MCQ 1011 Mark
Three positive charges of equal value q are placed at the vertices of an equilateral triangle. The resulting lines of force should be sketched as in
- A
- B
- ✓
- D
Answer
View full question & answer→Correct option: C.
(c)
Questions · Page 3 of 14
M.C.Q (1 Marks)
MCQ 1021 Mark
Two capacitors A and B are connected in series with a battery as shown in the figure. When the switch S is closed and the two capacitors get charged fully, then
- AThe potential difference across the plates of A is 4V and across the plates of B is 6V
- ✓The potential difference across the plates of A is 6V and across the plates of B is 4V
- CThe ratio of electrical energies stored in A and B is 2 : 3
- DThe ratio of charges on A and B is 3 : 2
Answer
View full question & answer→Correct option: B.
The potential difference across the plates of A is 6V and across the plates of B is 4V
(b) The potential difference across the plates of A is 6V and across the plates of B is 4V
MCQ 1031 Mark
Two capacitors of capacitance 2 μF and 3μF are joined in series. Outer plate first capacitor is at 1000 volt and outer plate of second capacitor is earthed (grounded). Now the potential on inner plate of each capacitor will be
- A700 Volt
- B200 Volt
- C600 Volt
- ✓400 Volt
Answer
View full question & answer→Correct option: D.
400 Volt
400 Volt
MCQ 1041 Mark
A series combination of three capacitors of capacities 1μF, 2 μF and 8 μF is connected to a battery of e.m.f. 13 volt. The potential difference across the plates of 2 μF capacitor will be
- A1 V
- B8V
- ✓4V
- D$\frac{13}{3} V$
Answer
View full question & answer→Correct option: C.
4V
(c) 4V
MCQ 1051 Mark
A capacitor of capacity $C_1$ is charged upto V volt and then connected to an uncharged capacitor of capacity $C_2$. Then final potential difference across each will be
- A$\frac{C_2 V}{C_1+C_2}$
- B$\left(1+\frac{C_2}{C_1}\right) V$
- ✓$\frac{C_1 V}{C_1+C_2}$
- D$\left(1-\frac{C_2}{C_1}\right) V$
Answer
View full question & answer→Correct option: C.
$\frac{C_1 V}{C_1+C_2}$
(c) $\frac{C_1 V}{C_1+C_2}$
MCQ 1061 Mark
Three capacitors each of capacity 4μF are to be connected in such a way that the effective capacitance is 6 μF. This can be done by
- AConnecting them in parallel
- ✓Connecting two in series and one in parallel
- CConnecting two in parallel and one in series
- DConnecting all of them in series
Answer
View full question & answer→Correct option: B.
Connecting two in series and one in parallel
Connecting two in series and one in parallel
MCQ 1071 Mark
In the figure shown, the effective capacitance between the points A and B, if each has capacitance C, is
- ✓2C
- B$\frac{C}{3}$
- C5C
- D$\frac{C}{2}$
Answer
View full question & answer→Correct option: A.
2C
(a) 2C
MCQ 1081 Mark
Four equal capacitors, each of capacity C, are arranged as shown. The effective capacitance between A and B is
- A$\frac{5}{8}F$
- B$\frac{3}{5}C$
- ✓$\frac{5}{3}C$
- D$C$
Answer
View full question & answer→Correct option: C.
$\frac{5}{3}C$
(c) $\frac{5}{3}C$
MCQ 1091 Mark
In the circuit as shown in the figure the effective capacitance between A and B is
- A3 μF
- B2 μF
- ✓4 μF
- D8 μF
Answer
View full question & answer→Correct option: C.
4 μF
(c) 4 μF
MCQ 1101 Mark
The charge on any one of the 2 μF capacitors and 1 μF capacitor will be given respectively (in μC ) as
- A1, 2
- B2, 1
- C1, 1
- ✓2, 2
Answer
View full question & answer→Correct option: D.
2, 2
(d) 2, 2
MCQ 1111 Mark
Two capacitors of 1mF and 2mF are connected in series, the resultant capacitance will be
- A4μF
- ✓$\frac{2}{3}\mu F$
- C$\frac{3}{2}\mu F$
- D3 μF
Answer
View full question & answer→Correct option: B.
