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 |
72%
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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 |
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 $$-10$$ volts to another point where the potential is $$\mathrm{V}$$ volts, then the value of $$\mathrm{V}$$ is:
1. $$5$$ volts
2. $$-15$$ volts
3. $$+15$$ volts
4. $$+10$$ volts

Subtopic:  Electric Potential |
84%
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 |
83%
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 |
76%
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 |
78%
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Four electric charges $$+ q,$$ $$+ q,$$ $$- q$$ and $$- q$$ are placed at the corners of a square of side $$2L$$ (see figure). The electric potential at point $$A$$, mid-way between the two charges $$+ q$$ and $$+ q$$ is:

1. $$\frac{1}{4 \pi\varepsilon_{0}} \frac{2 q}{L} \left(1 + \frac{1}{\sqrt{5}}\right)$$
2. $$\frac{1}{4 \pi\varepsilon_{0}} \frac{2 q}{L} \left(1 - \frac{1}{\sqrt{5}}\right)$$
3. zero
4. $$\frac{1}{4 \pi \varepsilon_{0}} \frac{2 q}{L} \left(1 + \sqrt{5}\right)$$

Subtopic:  Electric Potential |
73%
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 $$\mathrm{a = d < b < c}$$ 2 $$\mathrm{b = d < c < a}$$ 3 $$\mathrm{b = c < a < d}$$ 4 $$\mathrm{c < a < b < d}$$
Subtopic:  Electric Potential |
77%
From NCERT
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