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question_answer1)
Direction: Q.1 to Q.5 |
The potential at any observation point P of a static electric field is defined as the work done by the external agent (or negative of work done by electrostatic field) in slowly bringing a unit positive point charge from infinity to the observation point. Figure shows the potential variation along the line of charges. Two point charges \[{{Q}_{1}}\], and \[{{Q}_{2}}\]lie along a line at a distance from each other. |
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Read the given passage carefully and give the answer of the following questions. |
At which of the points 1, 2 and 3 is the electric field is zero?
A)
1 done
clear
B)
2 done
clear
C)
3 done
clear
D)
Both (a) and done
clear
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question_answer2)
The signs of charges \[{{Q}_{1}}\] and \[{{Q}_{2}}\] respectively are:
A)
positive and negative done
clear
B)
negative and positive done
clear
C)
positive and positive done
clear
D)
negative and negative done
clear
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question_answer3)
Which of the two charges \[{{Q}_{1}}\] and \[{{Q}_{2}}\] is greater in magnitude?
A)
\[{{Q}_{2}}\] done
clear
B)
\[{{Q}_{1}}\] done
clear
C)
Same done
clear
D)
Can't determined done
clear
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question_answer4)
Which of the following statement is not true?
A)
Electrostatic force is a conservative force done
clear
B)
Potential energy of charge q at a point is the work done per unit charge in bringing a charge from any point to infinity done
clear
C)
When two like charges lie infinite distance apart, their potential energy is zero done
clear
D)
Both (a) and (c) done
clear
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question_answer5)
Positive and negative charges of equal magnitude are kept at \[\left( 0,\,0,\,\frac{a}{2} \right)\]and \[\left( 0,\,0,\,\frac{-a}{2} \right)\] respectively. The work done by the electric field when another positive point charge is moved from (-0,0,0) to (0, a, 0) is:
A)
positive done
clear
B)
negative done
clear
C)
zero done
clear
D)
depends on the path connecting the initial and final positions done
clear
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question_answer6)
Direction: Q.6 to Q.10 |
Potential difference \[\left( \Delta V \right)\]between two points A and B separated by a distance x, in a uniform electric field E is given by \[\Delta V=-Ex\]where x is measured parallel to the field lines. If a charge \[{{q}_{0}}\]moves from P to Q, the change in potential energy \[\left( \Delta U \right)\]is given as \[\Delta U={{q}_{0}}\Delta V\]. A proton is released from rest in uniform electric field of magnitude \[4.0\times {{10}^{8}}V{{m}^{-1}}\]directed along the positive X-axis. The proton undergoes a displacement of 0.25 m in the direction of E. |
Mass of a proton \[=1.66\times {{10}^{-27}}kg\]and charge of proton\[=1.6\times {{10}^{-19}}C\] |
Read the given passage carefully and give the answer of the following questions. |
|
The change in electric potential of the proton between the points A and B is:
A)
\[-1\times {{10}^{8}}V\] done
clear
B)
\[1\times {{10}^{8}}V\] done
clear
C)
\[6.4\times {{10}^{-19}}V\] done
clear
D)
\[-6.4\times {{10}^{-19}}V\] done
clear
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question_answer7)
The change in electric potential energy of the proton for displacement from A to B is:
A)
\[1.6\times {{10}^{11}}J\] done
clear
B)
\[0.5\times {{10}^{23}}J\] done
clear
C)
\[-1.6\times {{10}^{-11}}J\] done
clear
D)
\[3.2\times {{10}^{22}}J\] done
clear
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question_answer8)
The mutual electrostatic potential energy between two protons which are at a distance of \[9\times {{10}^{-15}}m\], in \[_{92}{{U}^{235}}\]nucleus is:
A)
\[1.56\,\times {{10}^{-14}}J\] done
clear
B)
\[5.5\times {{10}^{-14}}J\] done
clear
C)
\[2.56\times {{10}^{-14}}J\] done
clear
D)
\[4.56\times {{10}^{-14}}J\] done
clear
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question_answer9)
If a system consists of two charges 4 mC and -3 mC with no external field placed at (-5 cm, 0, 0) and (5 cm, 0, 0) respectively. The amount of work required to separate the two charges infinitely away from each other is:
