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 $$6 E,6 C$$ 2 $$E,C$$ 3 $$\frac{E}{6},6C$$ 4 $$E,6C$$
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 $$\dfrac{U}{2}$$ 2 $$\dfrac{U}{4}$$ 3 $$4U$$ 4 $$2U$$
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 $$C_1$$ is charged up to $$V$$ volt and then connected to an uncharged capacitor $$C_2$$. Then final P.D. across each will be:
1. $$\frac{C_{2} V}{C_{1} + C_{2}}$$
2. $$\frac{C_{1} V}{C_{1} + C_{2}}$$
3. $$\left(1 + \frac{C_{2}}{C_{1}}\right)$$
4. $$\left(1 - \frac{C_{2}}{C_{1}} \right) V$$

Subtopic:  Combination of Capacitors |
79%
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 $$\dfrac{- 4 \sqrt{2} q^{2}}{\pi\varepsilon_{0} b}$$ 2 $$\dfrac{- 8 \sqrt{2} q^{2}}{\pi\varepsilon_{0} b}$$ 3 $$\dfrac{- 4 q^{2}}{\sqrt{3} \pi\varepsilon_{0} b}$$ 4 $$\dfrac{8 \sqrt{2} q^{2}}{4 \pi\varepsilon_{0} b}$$
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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