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 |
 72%
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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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Three capacitors of capacitances 3 μF, 9 μF and 18 μF are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases CsCp will be:

1. 1 : 15

2. 15 : 1

3. 1 : 1

4. 1 : 3

Subtopic:  Combination of Capacitors |
 87%
From NCERT
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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 |
 83%
From NCERT
NEET - 2013
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A cube of a metal is given a positive charge Q. For the above system, which of the following statements is true?

1. Electric potential at the surface of the cube is zero.
2. Electric potential within the cube is zero.
3. Electric field is normal to the surface of the cube.
4. Electric field varies within the cube.
Subtopic:  Equipotential Surfaces |
 77%
From NCERT
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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%
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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 |
 76%
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In the figure the charge Q is at the centre of the circle. Work done by the conservative force is maximum when another charge is taken from point P to:

      

1. K 2. L
3. M 4. N
Subtopic:  Electric Potential |
 70%
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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. \(q \times2 \pi r\) 2. \(q \times2 \pi Q \over r\)
3. zero 4. \(Q \over 2\varepsilon_0r\)
Subtopic:  Equipotential Surfaces |
 89%
From NCERT
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In the circuit shown in figure, energy stored in 6 μF capacitor will be:
 

1. \(48 \times10^{-6}~ \mathrm J\) 2. \(32 \times10^{-6}~ \mathrm J\)
3. \(96 \times10^{-6}~ \mathrm J\) 4. \(24 \times10^{-6}~ \mathrm J\)
Subtopic:  Energy stored in Capacitor |
 64%
From NCERT
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