A)
-1.1 J done
clear
B)
2 J done
clear
C)
2.5 J done
clear
D)
3 J done
clear
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question_answer10)
As the proton moves from P to Q, then:
A)
the potential energy of proton decreases done
clear
B)
the potential energy of proton increases done
clear
C)
the proton Loses kinetic energy done
clear
D)
total energy of the proton increases done
clear
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question_answer11)
Direction: Q.11 to Q.15 |
This energy possessed by a system of charges by virtue of their positions. When two like charges lie infinite distance apart, their potential energy is zero because no work has to be done in moving one charge at infinite distance from the other. |
In carrying a charge q from point A to point B, work done\[W=q\left( {{V}_{A}}-{{V}_{B}} \right)\]. This work may appear as change in KE/PE of the charge. The potential energy of two charges \[{{q}_{1}}\]and \[{{q}_{2}}\]at a distance r in air is\[\frac{{{q}_{1}}{{q}_{2}}}{4\pi {{\varepsilon }_{0}}r}\]. It is measured in joule. It may be positive, negative or zero depending on the signs of \[{{q}_{1}}\]and \[{{q}_{2}}\]. |
Read the given passage carefully and give the answer of the following questions. |
Calculate work done in separating two electrons form a distance of 1 m to 2 m in air, where e is electric charge and k is electrostatic force constant.
A)
\[k{{e}^{2}}\] done
clear
B)
\[{{e}^{2}}/2\] done
clear
C)
\[-k{{e}^{2}}/2\] done
clear
D)
zero done
clear
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question_answer12)
Four equal charges q each are placed at four corners of a square of side a each. Work done in carrying a charge q from its centre to infinity is:
A)
zero done
clear
B)
\[\frac{\sqrt{2}{{q}^{2}}}{\pi {{\varepsilon }_{0}}a}\] done
clear
C)
\[\frac{\sqrt{2}q}{\pi {{\varepsilon }_{0}}a}\] done
clear
D)
\[\frac{{{q}^{2}}}{\pi {{\varepsilon }_{0}}a}\] done
clear
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question_answer13)
Two points A and B are located in diametrically opposite directions of a point charge \[+2\mu C\]at distances 2 m and 1 m respectively from it. The potential difference between A and S is:
A)
\[3\times {{10}^{3}}V\] done
clear
B)
\[6\times {{10}^{4}}V\] done
clear
C)
\[-9\times {{10}^{3}}V\] done
clear
D)
\[-3\times {{10}^{3}}V\] done
clear
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question_answer14)
Two points charges \[A=+3nC\]and \[B=+1\text{ }nC\]are placed 5 cm apart in air. The work done to move charge B towards A by 1 cm is;
A)
\[2.0\times {{10}^{-7}}J\] done
clear
B)
\[1.35\times {{10}^{-7}}J\] done
clear
C)
\[2.7\times {{10}^{-7}}J\] done
clear
D)
\[12.1\times {{10}^{-7}}J\] done
clear
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question_answer15)
A charge Q is placed at the origin. The electric potential due to this charge at a given point in space is V. The work done by an external force in bringing another charge q from infinity up to the point is:
A)
\[\frac{V}{q}\] done
clear
B)
Vq done
clear
C)
\[V+q\] done
clear
D)
V done
clear
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question_answer16)
Direction: Q.16 to Q.20 |
When an insulator is placed in an external field, the dipoles become aligned. Induced surface charges on the insulator establish a polarization field \[{{\overrightarrow{E}}_{i}}\] in its interior. |
The net field \[\overrightarrow{E}\]in the insulator is the vector sum of \[{{\overrightarrow{E}}_{0}}\] and \[{{\overrightarrow{E}}_{i}}\]as shown in the figure. |
|
On the application of external electric field, the effect of aligning the electric dipoles in the insulator is called polarisation and the field \[{{\overrightarrow{E}}_{i}}\] is known as the polarization field. |
The dipole moment per unit volume of the dielectric is known as polarisation \[\left( \overrightarrow{P} \right)\]. |
For linear isotropic dielectrics, \[\overrightarrow{P}=\chi \overrightarrow{E}\], where \[\chi \] = electrical susceptibility of the dielectric medium. |
Read the given passage carefully and give the answer of the following questions. |
Which among the following is an example of polar molecule?