$\frac{2}{3}\mu F$
(b) $\frac{2}{3}\mu F$
MCQ 1121 Mark
A capacitor of 10mF charged up to 250 volts is connected in parallel with another capacitor of 5mF charged up to 100 volts. The common potential is
- A500 V
- B400 V
- C300 V
- ✓200 V
Answer
View full question & answer→Correct option: D.
200 V
200 V
MCQ 1131 Mark
Two capacitors of capacitances 3 μF and 6 μF are charged to a potential of 12 V each. They are now connected to each other, with the positive plate of each joined to the negative plate of the other. The potential difference across each will be
- A6 volt
- ✓4 volt
- C3 volt
- DZero
Answer
View full question & answer→Correct option: B.
4 volt
4 volt
MCQ 1141 Mark
Three capacitors of 2μF, 3μF and 6μF are joined in series and the combination is charged by means of a 24 volt battery. The potential difference between the plates of the 6 μF capacitor is
- ✓4 volt
- B6 volt
- C8 volt
- D10 volt
Answer
View full question & answer→Correct option: A.
4 volt
4 volt
MCQ 1151 Mark
Two capacitors $\mathrm{C}_1$ and $\mathrm{C}_2=2 \mathrm{C}_1$ are connected in a circuit with a switch between them as shown in the figure. Initially the switch is open and $\mathrm{C}_1$ holds charge Q. The switch is closed. At steady state, the charge on each capacitor will be
- AQ, 2Q
- ✓Q/3, 2Q/3
- C3Q/2, 3Q
- D2Q/3, 4Q/3
Answer
View full question & answer→Correct option: B.
Q/3, 2Q/3
(b) Q/3, 2Q/3
MCQ 1161 Mark
The equivalent capacitance in the circuit between A and B will be
(a) (b) (c) (d)
(a) (b) (c) (d)- A1 μF
- B2 μF
- ✓3 μF
- D$\frac{1}{3}\mu F$
Answer
View full question & answer→Correct option: C.
3 μF
(c) 3 μF
MCQ 1171 Mark
A parallel plate capacitor has capacitance C. If it is equally filled with parallel layers of materials of dielectric constants $\mathrm{K}_1$ and $\mathrm{K}_2$ its capacity becomes $C_1$. The ratio of $C_1$ to $C$ is
- A$K_1+K_2$
- B$\frac{K_1+K_2}{K_1-K_2}$
- C$\frac{K_1+K_2}{K_1K_2}$
- ✓$\frac{2K_1K_2}{K_1+K_2}$
Answer
View full question & answer→Correct option: D.
$\frac{2K_1K_2}{K_1+K_2}$
(d) $\frac{2K_1K_2}{K_1+K_2}$
MCQ 1181 Mark
A 20F capacitor is charged to 5V and isolated. It is then connected in parallel with an uncharged 30F capacitor. The decrease in the energy of the system will be
- A25 J
- B200 J
- C125 J
- ✓150 J
Answer
View full question & answer→Correct option: D.
150 J
150 J
MCQ 1191 Mark
Two capacitors ${C}_1=2 \mu{F}$ and ${C}_6=2 \mu{F}$ in series, are connected in parallel to a third capacitor${C}_3=4 \mu{F}$. This arrangement is then connected to a battery of e.m.f. = 2V, as shown in the figure. How much energy is lost by the battery in charging the capacitors
- A${22}\times{10^{-6}}J$
- ✓${11}\times{10^{-6}}J$
- C$\left(\frac{32}{3}\right) \times 10^{-6} J$
- D$\left(\frac{16}{3}\right) \times 10^{-6}J$
Answer
View full question & answer→Correct option: B.
${11}\times{10^{-6}}J$
(b) ${11}\times{10^{-6}}J$
MCQ 1201 Mark
Consider a parallel plate capacitor of 10 μF (micro-farad) with air filled in the gap between the plates. Now one half of the space between the plates is filled with a dielectric of dielectric constant 4, as shown in the figure. The capacity of the capacitor changes to
- ✓25 μF
- B20 μF
- C40 μF
- D5 μF
Answer
View full question & answer→Correct option: A.
25 μF
(a) 25 μF
MCQ 1211 Mark
Three capacitors of capacitance 3 μF , 10 μF and 15 μF are connected in series to a voltage source of 100V. The charge on 15 μF is
- A50 μC
- B100 μC
- ✓200 μC
- D280 μC
Answer
View full question & answer→Correct option: C.
