A metallic sphere of capacitance C1, charged to electric potential V1 is connected by a metal wire to another metallic sphere of capacitance C2 charged to electric potential V2. The amount of heat produced in connecting the wire during the process is:

1.C1C22C1+C2V1+V22

2. C1C22(C1+C2)(V1-V2)2

3. C1C2C1+C2(V1-V2)2

4. zero

Subtopic:  Energy stored in Capacitor |
 61%
From NCERT
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Four equal charges Q are placed at the four corners of a square of each side is ‘a’. Work done in removing a charge – Q from its centre to infinity is 

(1) 0

(2) 2Q24πε0a

(3) 2Q2πε0a

(4) Q22πε0a

Subtopic:  Electric Potential Energy |
 52%
From NCERT
AIIMS - 1995
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Two spheres of radius a and b respectively are charged and joined by a wire. The ratio of the electric field at the surface of the spheres is 

(1) a/b

(2) b/a

(3) a2/b2

(4) b2/a2

Subtopic:  Electric Potential |
 56%
From NCERT
PMT - 1999
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An electron of mass m and charge e is accelerated from rest through a potential difference V in vacuum. The final speed of the electron will be 

(1) Ve/m

(2) eV/m

(3) 2eV/m

(4) 2eV/m

Subtopic:  Electric Potential Energy |
 84%
From NCERT
PMT - 2000
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A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of the resulting system 

1. increases by a factor of 4

2.decreases by a factor of 2

3. remain the same 

4. increases by a factor of 2

Subtopic:  Energy stored in Capacitor |
 64%
From NCERT
NEET - 2017
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The diagrams below show regions of equipotentials.

 

A positive charge is moved from A to B in each diagram. Then:

1. the maximum work is required to move q in figure(iii).
2. in all four cases, the work done is the same.
3. the minimum work is required to move q in the figure(i).
4. the maximum work is required to move q in figure(ii).
Subtopic:  Equipotential Surfaces |
 90%
From NCERT
NEET - 2017
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An electric dipole is place at an angle of \(30^{\circ}\) with an electric field intensity \(2\times10^{5}~\text{N/C}\). It experiences a torque equal to \(4~\text{Nm}\). The charge on the dipole, if the dipole length is \(2~\text{cm}\), is: 

1. \(8~\text{mC}\) 2. \(2~\text{mC}\)
3. \(5~\text{mC}\) 4. \(7~\mu\text{C}\)

Subtopic:  Energy of Dipole in an External Field |
 86%
From NCERT
NEET - 2016
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A parallel-plate capacitor of area A, plate separation d, and capacitance C is filled with four dielectric materials having dielectric constants k1,k2,k3 and k4 as shown in the figure below. 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) k=k1+k2+k3+3k4

(b) k=23k1+k2+k3+2k4

(c) 1k=32k1+k2+k3+12k4

(d) 1k=1k1+1k2+1k3+32k4

Subtopic:  Dielectrics in Capacitors |
 68%
From NCERT
NEET - 2016
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A capacitor of 2 μF is charged as shown in the figure. When the switch S is turned to position 2, the percentage of its stored energy dissipated is:
       

1. 20% 2. 75%
3. 80% 4. 0%
Subtopic:  Energy stored in Capacitor |
 63%
From NCERT
NEET - 2016
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A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?
 

1. The potential difference between the plates decreases K times
2. The energy stored in the capacitor decreases K times
3. The change in energy stored is \({1 \over 2} CV^{2}(\frac{1}{K}-1)\)
4. The charge on the capacitor is not conserved

Subtopic:  Energy stored in Capacitor |
 70%
From NCERT
NEET - 2015
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