Two identical metal plates are given charges Q1 and Q2<Q1 respectively. If they are now brought close to form a parallel plate capacitor with capacitance C, the potential difference between them is :

1. Q1+Q22C

2. Q1+Q2C

3. Q1-Q2C

4. Q1-Q22C

Subtopic:  Capacitance |
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A and B are two concentric metallic shells. If A is positively charged and B is earthed, then electric:

               

1.  field at the common centre is non-zero.
2.  field outside B is non-zero.
3.  potential outside B is positive.
4.  potential at the common centre is positive.

Subtopic:  Electric Potential |
 56%
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Four equal charges \(Q\) are placed at the four corners of a square of each side \(a\). Work done in removing a charge \(-Q\) from its centre to infinity is:
1. \(0\)
2. \(\frac{\sqrt{2} Q^{2}}{4 \pi \varepsilon_{0} a}\)
3. \(\frac{\sqrt{2} Q^{2}}{\pi \varepsilon_{0} a}\)
4. \(\frac{Q^{2}}{2 \pi \varepsilon_{0} a}\)

Subtopic:  Electric Potential Energy |
 59%
From NCERT
AIIMS - 1995
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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 |
 85%
From NCERT
PMT - 2000
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Two equal charges \(q\) of opposite sign separated by a distance \(2a\) constitute an electric dipole of dipole moment \(p\). If \(P\) is a point at a distance \(r\) from the centre of the dipole and the line joining the centre of the dipole to this point makes an angle \(\theta\) with the axis of the dipole, then the potential at \(P\) is given by: \((r>>2a)\) (Where \(p = 2qa\)
1. \(V={p\cos \theta \over 4 \pi \varepsilon_0r^2}\) 2. \(V={p\cos \theta \over 4 \pi \varepsilon_0r}\)
3. \(V={p\sin \theta \over 4 \pi \varepsilon_0r}\) 4. \(V={p\cos \theta \over 2 \pi \varepsilon_0r^2}\)
Subtopic:  Electric Potential |
 73%
From NCERT
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Inside a hollow charged spherical conductor, the potential -

(1) Is constant

(2) Varies directly as the distance from the centre

(3) Varies inversely as the distance from the centre

(4) Varies inversely as the square of the distance from the centre

Subtopic:  Electric Potential |
 79%
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Two charged spheres of radii 10 cm and 15 cm are connected by a thin wire. No current will flow, if they have -

(1) The same charge on each

(2) The same potential

(3) The same energy

(4) The same field on their surfaces

Subtopic:  Electric Potential |
 90%
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Two spheres A and B of radius 4 cm and 6 cm are given charges of 80 μc and 40μc respectively. If they are connected by a fine wire, the amount of charge flowing from one to the other is -

(1) 20μc from A to B

(2) 16μc from A to B

(3) 32μc from B to A

(4) 32μc from A to B

Subtopic:  Electric Potential |
 60%
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On rotating a point charge having a charge q around a charge Q in a circle of radius r. The work done will be 

(1) q×2πr

(2) q×2πQr

(3) Zero

(4) Q2ε0r

Subtopic:  Equipotential Surfaces |
 88%
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In the figure the charge Q is at the centre of the circle. Work done is maximum when another charge is taken from point P to

(1) K

(2) L

(3) M

(4) N

Subtopic:  Electric Potential |
 74%
From NCERT
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