\(A,B\) and \(C\) are three points in a uniform electric field. The electric potential is:
               

1. maximum at \(A\)
2. maximum at \(B\)
3. maximum at \(C\)
4. same at all the three points \(A,B\) and \(C\)

Subtopic:  Relation between Field & Potential |
 84%
Level 1: 80%+
NEET - 2013
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Three capacitors of capacitances \(3~\mu\text{F}\), \(9~\mu\text{F}\) and \(18~\mu\text{F}\) are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases \(\frac{C_s}{C_p}\) will be:
1. \(1:15\)
2. \(15:1\)
3. \(1:1\)
4. \(1:3\)

Subtopic:  Combination of Capacitors |
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Level 1: 80%+
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Two charges \(q_1\) and \(q_2\) are placed \(30~\text{cm}\) apart, as shown in the figure. A third charge \(q_3\) is moved along the arc of a circle of radius \(40~\text{cm}\) from \(C\) to \(D.\) The change in the potential energy of the system is \(\dfrac{q_{3}}{4 \pi \varepsilon_{0}} k,\) where \(k\) is:

   
1. \(8q_2\) 2. \(8q_1\)
3 \(6q_2\) 4. \(6q_1\)
Subtopic:  Electric Potential Energy |
 67%
Level 2: 60%+
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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 |
 74%
Level 2: 60%+
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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. The electric potential at the surface of the cube is zero.
2. The electric potential within the cube is zero.
3. The electric field is normal to the surface of the cube.
4. The electric field varies within the cube.
Subtopic:  Equipotential Surfaces |
 78%
Level 2: 60%+
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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 |
 80%
Level 1: 80%+
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What is the potential energy of two equal positive point charges of \(1~ \mu \text{C}\) each held \(1~\text m\) 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 |
 78%
Level 2: 60%+
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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%
Level 2: 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. \(q \times2 \pi r\) 2. \(q \times2 \pi Q \over r\)
3. zero 4. \(Q \over 2\varepsilon_0r\)
Subtopic:  Equipotential Surfaces |
 89%
Level 1: 80%+
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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 \(A, B, \text{and } D,\) are at potential \(V_1, V_2 ~\text{and}~V_3\) then the potential at \(O\) will be:

1. \(\dfrac{V_1C_1+V_2C_2+V_3C_3}{C_1+C_2+C_3}\) 2. \(\dfrac{V_1+V_2+V_3}{C_1+C_2+C_3}\)
3. \(\dfrac{V_1(V_2+V_3)}{C_1(C_2+C_3)}\) 4. \(\dfrac{V_1V_2V_3}{C_1C_2C_3}\)
Subtopic:  Combination of Capacitors |
 91%
Level 1: 80%+
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