A)
\[{{O}_{2}}\] done
clear
B)
\[{{H}_{2}}\] done
clear
C)
\[{{N}_{2}}\] done
clear
D)
\[HCl\] done
clear
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question_answer17)
When air is replaced by a dielectric medium of constant K, the maximum force of attraction between two charges separated by a distance:
A)
increases K times done
clear
B)
remains unchanged done
clear
C)
decreases K times done
clear
D)
increases 2K times done
clear
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question_answer18)
Which of the following is a dielectric?
A)
Copper done
clear
B)
Glass done
clear
C)
Antimony (Sb) done
clear
D)
None of these done
clear
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question_answer19)
For a polar molecule, which, of the following statements is true?
A)
The centre of gravity of electrons and protons coincide done
clear
B)
The centre of gravity of electrons and protons do not coincide done
clear
C)
The charge distribution is always symmetrical done
clear
D)
The dipole moment is always zero done
clear
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question_answer20)
When a comb rubbed with dry hair attracts pieces of paper. This is because the:
A)
comb polarizes the piece of paper done
clear
B)
comb induces a net dipole moment opposite to the direction of field done
clear
C)
electric field due to the comb is uniform done
clear
D)
comb induces a net dipole moment perpendicular to the direction of field done
clear
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question_answer21)
Direction: Q.21 to Q.25 |
The electrical capacitance of a conductor is the measure of its ability to hold electric charge. An isolated spherical conductor of radius R. The charge Q is uniformly distributed over its entire surface. It can be assumed to be concentrated at the centre of the sphere. The potential at any point on the surface of the spherical conductor will be |
|
\[V=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{Q}{R}\]. |
Capacitance of the spherical conductor situated in vacuum is |
\[C=\frac{Q}{V}=\frac{Q}{\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{Q}{R}}\] or \[C=4\pi {{\varepsilon }_{0}}R\] |
Clearly, the capacitance of a spherical conductor is proportional to its radius. |
The radius of the spherical conductor is 1 F capacitance is \[R=\frac{1}{4\pi {{\varepsilon }_{0}}}.C\]and this radius is about 1500 times the radius of earth\[\left( \tilde{\ }6\times {{10}^{3}}\,km \right)\]. |
Read the given passage carefully and give the answer of the following questions. |
If an isolated sphere has a capacitance 50 pF then radius is:
A)
90 cm done
clear
B)
45 cm done
clear
C)
45 m done
clear
D)
90 m done
clear
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question_answer22)
How much charge should be placed on a capacitance of 25 pF to raise its potential to \[{{10}^{5}}V?\]
A)
\[1\mu C\] done
clear
B)
\[1.5\,\mu C\] done
clear
C)
\[2\mu C\] done
clear
D)
\[2.5\mu C\] done
clear
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question_answer23)
Dimensions of capacitance is:
A)
\[\left[ M{{L}^{-2}}{{T}^{4}}{{A}^{2}} \right]\] done
clear
B)
\[\left[ {{M}^{-1}}{{L}^{-1}}{{T}^{3}}{{A}^{1}} \right]\] done
clear
C)
\[\left[ {{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{A}^{2}} \right]\] done
clear
D)
\[\left[ {{M}^{0}}{{L}^{-2}}{{T}^{4}}{{A}^{1}} \right]\] done
clear
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question_answer24)
Metallic sphere of radius R is charged to potential V. Then charge q is proportional to:
A)
V done
clear
B)
R done
clear
C)
Both (a) and (b) done
clear
D)
None of these done
clear
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question_answer25)
If 64 identical spheres of charge q and capacitance C each are combined to form a Large sphere. The charge and capacitance of the large sphere is:
A)
\[64q,\,C\] done
clear
B)
\[16q,\,4C\] done
clear
C)
\[64q,\,4C\] done
clear
D)
\[16q,\,64C\] done
clear
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question_answer26)
Direction: Q.26 to Q.30 |
