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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The energy and capacity of a charged parallel plate capacitor are $$E$$ and $$C$$ respectively. If a dielectric slab of ${}_{}$$$E_r=6$$ is inserted in it, then the energy and capacity become:
(Assuming the charge on plates remains constant)

 1 $$6 \mathrm E,~6 \mathrm C$$ 2 $$\mathrm E,~ \mathrm C$$ 3 $${E \over 6},~6 \mathrm C$$ 4 $$\mathrm E,~6 \mathrm C$$
Subtopic:  Energy stored in Capacitor |
75%
From NCERT
AIPMT - 1999
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A capacitor is charged with a battery and energy stored is U. After disconnecting the battery another capacitor of the same capacity is connected in parallel with it. The energy stored in each capacitor is:

1. U/2

2. U/4

3. 4 U

4. 2 U

Subtopic:  Electric Potential Energy |
53%
From NCERT
AIPMT - 2000
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Energy per unit volume for a capacitor having area $$A$$ and separation $$d$$ kept at a potential difference $$V$$ is given by:
1. $$\frac{1}{2}\varepsilon_0\frac{V^2}{d^2}$$
2. $$\frac{1}{2}\frac{V^2}{\varepsilon_0d^2}$$
3. $$\frac{1}{2}CV^2$$
4. $$\frac{Q^2}{2C}$$

Subtopic:  Energy stored in Capacitor |
81%
From NCERT
AIPMT - 2001
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Some charge is being given to a conductor. Then it's potential:

 1 is maximum at the surface. 2 is maximum at the centre. 3 remains the same throughout the conductor. 4 is maximum somewhere between the surface and the centre.

Subtopic:  Electrostatic Shielding |
74%
From NCERT
AIPMT - 2002
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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 |
78%
From NCERT
AIPMT - 2002
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If identical charges (–q) are placed at each corner of a cube of side 'b' then the electrical potential energy of charge (+q) which is placed at centre of the cube will be:

1. $\frac{-4\sqrt{2}{\mathrm{q}}^{2}}{{\mathrm{\pi \epsilon }}_{0}\mathrm{b}}$

2. $\frac{-8\sqrt{2}{\mathrm{q}}^{2}}{{\mathrm{\pi \epsilon }}_{0}\mathrm{b}}$

3. $\frac{-4{\mathrm{q}}^{2}}{\sqrt{3}{\mathrm{\pi \epsilon }}_{0}\mathrm{b}}$

4. $\frac{8\sqrt{2}{\mathrm{q}}^{2}}{4{\mathrm{\pi \epsilon }}_{0}\mathrm{b}}$

Subtopic:  Electric Potential Energy |
63%
From NCERT
AIPMT - 2002
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Three capacitors each of capacity $$4$$ µF are to be connected in such a way that the effective capacitance is $$6$$ µF. This can be done by:

 1 connecting all of them in a series. 2 connecting them in parallel. 3 connecting two in series and one in parallel. 4 connecting two in parallel and one in series.

Subtopic:  Combination of Capacitors |
89%
From NCERT
AIPMT - 2003
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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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