# $$A$$, $$B$$ and $$C$$ are three points in a uniform electric field. The electric potential is:        1.  maximum at $$B$$ 2.  maximum at $$C$$ 3.  same at all the three points $$A, B$$ and $$C$$ 4.  maximum at $$A$$

Subtopic:  Relation between Field & Potential |
84%
From NCERT
AIPMT - 2013
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An electric dipole of moment $$p$$ is placed in an electric field of intensity $$E.$$ The dipole acquires a position such that the axis of the dipole makes an angle $$\theta$$ with the direction of the field. Assuming that the potential energy of the dipole to be zero when $$\theta = 90^{\circ}$$, the torque and the potential energy of the dipole will respectively be:
1. $$pE\text{sin}\theta, ~-pE\text{cos}\theta$$
2. $$pE\text{sin}\theta, ~-2pE\text{cos}\theta$$
3. $$pE\text{sin}\theta, ~2pE\text{cos}\theta$$
4. $$pE\text{cos}\theta, ~-pE\text{sin}\theta$$

Subtopic:  Energy of Dipole in an External Field |
81%
From NCERT
AIPMT - 2012
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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 |
76%
From NCERT
AIPMT - 2012
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A parallel plate condenser has a uniform electric field $$E$$ (V/m) in the space between the plates. If the distance between the plates is $$d$$ (m) and the area of each plate is $$A$$ (m2), the energy (joule) stored in the condenser is:
1. $$\frac{1}{2}\varepsilon_0{E}^2$$
2. $$\frac{{E}^2 {Ad}}{\varepsilon_0}$$
3. $$\frac{1}{2}\varepsilon_0 E^2 Ad$$
4. $$\varepsilon_0 EAd$$

Subtopic:  Energy stored in Capacitor |
90%
From NCERT
NEET - 2021
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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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A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4V. When another parallel combination of n2 capacitors, each of value C2, is charged by a source of potential difference V, it has the same (total) energy stored in it, as the first combination has. The value of C2, in terms of C1, is then:

1. $\frac{2{C}_{1}}{{n}_{1}{n}_{2}}$

2. $16\frac{{n}_{2}}{{n}_{1}}{C}_{1}$

3. $2\frac{{n}_{2}}{{n}_{1}}{C}_{1}$

4. $\frac{16{C}_{1}}{{n}_{1}{n}_{2}}$

Subtopic:  Energy stored in Capacitor |
73%
From NCERT
AIPMT - 2010
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Three concentric spherical shells have radii $$a,b, ~\text{and}~c$$ $$(a<b<c)$$ and have surface charge densities $$\sigma, -\sigma, ~\text{and}~\sigma$$ respectively. If $$V_A, V_B~\text{and}~V_C$$ 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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Three capacitors each of capacitance $$C$$ and of breakdown voltage $$V$$ are joined in series. The capacitance and breakdown voltage of the combination will be:
1. $\frac{C}{3},$ $\frac{V}{3}$

2. $3C,$ $\frac{V}{3}$

3. $\frac{C}{3},$ $3V$

4. $$3C,~3V$$

Subtopic:  Combination of Capacitors |
81%
From NCERT
AIPMT - 2009
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The electric potential at a point in free space due to a charge $$Q$$ coulomb is $$Q\times10^{11}~\text{V}$$. The electric field at that point is:
1. $$4\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}$$
2. $$12\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}$$
3. $$4\pi \varepsilon_0 Q\times 10^{20}~\text{V/m}$$
4. $$12\pi \varepsilon_0 Q\times 10^{22}~\text{V/m}$$

Subtopic:  Relation between Field & Potential |
72%
From NCERT
AIPMT - 2008
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The energy required to charge a parallel plate condenser of plate separation, $$d$$ and plate area of cross-section, $$A$$ such that the uniform electric field between the plates is $$E,$$ is:
1. $\frac{1}{2}$ ${\mathrm{\epsilon }}_{0}{\mathrm{E}}^{2}/\mathrm{Ad}$

2. ${\mathrm{\epsilon }}_{0}{\mathrm{E}}^{2}/\mathrm{Ad}$

3. ${\mathrm{\epsilon }}_{0}{\mathrm{E}}^{2}\mathrm{Ad}$

4. $\frac{1}{2}$ ${\mathrm{\epsilon }}_{0}{\mathrm{E}}^{2}\mathrm{Ad}$

Subtopic:  Capacitance |
From NCERT
AIPMT - 2008
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