Surface charge density is defined as charge per unit surface area of surface charge distribution, i.e.,\[\sigma =\frac{dq}{ds}\]. Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs having magnitude of \[17.0\times {{10}^{-22}}C{{m}^{-2}}\]as shown. The intensity of electric field at a point is\[E=\frac{\sigma }{{{\varepsilon }_{0}}}\], |
where,\[{{\varepsilon }_{0}}\]= permittivity of free space. |
|
Read the given passage carefully and give the answer of the following questions. |
E in the outer region of the first plate is:
A)
\[17\times {{10}^{-22}}N/C\] done
clear
B)
\[1.5\times {{10}^{-15}}N/C\] done
clear
C)
\[1.9\times {{10}^{-10}}N/C\] done
clear
D)
zero done
clear
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question_answer27)
E fin the outer region of the second plate is:
A)
\[17\times {{10}^{-22}}N/C\] done
clear
B)
\[1.5\times {{10}^{-15}}N/C\] done
clear
C)
\[1.9\times {{10}^{-10}}N/C\] done
clear
D)
zero done
clear
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question_answer28)
E between the plates is:
A)
\[17\times {{10}^{-22}}N/C\] done
clear
B)
\[1.5\times {{10}^{-15}}N/C\] done
clear
C)
\[1.9\times {{10}^{-10}}N/C\] done
clear
D)
zero done
clear
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question_answer29)
The ratio of E from right side of B at distances 2 cm and 4 cm respectively, is:
A)
1 : 2 done
clear
B)
2 : 1 done
clear
C)
1 : 1 done
clear
D)
\[1:\sqrt{2}\] done
clear
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question_answer30)
In order to estimate the electric field due to a thin finite plane metal plate, the Gaussian surface considered is:
A)
spherical done
clear
B)
cylindrical done
clear
C)
straight line done
clear
D)
None of these done
clear
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question_answer31)
Direction: Q.31 to Q.35 |
The simplest and the most widely used capacitor is the parallel plate capacitor. It consists of two large plane parallel conducting plates, separated by a small distance. |
In the outer regions above the upper plate and below the lower plate, the electric fields due to the two charged plates cancel out. The net field is zero. |
In the inner region between the two capacitor plates, the electric fields due to the two charged plates add up. The net field is \[\frac{\sigma }{{{\varepsilon }_{0}}}\]. |
|
For a uniform electric field, potential difference between the plates = Electric field \[\times \] distance between the plates. |
Capacitance of the parallel plate capacitor is, the charge required to supplied to either of the conductors of the capacitor so as to increase the potential difference between, then by unit amount. |
Read the given passage carefully and give the answer of the following questions. |
A parallel plate capacitor is charged and then isolated. The effect of increasing the plate separation on charge, potential and capacitance respectively are:
A)
increases, decreases, decreases done
clear
B)
constant, increases, decreases done
clear
C)
constant, decreases, decreases done
clear
D)
constant, decreases, increases done
clear
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question_answer32)
In a parallel plate capacitor, the capacity increases if:
A)
area of the plate is decreases done
clear
B)
distance between the plates increases done
clear
C)
area of the plate is increases done
clear
D)
dielectric constant decreases done
clear
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question_answer33)
A parallel plate capacitor has two square plates with equal and opposite charges. The surface charge densities on the plates are \[+\sigma \] and \[-\sigma \] respectively. In the region between the plates the magnitude of the electric field is:
A)
\[\frac{\sigma }{2{{\varepsilon }_{0}}}\] done
clear
B)
\[\frac{\sigma }{{{\varepsilon }_{0}}}\] done
clear
C)
0 done
clear
D)
None of these done
clear
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question_answer34)
If a parallel plate air capacitor consists of two circular plates of diameter 8 cm. At what distance should the plate be held so as to have the same capacitance as that of sphere of diameter 20 cm?