200 μC
200 μC
MCQ 1221 Mark
In the figure a capacitor is filled with dielectrics. The resultant capacitance is
- A$\frac{2 \varepsilon_0 \mathrm{~A}}{\mathrm{~d}}\left[\frac{1}{\mathrm{k}_1}+\frac{1}{\mathrm{k}_2}+\frac{1}{\mathrm{k}_2}\right]$
- B$\frac{z_0 \mathrm{~A}}{\mathrm{~d}}\left[\frac{1}{\mathrm{k}_1}+\frac{1}{\mathrm{k}_2}+\frac{1}{\mathrm{k}_2}\right]$
- C$\left.\frac{2 \varepsilon_0 \mathrm{~A}}{\mathrm{~d}} \mathrm{k}_1+\mathrm{k}_2+\mathrm{k}_3\right]$
- ✓None of these
Answer
View full question & answer→Correct option: D.
None of these
(d) None of these
MCQ 1231 Mark
Two capacitors of 10 μF and 20 μF are connected in series with a 30V battery. The charge on the capacitors will be, respectively
- A100 μC, 200 μC
- B200 μC, 100 μC
- C100 μC, 100 μC
- ✓200 μC, 200 μC
Answer
View full question & answer→Correct option: D.
200 μC, 200 μC
200 μC, 200 μC
MCQ 1241 Mark
Equivalent capacitance between A and B is
- ✓8 μC
- B6 μF
- C26 μF
- D10/3 μF
Answer
View full question & answer→Correct option: A.
8 μC
(a) 8 μC
MCQ 1251 Mark
The effective capacitance between the points P and Q of the arrangement shown in the figure is
- A$\frac{1}{2}\mu F$
- ✓$1\mu F$
- C$2\mu F$
- D$1.33\mu F$
Answer
View full question & answer→Correct option: B.
$1\mu F$
(b) $1\mu F$
MCQ 1261 Mark
In the circuit shown here $C_1=6\mu F,C_2=3\mu F$ and battery B = 20V. The switch $S_1$ is first closed. It is then opened and afterwards $S_2$ is closed. What is the charge finally on $C_2$
- A120 μC
- B80 μC
- ✓40 μC
- D20 μC
Answer
View full question & answer→Correct option: C.
40 μC
(c) 40 μC
MCQ 1271 Mark
A parallel plate capacitor of area A, plate separation d and capacitance C is filled with three different dielectric materials having dielectric constants $k_1,k_2$ and $k_3$ as shown. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by
- A$\frac{1}{k}=\frac{1}{k_1}+\frac{1}{k_2}+\frac{1}{2k_3}$
- ✓$\frac{1}{k}=\frac{1}{k_1+k_2}+\frac{1}{2k_3}$
- C$k=\frac{k_1k_2}{k_1+k_2}+2k_3$
- D$k=k_1+k_2+2k_3$
Answer
View full question & answer→Correct option: B.
$\frac{1}{k}=\frac{1}{k_1+k_2}+\frac{1}{2k_3}$
(b) $\frac{1}{k}=\frac{1}{k_1+k_2}+\frac{1}{2k_3}$
MCQ 1281 Mark
In the circuit here, the steady state voltage across capacitor C is a fraction of the battery e.m.f. The fraction is decided by
- A$R_1$ only
- ✓$R_1$ and $R_2$ only
- C$R_1$ and $R_2$
- D$R_1,R_2$ and $R_3$
Answer
View full question & answer→Correct option: B.
$R_1$ and $R_2$ only
(b) $R_1$ and $R_2$ only
MCQ 1291 Mark
Ten capacitor are joined in parallel and charged with a battery up to a potential V. They are then disconnected from battery and joined again in series then the potential of this combination will be
- AV
- ✓10V
- C5V
- D2V
Answer
View full question & answer→Correct option: B.
10V
10V
MCQ 1301 Mark
A potential difference of 300 volts is applied to a combination of 2.0mF and 8.0mF capacitors connected in series. The charge on the 2.0mF capacitor is
- A$2.4\times{10^{-4}}C$
- ✓$4.8\times{10^{-4}}C$
- C$7.2\times{10^{-4}}C$
- D$9.6\times{10^{-4}}C$
Answer
View full question & answer→Correct option: B.
