Four electric charges \(+\mathrm q,\) \(+\mathrm q,\) \(-\mathrm q\) and \(-\mathrm q\) are placed at the corners of a square of side \(2\mathrm{L}\) (see figure). The electric potential at point A, mid-way between the two charges \(+\mathrm q\) and \(+\mathrm q\) is:
              

1.  14πε02qL1+15

2.  14πε02qL1-15

3.  zero

4.  14πε02qL1+5

Subtopic:  Electric Potential |
 73%
From NCERT
AIPMT - 2011
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The electric potential at a point in free space due to a charge \(Q\) coulomb is \(Q\times10^{11}~\text{V}\). The electric field at that point is:
1. \(4\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)
2. \(12\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}\)
3. \(4\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}\)
4. \(12\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}\)

Subtopic:  Relation between Field & Potential |
 72%
From NCERT
AIPMT - 2008
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An electric dipole of moment \(\vec {p} \) is lying along a uniform electric field \(\vec{E}\). The work done in rotating the dipole by \(90^{\circ}\) is:
1. \(\sqrt{2}pE\)
2. \(\frac{pE}{2}\)
3. \(2pE\)
4. \(pE\)

Subtopic:  Energy of Dipole in an External Field |
 82%
From NCERT
AIPMT - 2006
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The variation of potential with distance x from a fixed point is shown in the figure. The electric field at x =13 m is:

1. 7.5 volt/meter 

2. –7.5 volt/meter

3. 5 volt/meter 

4. –5 volt/meter

Subtopic:  Relation between Field & Potential |
From NCERT
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Three uncharged capacitors of capacities \(C_1, C_2~\text{and}~C_3~~\) are connected to one another as shown in the figure.

        

If points \(\mathrm{A}\)\(\mathrm{B}\), and \(\mathrm{D}\), are at potential \(V_1, V_2 ~\text{and}~V_3\) then the potential at \(\mathrm{O}\) will be:
1. \(\frac{V_1C_1+V_2C_2+V_3C_3}{C_1+C_2+C_3}\)
2. \(\frac{V_1+V_2+V_3}{C_1+C_2+C_3}\)
3. \(\frac{V_1(V_2+V_3)}{C_1(C_2+C_3)}\)
4. \(\frac{V_1V_2V_3}{C_1C_2C_3}\)

Subtopic:  Combination of Capacitors |
 90%
From NCERT
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The figure shows some of the equipotential surfaces. Magnitude and direction of the electric field is given by:

              

1. 200 V/m, making an angle \(120^\circ\)with the x-axis 
2. 100 V/m, pointing towards the negative x-axis
3. 200 V/m, making an angle \(60^\circ\)with the x-axis
4. 100 V/m, making an angle \(30^\circ\)with the x-axis

Subtopic:  Relation between Field & Potential |
 55%
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\(\mathrm{A}\), \(\mathrm{B}\) and \(\mathrm{C}\) are three points in a uniform electric field. The electric potential is:

1. maximum at \(\mathrm{A}\)
2. maximum at \(\mathrm{B}\)
3. maximum at \(\mathrm{C}\)
4. same at all the three points \(\mathrm{A},\mathrm{B} ~\text{and}~\mathrm{C}\)
Subtopic:  Relation between Field & Potential |
 82%
From NCERT
NEET - 2013
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In the given figure if V=4 volt, each plate of the capacitor has a surface area of 10-m2 and the plates are 0.1×10-m apart, then the number of excess electrons on the negative plate is:

           

1. 5.15×109

2. 2.21×1010

3. 3.33×109

4. 2.21×109

Subtopic:  Capacitance |
 65%
From NCERT
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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 θ with the axis of the dipole, then the potential at P is given by: (r >> 2a) (Where p = 2qa

1. \(V={pcos \theta \over 4 \pi \varepsilon_0r^2}\) 2. \(V={pcos \theta \over 4 \pi \varepsilon_0r}\)
3. \(V={psin \theta \over 4 \pi \varepsilon_0r}\) 4. \(V={pcos \theta \over 2 \pi \varepsilon_0r^2}\)
Subtopic:  Electric Potential |
 72%
From NCERT
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Two thin dielectric slabs of dielectric constants K1&K2 (K1<K2) are inserted between plates of a parallel capacitor, as shown in the figure. The variation of electric field E between the plates with distance d as measured from plate P is correctly shown by:  
  312869

1. 2.
3. 4.
Subtopic:  Dielectrics in Capacitors |
 77%
From NCERT
NEET - 2014
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