A)
9 mm done
clear
B)
4 mm done
clear
C)
8 mm done
clear
D)
2 mm done
clear
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question_answer35)
If a charge of \[+2.0\times {{10}^{-8}}C\]is placed on the positive plate and a charge of \[-1.0\times {{10}^{-8}}C\]on the negative plate of a parallel plate capacitor of capacitance\[1.2\times {{10}^{-3}}\mu F\], then the potential difference developed between the plates is:
A)
6.25V done
clear
B)
3.0V done
clear
C)
12.5 V done
clear
D)
25V done
clear
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question_answer36)
Direction: Q.36 to Q.40 |
A dielectric slab is a substance which does not allow the flow of charges through it but permits them to exert electrostatic forces on one another. |
When a dielectric slab is placed between the plates, the field \[{{E}_{0}}\]polarises the dielectric. This induce charge \[-{{Q}_{P}}\]on the upper surface are \[+{{Q}_{P}}\]on the lower surface of the dielectric. These induced charges set up a field \[{{E}_{P}}\]inside the dielectric in the opposite direction of \[{{\overrightarrow{E}}_{0}}\] as shown. |
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Read the given passage carefully and give the answer of the following questions. |
In a parallel plate capacitor, the capacitance increases from \[4\mu F\] to \[80\mu F\], on introducing a dielectric medium between the plates. What is the dielectric constant of the medium?
A)
10 done
clear
B)
20 done
clear
C)
50 done
clear
D)
100 done
clear
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question_answer37)
A parallel plate capacitor with air between the plates has a capacitance of 8 pF. The separation between the plates is now reduced half and the space between them is filled with a medium of dielectric constant 5. Calculate the value of capacitance of the capacitor in second case.
A)
BpF done
clear
B)
10pF done
clear
C)
80 pF done
clear
D)
100 pF done
clear
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question_answer38)
A dielectric introduced between the plates of a parallel plate condenser:
A)
decreases the electric field between the plates done
clear
B)
increases the capacity of the condenser done
clear
C)
increases the charge stored in the condenser done
clear
D)
increases the capacity of the condenser done
clear
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question_answer39)
A parallel plate capacitor of capacitance 1pF has separation between the plates is (d) When the distance of separation becomes 2d and wax of dielectric constant x is inserted in it the capacitance becomes 2 pF. What is the value of x?
A)
2 done
clear
B)
4 done
clear
C)
6 done
clear
D)
8 done
clear
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question_answer40)
A parallel plate capacitor having area A and separated by distance d is filled by copper plate of thickness b. The new capacity is:
A)
\[\frac{{{\varepsilon }_{0}}A}{d+\frac{b}{2}}\] done
clear
B)
\[\frac{{{\varepsilon }_{0}}A}{2d}\] done
clear
C)
\[\frac{{{\varepsilon }_{0}}A}{d-b}\] done
clear
D)
\[\frac{2{{\varepsilon }_{0}}A}{d+\frac{b}{2}}\] done
clear
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question_answer41)
Direction: Q.41 to Q.45 |
An arrangement of two conductors separated by an insulating medium can be used to store electric charge and electric energy. Such a system is called a capacitor. The more charge a capacitor can store, the greater is its capacitance. Usually, a capacitor consists of two conductors having equal and opposite charge +Q and -Q. |
Hence, there is a potential difference V between them. By the capacitance of a capacitor, we mean the ratio of the charge Q to the potential difference V. By the charge on a capacitor we mean only the charge Q on the positive plate. Total charge of the capacitor is zero. The capacitance of a capacitor is a constant and depends on geometric factors, such as the shape, size and relative position of the two conductors, and the nature of the medium between them. The unit of capacitance is farad (F), but the more convenient units are \[\mu F\]and pF. A commonly used capacitor consists of two long strips or metal foils, separated by two long strips of dielectrics, rolled up into a small cylinder. Common dielectric materials are plastics (such as polyesters and polycarbonates) and aluminium oxide. Capacitors are widely used in television, computer, and other electric circuits. |
