A conducting sphere of the radius $$R$$ is given a charge $$Q.$$ The electric potential and the electric field at the centre of the sphere respectively are:

 1 zero and $$\frac{Q}{4 \pi \varepsilon_0 {R}^2}$$ 2 $$\frac{Q}{4 \pi \varepsilon_0 R}$$ and zero 3 $$\frac{Q}{4 \pi \varepsilon_0 R}$$ and $$\frac{Q}{4 \pi \varepsilon_0{R}^2}$$ 4 both are zero
Subtopic:  Electric Potential |
83%
From NCERT
AIPMT - 2014
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NEET 2023 - Target Batch - Aryan Raj Singh
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NEET 2023 - Target Batch - Aryan Raj Singh

Four-point charges $$-Q, -q, 2q~\text{and}~2Q$$ are placed, one at each corner of the square. The relation between $$Q$$ and $$q$$ for which the potential at the center of the square is zero is:

 1 $$Q= -q$$ 2 $$Q= -2q$$ 3 $$Q= q$$ 4 $$Q= 2q$$
Subtopic:  Electric Potential |
75%
From NCERT
AIPMT - 2012
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NEET 2023 - Target Batch - Aryan Raj Singh
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NEET 2023 - Target Batch - Aryan Raj Singh

Two metallic spheres of radii $$1~\text{cm}$$ and $$3~\text{cm}$$ are given charges of $$-1\times 10^{-2}~\text{C}$$ and $$5\times 10^{-2} ~\text{C}$$, respectively. If these are connected by a conducting wire, then the final charge on the bigger sphere is:
1. $$3\times 10^{-2}~ \text{C}$$
2. $$4\times 10^{-2}~\text{C}$$
3. $$1\times 10^{-2}~\text{C}$$
4. $$2\times 10^{-2}~\text{C}$$

Subtopic:  Electric Potential |
64%
From NCERT
AIPMT - 2012
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NEET 2023 - Target Batch - Aryan Raj Singh

Four electric charges $$+\mathrm q,$$ $$+\mathrm q,$$ $$-\mathrm q$$ and $$-\mathrm q$$ are placed at the corners of a square of side $$2\mathrm{L}$$ (see figure). The electric potential at point A, mid-way between the two charges $$+\mathrm q$$ and $$+\mathrm q$$ is:

1.  $\frac{1}{4{\mathrm{\pi \epsilon }}_{0}}\frac{2\mathrm{q}}{\mathrm{L}}\left(1+\frac{1}{\sqrt{5}}\right)$

2.  $\frac{1}{4{\mathrm{\pi \epsilon }}_{0}}\frac{2\mathrm{q}}{\mathrm{L}}\left(1-\frac{1}{\sqrt{5}}\right)$

3.  zero

4.  $\frac{1}{4{\mathrm{\pi \epsilon }}_{0}}\frac{2\mathrm{q}}{\mathrm{L}}\left(1+\sqrt{5}\right)$

Subtopic:  Electric Potential |
73%
From NCERT
AIPMT - 2011
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NEET 2023 - Target Batch - Aryan Raj Singh
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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 |
82%
From NCERT
AIPMT - 2011
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NEET 2023 - Target Batch - Aryan Raj Singh
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NEET 2023 - Target Batch - Aryan Raj Singh

Three concentric spherical shells have radii a, b, and c (a<b<c) and have surface charge densities $\mathrm{\sigma },$ $-\mathrm{\sigma }$, and $\mathrm{\sigma }$ respectively. If ${\mathrm{V}}_{\mathrm{A}},$ ${\mathrm{V}}_{\mathrm{B}}$, and ${\mathrm{V}}_{\mathrm{C}}$ denote the potential of the three shells, and c=a+b, it can be concluded that:

 1 $$\mathrm{V}_{\mathrm{C}}=\mathrm{V}_{\mathrm{A}} \neq \mathrm{V}_{\mathrm{B}}$$ 2 $$\mathrm{V}_{\mathrm{C}}=\mathrm{V}_B \neq \mathrm{V}_{\mathrm{A}}$$ 3 $$\mathrm{V}_{\mathrm{C}} \neq \mathrm{V}_B \neq \mathrm{V}_A$$ 4 $$\mathrm{V}_{\mathrm{C}}=\mathrm{V}_B=\mathrm{V}_A$$

Subtopic:  Electric Potential |
From NCERT
AIPMT - 2009
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NEET 2023 - Target Batch - Aryan Raj Singh
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