# 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 $\frac{{q}_{3}}{4\pi {\epsilon }_{0}}k$, where k is:       1. 8q2 2. 8q1 3 6q2 4. 6q1

Subtopic:  Electric Potential Energy |
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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 $\left(\frac{{C}_{s}}{{C}_{p}}\right)$ will be:

1. 1 : 15

2. 15 : 1

3. 1 : 1

4. 1 : 3

Subtopic:  Combination of Capacitors |
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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 |
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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 |
72%
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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%
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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 |
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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 |
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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 |
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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 |
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In the circuit shown in figure, energy stored in 6 $\mathrm{\mu F}$ 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 |
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