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Read the given passage carefully and give the answer of the following questions. |
A parallel plate capacitor C has a charge Q/2. The actual charges on its plates are:
A)
0.0 done
clear
B)
\[Q/2,\,Q/2\] done
clear
C)
\[Q,-Q\] done
clear
D)
\[Q/2,-Q/2\] done
clear
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question_answer42)
A parallel plate capacitor is charged. If the plates are pulled apart:
A)
the capacitance increases done
clear
B)
the potential difference increases done
clear
C)
the total charge increases done
clear
D)
the charge and potential difference remain the same. done
clear
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question_answer43)
If n capacitors, each of capacitance C, are connected in series, then the equivalent capacitance of the combination will be:
A)
\[nC\] done
clear
B)
\[{{n}^{2}}C\] done
clear
C)
\[C/n\] done
clear
D)
\[C/{{n}^{2}}\] done
clear
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question_answer44)
Three capacitons of 2.0, 5.0 and \[6.0\mu F\]are connected in series to a 10 V source. The charge on the \[3.0\mu F\]capacitor is :
A)
\[5\mu C\] done
clear
B)
\[10\mu C\] done
clear
C)
\[12\mu C\] done
clear
D)
\[15\mu C\] done
clear
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question_answer45)
What is the potential difference across \[2\mu F\]capacitor in the circuit shown?
A)
12 V done
clear
B)
4 V done
clear
C)
6 V done
clear
D)
18 V done
clear
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question_answer46)
Direction: Q.46 to Q.50 |
A capacitor is a device to store energy. The process of charging up a capacitor involves the transferring of electric charges from its one place to another. This work done in charging the capacitor is stored as its electrical potential energy. |
|
If q is the charge and V is the potential difference across a capacitor at any instant during its charging, then small work done in storing an additional small charge dq against the repulsion of charge q already stored on it is \[dW=V.dq=\left( q/C \right)dq.\] |
Read the given passage carefully and give the answer of the following questions. |
A system of 2 capacitors of capacitance \[2\mu F\]and \[4\mu F\]is connected in series across a potential difference of 6 V. The energy stored in the system is:
A)
\[3\mu J\] done
clear
B)
\[24\mu J\] done
clear
C)
\[30\mu J\] done
clear
D)
\[108\,\mu J\] done
clear
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question_answer47)
A capacitor of capacitance of \[10\mu F\]is charged to 10 V. The energy stored in it is:
A)
\[100\mu J\] done
clear
B)
\[500\mu J\] done
clear
C)
\[1000\mu J\] done
clear
D)
\[1\mu J\] done
clear
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question_answer48)
A parallel plate air capacitor has capacity C farad, potential V volt and energy E joule. When the gap between the plates is completely filled with dielectric:
A)
Both V and E increase done
clear
B)
Both V and E decrease done
clear
C)
V decreases, F increases done
clear
D)
V increases, £ decreases done
clear
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question_answer49)
A capacitor with capacitance \[5\mu F\]is charged to \[5\mu C\]If the plates are pulled apart to reduce the capacitance to \[2\mu F\]how much work is done?
A)
\[6.25\times {{10}^{-6}}J\] done
clear
B)
\[3.75\times {{10}^{-6}}J\] done
clear
C)
\[2.16\times {{10}^{-6}}J\] done
clear
D)
\[2.55\times {{10}^{-6}}J\] done
clear
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question_answer50)
A metallic sphere of radius 18 cm has been given a charge of \[5\times {{10}^{-6}}C\]. The energy of the charged conductor is:
A)
0.2J done
clear
B)
06 J done
clear
C)
1.2J done
clear
D)
2.4J done
clear
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