$4.8\times{10^{-4}}C$
(b) $4.8\times{10^{-4}}C$
MCQ 1311 Mark
What is the effective capacitance between A and B in the following figure
- A1 μF
- ✓2 μF
- C1.5 μF
- D2.5 μF
Answer
View full question & answer→Correct option: B.
2 μF
(b) 2 μF
MCQ 1321 Mark
When two identical capacitors are in series have 3mF capacitance and when parallel 12mF. What is the capacitance of each
- ✓6 μF
- B3 μF
- C12 μF
- D9 μF
Answer
View full question & answer→Correct option: A.
6 μF
6 μF
MCQ 1331 Mark
In the circuit shown in figure, each capacitor has a capacity of 3μF. The equivalent capacity between A and B is
- A$\frac{3}{4}\mu F$
- B3$\mu F$
- C6$\mu F$
- ✓5$\mu F$
Answer
View full question & answer→Correct option: D.
5$\mu F$
(d) 5$\mu F$
MCQ 1341 Mark
The equivalent capacitance of three capacitors of capacitance $C_1,C_2$ and $C_3$ are connected in parallel is 12 units and product $C_1 \cdot C_2 \cdot C_3=48$. When the capacitors $C_1$ and $C_2$ are connected in parallel, the equivalent capacitance is 6 units. Then the capacitance are
- A2, 3, 7
- B1.5, 2.5, 8
- C1, 5, 6
- ✓4, 2, 6
Answer
View full question & answer→Correct option: D.
4, 2, 6
(d) 4, 2, 6
MCQ 1351 Mark
The capacitance between the points A and B in the given circuit will be
- ✓1 μF
- B2 μF
- C3 μF
- D4 μF
Answer
View full question & answer→Correct option: A.
1 μF
(a) 1 μF
MCQ 1361 Mark
The equivalent capacitance between A and B is
- A2 μF
- B3 μF
- C5 μF
- ✓0.5 μF
Answer
View full question & answer→Correct option: D.
0.5 μF
(d) 0.5 μF
MCQ 1371 Mark
In the given network capacitance, $C_1=10\mu F, C_2 = 5\mu F$ and $C_=4\mu F$. What is the resultant capacitance between A and B
- A2.2 μF
- ✓3.2 μF
- C1.2 μF
- D4.7 μF
Answer
View full question & answer→Correct option: B.
3.2 μF
(b) 3.2 μF
MCQ 1381 Mark
A capacitor of 20 μF is charged to 500 volts and connected in parallel with another capacitor of 10 μF and charged to 200 volts. The common potential is
- A200 volts
- B300 volts
- ✓400 volts
- D500 volts
Answer
View full question & answer→Correct option: C.
400 volts
400 volts
MCQ 1391 Mark
In the given figure the capacitors $C_1,C_3,C_4,C_5$ have a capacitance 4mF each if the capacitor $C_2$ has a capacitance 10mF, then effective capacitance between A and B will be
- A2mF
- ✓4mF
- C6mF
- D8mF
Answer
View full question & answer→Correct option: B.
4mF
(b) 4mF
MCQ 1401 Mark
Three plates A, B, C each of area $50\ cm^2$ have separation 3mm between A and B and 3mm between B and C The energy stored when the plates are fully charged is
- A$1.6\times 10^{-9} J$
- ✓$2.1\times 10^{-9} J$
- C$5\times 10^{-9} J$
- D$7\times 10^{-9} J$
Answer
View full question & answer→Correct option: B.
$2.1\times 10^{-9} J$
$2.1\times 10^{-9} J$
MCQ 1411 Mark
The resultant capacitance of given circuit is
- ✓3C
- B2C
- CC
- D$\frac{c}{3}$
Answer
View full question & answer→Correct option: A.
3C
(a) 3C
MCQ 1421 Mark
The charge on a capacitor of capacitance 10 μF connected as shown in the figure is
- ✓20 μC
- B15 μC
- C10 μC
- DZero
Answer
View full question & answer→Correct option: A.
