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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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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Two charges q1 and q2 are placed 30 cm apart, as shown in the figure. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is q34π0k , where k is:

.

1. 8q2

2. 6q2

3. 8q1

4. 6q1

Subtopic:  Electric Potential Energy |
 65%
From NCERT
AIPMT - 2005
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As per this diagram, a point charge \(+q\) is placed at the origin \(O.\) Work done in taking another point charge \(-Q\) from the point \(A,\) coordinates \((0,a),\) to another point \(B,\) coordinates \((a,0),\) along the straight path \(AB\) is:

1. \( \left(\dfrac{-{qQ}}{4 \pi \varepsilon_0} \dfrac{1}{{a}^2}\right) \sqrt{2} {a}\) 2. zero
3. \( \left(\dfrac{qQ}{4 \pi \varepsilon_0} \dfrac{1}{{a}^2}\right) \dfrac{1}{\sqrt{2}} \) 4. \( \left(\dfrac{{qQ}}{4 \pi \varepsilon_0} \dfrac{1}{{a}^2}\right) \sqrt{2} {a}\)
Subtopic:  Electric Potential Energy |
 85%
From NCERT
AIPMT - 2005
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