When the separation between two charges is increased, the electric potential energy of the charges:

 1 increases 2 decreases 3 remains the same 4 may increase or decrease

Subtopic: Â Electric Potential Energy |
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As per this diagram, a point charge $$\mathrm{+q}$$ is placed at the origin $$\mathrm{O}.$$ Work done in taking another point charge $$\mathrm{-Q}$$ from the point $$\mathrm{A},$$ coordinates $$(\mathrm{0,a}),$$ to another point $$\mathrm{B},$$ coordinates $$(\mathrm{a,0}),$$ along the straight path $$\mathrm{AB}$$ is:

 1 $$\left(\frac{-\mathrm{qQ}}{4 \pi \varepsilon_0} \frac{1}{\mathrm{a}^2}\right) \sqrt{2} \mathrm{a}$$ 2 zero 3 $$\left(\frac{\mathrm{qQ}}{4 \pi \varepsilon_0} \frac{1}{\mathrm{a}^2}\right) \frac{1}{\sqrt{2}}$$ 4 $$\left(\frac{\mathrm{qQ}}{4 \pi \varepsilon_0} \frac{1}{\mathrm{a}^2}\right) \sqrt{2} \mathrm{a}$$
Subtopic: Â Electric Potential Energy |
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AIPMT - 2005
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Four particles having identical charges are placed at the four corners of a square of side $$2$$ m. The potential at the centre of the square is $$2\sqrt2$$  V.
The potential energy of the system of charges is $$U_0.$$ If the charges are brought closer so that each side of the square is $$1$$ m, then the new potential energy of the system will be:
 1 $$U_0$$ 2 $$\frac{U_0}{2}$$ 3 $$2U_0$$ 4 $$4U_0$$
Subtopic: Â Electric Potential Energy |
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A positively charged light particle of charge $$q$$ and mass $$m$$ approaches another heavy particle of positive charge $$Q,$$ coming towards it with an initial speed $$u,$$ when it is far away.

The distance of the closest approach is given by:

1. $$\frac{q Q}{4 \pi \varepsilon_{0} m u^{2}}$$

2. $$\frac{q Q}{\pi \varepsilon_{0} m u^{2}}$$

3. $$\frac{q Q}{2 \pi \varepsilon_{0} m u^{2}}$$

4. $$\frac{4 \pi \varepsilon_{0} m u^{2}}{q Q}$$

Subtopic: Â Electric Potential Energy |
From NCERT