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Physics STPM Semester 2 Chapter Capacitor

Total questions: 20

Worksheet time: 14mins

Name
Class
Date
1.

The capacitance of a variable capacitor can be varied from 250 μ\mu F to 3750 μ\mu F. The capacitance of the capacitor is set at 2000 μ\mu F, and is connected to a power source of l2V. The power source is then removed. What is the maximum potential difference achieved if the capacitance of the capacitor is varied again?

a)

6.4V

b)

12 V

c)

23 V

d)

96 V

2.

Two identical capacitors, X and Y, which are connected in parallel to a battery are shown in the diagram above. When switch S is opened, the potential difference across X is V, the charge stored in Q and Y is uncharged. When switch S is closed, what is the potential difference across Y and the charge stored in Y?

a)
b)
c)
d)
3.

A capacitor of two parallel conducting plates which are separated by a piece of dielectric, is fully charged by a battery as shown in the diagram above. The capacitance of the capacitor will change if

a)

different dielectric is used

b)

the capacitor is not fully charged

c)

the battery of different voltage is used

d)

the conducting plates of different metals are used

4.

A capacitor consists of two parallel plates in which the distance between the plates can be adjusted. The capacitor is charged by connecting the capacitor to a battery, which is then removed.The potential diiference between the plates of the isolated capacitor can be increased by

a)

touching the two Plates

b)

bringing the two Plates closer

c)

separating the two plates further apart

d)

allowing the potential difference increasing by itself

5.

A parallel plate capacitor with dielectric is shown in the diagram above. The charges on the capacitor plates are +Q and -Q. Which statement is not true about the capacitor?

a)

The electric field within the dielectric is uniform.

b)

The electric field between the plates is dependent on the net surface charge density.

c)

The induced charges on the surface of the dielectric are equal in magnitude to the charges of the capacitor plates.

d)

The electric field due to the induced charges is in the opposite direction to the electric field due to the charges on the capacitor plates.

6.

A dielectric is inserted into an air-filled parallel plate capacitor of capacitance 20  μ\mu  F so that only half of the space between the plates is filled as shown in the diagram above. If the dielectric constant is 5.0, what is the final capacitance of the capacitor?

a)

8.3  μ\mu  F

b)

30  μ\mu  F

c)

60  μ\mu  F

d)

100  μ\mu   F

7.

A parallel-plate capacitor is initially charged by a battery and the battery is then disconnected. When the dielectric is removed from the charged capacitor,

a)

the charge stored in the capacitor increases

b)

the energy stored in the capacitor increases

c)

the potential difference between the plates decreases

d)

the electric field strength between the plates decreases

8.

A capacitor with an air gap between the plates is connected to a battery. The battery is then removed from the capacitor. A dielectric is then used to fill in the air gap between the plates. Which statement is true about the capacitor with the dielectric?

a)

The energy stored in the capacitor increases.

b)

The charge stored in the capacitor decreases.

c)

The potential difference across the plates of the capacitor decreases.

d)

The electric field strength between the plates of the capacitor increases

9.

Two capacitors which have the same capacitance can be connected in series or parallel. Which statement is true about the charge stored for the same d.c. voltage supply?

a)

The series connection stores an amount of charge twice that of the parallel connection.

b)

The parallel connection stores an amount of charge twice that of the series connection.

c)

The series connection stores an amount of charge four times that of the parallel connection.

d)

The parallel connection stores an amount of charge four times that of the series connection.

10.

A parallel plate capacitor is fully charged. When an insulator is inserted into the space between the plates of the capacitor, the energy stored in the capacitor decreases by 73.0 %. What is the value of the dielectric constant of the insulator?

a)

1.37

b)

1.88

c)

3.70

d)

13.7

11.

A parallel-plate capacitor with separation of plates d which is fully charged by a battery to charge  QoQ_o   is shown in the diagram above.

a)
b)
c)
d)
12.

The plates of an isolated charged capacitor are pulled further apart. Which statement is not true of the capacitor?

a)

The capacitance of the capacitor decreases.

b)

The energy stored in the capacitor increases.

c)

The charge on the capacitor remains constant.

d)

The potential difference across the capacitor remains constant.

13.

When a parallel plate capacitor is charged to a potential difference of 12.0 V, the charge on each plate is  2.16 ×1042.16\ \times10^{-4}   C. If the potential difference across the capacitor is 30.0 V, what is the energy stored in the capacitor? 

a)

 3.24×1033.24\times10^{-3}  J

b)

  6.48×1036.48\times10^{-3}   J 

c)

 8.10×1038.10\times10^{-3}   J 

d)

  1.62×1021.62\times10^{-2}   J

14.

Which graph shows the variation of energy stored, U, in the capacitor with a charge, Q, during the charging process?

a)
b)
c)
d)
15.

A capacitor is connected in series with a switch, a resistor of low resistance and a battery. Which graph represents the variation of the current I with time t during the charging process?

a)
b)
c)
d)
16.

The variation of current l with time r when a capacitor is discharging through a resistor in a circuit is shown in the graph above. What is the time constant of the circuit?

a)

6.0 s

b)

14 s

c)

20 s

d)

34 s

17.

The potential difference across a capacitor of 2200 μ\mu F decreases to 25 % from its initial value in time, T, when the capacitor is discharged through a resistor of 25 k Ω\Omega  . What is the value of T? 

a)

 14 s

b)

16 s

c)

 41 s

d)

76 s

18.

A battery of e.m.f. of 12 V is connected in series with a capacitor and a resistor as shown in the circuit above. What is the charge in the capacitor 10 ms after S is closed?

a)

330  μ\mu C

b)

210  μ\mu C

c)

76  μ\mu C

d)

44  μ\mu C

19.

A capacitor of capacitance 18  μ\mu F and a resistor of resistance of 1.0 M  Ω\Omega   are connected to a battery of e.m.f. 200 V as shown in the circuit above.  Initially, the switch is connected to P to fully charged the capacitor. Then the switch is connected to Q, to discharge the capacitor. What is the time taken for the charge in the capacitor to decrease to 37% of the initial value? 

a)

18 s

b)

12 s

c)

8.3 s

d)

6.7 s

20.

A capacitor of capacitance 20  μ\mu F is discharged through a resistor of resistance 4.0 M  Ω\Omega  . After 25 s, the charge on the capacitor is  2.9×1062.9\times10^{-6}  C. What ls the time elapsed when the charge on the capacitor is  1.9 ×1061.9\ \times10^{-6}  C.

a)

59 s

b)

53 s

c)

40 s

d)

38 s