What is the potential energy of two equal positive point charges of \(1~ \mu \text{C}\) each held \(1\) m apart in the air?

1. \(9 \times 10^{-3}~\text{J}\) 2. \(9 \times 10^{-3}~\text{eV}\)
3. \(2~\text{eV/m}\) 4. zero
Subtopic:  Electric Potential Energy |
 77%
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Three charges \(Q\)\(+q \) and \(+q \) are placed at the vertices of an equilateral triangle of side \(l\) as shown in the figure. If the net electrostatic energy of the system is zero, then \(Q\) is equal to:

           

1. \(-\frac{q}{2} \) 2. \(-q\)
3. \(+q\) 4. \(\text{zero}\)
Subtopic:  Electric Potential Energy |
 73%
From NCERT
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Two charges q1 and q2 are placed 30 cm apart, as shown in the figure. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is q34πε0k, where k is:

     

1. 8q2 2. 8q1
3 6q2 4. 6q1
Subtopic:  Electric Potential Energy |
 66%
From NCERT
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If \(50~\text{J}\) of work must be done to move an electric charge of \(2~\text{C}\) from a point where the potential is \(-10\) volt to another point where the potential is \(\mathrm{V}\) volt, then the value of \(\mathrm{V}\) is:
1. \(5\) volt
2. \(-15\) volt
3. \(+15\) volt
4. \(+10\) volt

Subtopic:  Electric Potential |
 85%
From NCERT
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Three charges, each \(+q\), are placed at the corners of an equilateral triangle \(ABC\) of sides \(BC\), \(AC\), and \(AB\). \(D\) and \(E\) are the mid-points of \(BC\) and \(CA\). The work done in taking a charge \(Q\) from \(D\) to \(E\) is:

        

1. \(\frac{3qQ}{4\pi \varepsilon_0 a}\) 2. \(\frac{3qQ}{8\pi \varepsilon_0 a}\)
3. \(\frac{qQ}{4\pi \varepsilon_0 a}\) 4. \(\text{zero}\)
Subtopic:  Electric Potential |
 82%
From NCERT
AIPMT - 2011
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A bullet of mass 2 g is having a charge of 2 µC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s?
1. 50 kV
2. 5 V
3. 50 V
4. 5 kV 
 

Subtopic:  Electric Potential |
 77%
From NCERT
AIPMT - 2004
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Ten electrons are equally spaced and fixed around a circle of radius R. Relative to V = 0 at infinity, the electrostatic potential V and the electric field E at the centre C are:

1.  \(V \neq 0 \text { and } \vec{E} \neq 0\) 
2. \(V \neq 0 \text { and } \vec{E}=0\)
3. \(V=0 \text { and } \vec{E}=0\)
4. \(V=0 \text { and } \vec{E} \neq 0\)

Subtopic:  Electric Potential |
 77%
From NCERT
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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 |
 74%
From NCERT
AIPMT - 2011
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Eight equally charged tiny drops are combined to form a big drop. If the potential on each drop is 10 V, then the potential of the big drop will be:

1. 40 V 2. 10 V
3. 30 V 4. 20 V
Subtopic:  Electric Potential |
 74%
From NCERT
AIPMT - 1999
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The increasing order of the electrostatic potential energies for the given system of charges is given by:

     

1. a = d < b < c 2. b = d < c < a
3. b = c < a < d 4. c < a < b < d
Subtopic:  Electric Potential |
 77%
From NCERT
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