depend on the potential difference across the capacitor

b)

C does not depend on the potential difference across the capacitor

c)

C partially depend on the potential difference across the capacitor

d)

C sometime depend on the potential difference across the capacitor

47.

How is the capacitance (C) of a parallel-plate capacitor affected by the charge on the plates ?

a)

C depend on the charge on the plates

b)

C is vanished when there are plates

c)

C does not depend on the charge on the plates

d)

C is accumulated on one side only

48.
What is the formula for capacitance in air?
a)
C=
εA/d
b)
C=Q/V
c)
C=
ε0d/A
d)
C=
εoA/d
49.
The capacitance of a parallel-plate capacitor can be increased by: 
a)
increasing the charge 
b)
decreasing the charge 
c)
increasing the plate separation
d)
decreasing the plate separation 
50.
If C is the capacitance in Farads, ϵ permittivity of the dielectric, A area of plate overlap in square meters and d distance between plates in meters, then:
a)
C = ϵd/A 
b)
C = A/ϵd
c)
C = ϵA/d
d)
C = d/ϵA
51.

Two parallel-plate capacitor are identical in every respect except that one has twice the plate area of the other. If the smaller capacitor as capacitance C, the larger one has capacitance

a)

C/2

b)

C

c)

2C

d)

4C

52.

A parallel -plate capacitor has a capacitance of C. If the area of the plates is doubled and the distance between the plates is halved, what is the new capacitance?

a)

C/4

b)

C/2

c)

2C

d)

4C

53.

Which one of the following statement will necessarily increase the capacitance of a capacitor?

a)

Decreasing the charge on the plates

b)

Increasing the charge on the plate

c)

Placing dielectric between the plates

d)

Increasing the potential difference between the plates

54.

What is the capacitance of a parallel plate capacitor if the separation between the plate increased three times greater than the original separation

a)

Decrease 1/3 of the original

b)

Increase 3 times of the original

c)

Increase nine times the original

d)

Decrease 1/9 of the original

55.

Charge Q on a capacitor varies with voltage V . The area of triangle OAB represents

a)

Capacitance

b)

Capacitive reactance

c)

Magnetic field between the plates

d)

Energy stored in the capacitor

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