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 |
 76%
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 |
 75%
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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