# 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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The electric potential V at any point (x, y, z), all in meters in space is given by V = volt. The electric field at the point (1, 0, 2) in volt/meter, is:

 1 8 along the negative X-axis 2 8 along the positive X-axis 3 16 along the negative X-axis 4 16 along the positive X-axis

Subtopic:  Relation between Field & Potential |
77%
From NCERT
AIPMT - 2011
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The effective capacity of the network between terminals $$\mathrm{A}$$ and $$\mathrm{B}$$ is:

1. $$6~\mu\text{F}~$$
2. $$20~\mu\text{F} ~$$
3. $$3~\mu\text{F}~$$
4. $$10~\mu\text{F}$$

Subtopic:  Combination of Capacitors |
90%
From NCERT
AIPMT - 1999
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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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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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A capacitor of capacity C1 is charged up to V volt and then connected to an uncharged capacitor C2. Then final P.D. across each will be:

1. $\frac{{\mathrm{C}}_{2}\mathrm{V}}{{\mathrm{C}}_{1}+{\mathrm{C}}_{2}}$

2. $\frac{{\mathrm{C}}_{1}\mathrm{V}}{{\mathrm{C}}_{1}+{\mathrm{C}}_{2}}$

3. $\left(1+\frac{{\mathrm{C}}_{2}}{{\mathrm{C}}_{1}}\right)$

4. $\left(1-\frac{{\mathrm{C}}_{2}}{{\mathrm{C}}_{1}}\right)\mathrm{V}$

Subtopic:  Combination of Capacitors |
79%
From NCERT
AIPMT - 2002
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The variation of electrostatic potential with radial distance $$r$$ from the centre of a positively charged metallic thin shell of radius $$R$$ is given by the graph:

 1 2 3 4
Subtopic:  Electric Potential |
71%
From NCERT
NEET - 2020
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Consider a uniform electric field in the Z-direction. The potential is constant:

 a. in all space b. for any x for a given z c. for any y for a given z d. on the x-y plane for a given z

1.  (a, b, c)
2.  (a, c, d)
3.  (b, c, d)
4.  (c, d)

Subtopic:  Equipotential Surfaces |
78%
From NCERT
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A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness d1 and dielectric constant K1 and the other has thickness d2 and dielectric constant K2, as shown in the figure. This arrangement can be thought of as a dielectric slab of thickness d = d1 + d2 and effective dielectric constant K. K is:

 1 $$\frac{\mathrm{K}_{1} \mathrm{~d}_{1}+\mathrm{K}_{2} \mathrm{~d}_{2}}{\mathrm{~d}_{1}+\mathrm{d}_{1}}$$ 2 $$\frac{\mathrm{K}_{1} \mathrm{~d}_{1}+\mathrm{K}_{2} \mathrm{~d}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}$$ 3 $$\frac{\mathrm{K}_{1} \mathrm{~K}_{2}\left(\mathrm{~d}_{1}+\mathrm{d}_{2}\right)}{\mathrm{K}_{1} \mathrm{~d}_{2}+\mathrm{K}_{2} \mathrm{~d}_{1}}$$ 4 $$\frac{2 \mathrm{~K}_{1} \mathrm{~K}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}$$
Subtopic:  Dielectrics in Capacitors |
67%
From NCERT
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In a region of constant potential:

 a. the electric field is uniform b. the electric field is zero c. there can be no charge inside the region d. the electric field shall necessarily change if a charge is placed outside the region

Choose the correct statement(s):
1. b and c
2. a and c
3. b and d
4. c and d

Subtopic:  Relation between Field & Potential |
55%
From NCERT
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