20 μC
(a) 20 μC
MCQ 1431 Mark
The combined capacity of the parallel combination of two capacitors is four times their combined capacity when connected in series. This means that
- ✓Their capacities are equal
- BTheir capacities are 1 μF and 2 μF
- CTheir capacities are 0.5 μF and 1 μF
- DTheir capacities are infinite
Answer
View full question & answer→Correct option: A.
Their capacities are equal
Their capacities are equal
MCQ 1441 Mark
The combination of capacitors with $C_1=3\mu F, C_2=4\mu F$ and $C_3=2\mu F$ is charged by connecting AB to a battery. Consider the following statements
I. Energy stored in $C_1$ = Energy stored in $C_2$ + Energy stored in $C_3$
II. Charge on $C_1$ = Charge on $C_2$ + Charge on $C_3$
III. Potential drop across $C_1$ = Potential drop across $C_2$ = Potential drop across $C_3$
Which of these is/are correct
I. Energy stored in $C_1$ = Energy stored in $C_2$ + Energy stored in $C_3$
II. Charge on $C_1$ = Charge on $C_2$ + Charge on $C_3$
III. Potential drop across $C_1$ = Potential drop across $C_2$ = Potential drop across $C_3$
Which of these is/are correct
- AI and II
- ✓II only
- CI and III
- DIII only
Answer
View full question & answer→Correct option: B.
II only
(b) II only
MCQ 1451 Mark
What is the effective capacitance between points X and Y
- A24 μF
- B18 μF
- C12 μF
- ✓6 μF
Answer
View full question & answer→Correct option: D.
6 μF
(d) 6 μF
MCQ 1461 Mark
A 10 μF capacitor is charged to a potential difference of 50 V and is connected to another uncharged capacitor in parallel. Now the common potential difference becomes 20 volt. The capacitance of second capacitor is
- A10 μF
- B20 μF
- C30 μF
- ✓15 μF
Answer
View full question & answer→Correct option: D.
15 μF
15 μF
MCQ 1471 Mark
Two condensers $C_1$ and $C_2$ in a circuit are joined as shown in figure. The potential of point A is $V_1$ and that of B is$V_1$. The potential of point D will be
- A$\frac{1}{2}\left(V_1+V_2\right)$
- B$\frac{C_2 V_1+C_1 V_2}{C_1+C_2}$
- ✓$\frac{C_1 V_1+C_2 V_2}{C_1+C_2}$
- D$\frac{C_2 V_1-C_1 V_2}{C_1+C_2}$
Answer
View full question & answer→Correct option: C.
$\frac{C_1 V_1+C_2 V_2}{C_1+C_2}$
(c) $\frac{C_1 V_1+C_2 V_2}{C_1+C_2}$
MCQ 1481 Mark
A 10 $\mu \mathrm{F}$ capacitor and a 20 $\mu \mathrm{F}$ capacitor are connected in series across a 200 V supply line. The charged capacitors are then disconnected from the line and reconnected with their positive plates together and negative plates together and no external voltage is applied. What is the potential difference across each capacitor
- A$\frac{400}{9} \mathrm{~V}$
- ✓$\frac{800}{9} \mathrm{~V}$
- C$400 \mathrm{~V}$
- D$200 \mathrm{~V}$
Answer
View full question & answer→Correct option: B.
$\frac{800}{9} \mathrm{~V}$
(b) $\frac{800}{9} \mathrm{~V}$
MCQ 1491 Mark
Choose the incorrect statement from the following: When two identical capacitors are charged individually to different potentials and connected parallel to each other after disconnecting them from the source
- ANet charge equals the sum of initial charges
- BThe net energy stored in the two capacitors is less than the sum of the initial individual energies
- CThe net potential difference across them is different from the sum of the individual initial potential difference
- ✓The net potential difference across them equals the sum of the individual initial potential differences
Answer
View full question & answer→Correct option: D.
The net potential difference across them equals the sum of the individual initial potential differences
The net potential difference across them equals the sum of the individual initial potential differences
MCQ 1501 Mark
A capacitor of capacitance 5$\mu F$ is connected as shown in the figure. The internal resistance of the cell is 0.5 Ω. The amount of charge on the capacitor plate is
- A0 $\mu C$
- B5 $\mu C$
- ✓10 $\mu C$
- D25 $\mu C$
Answer
View full question & answer→Correct option: C.
10 $\mu C$
(c)10 $\mu C$