Three capacitors of capacitances \(2\) pF, \(3\) pF, and \(4\) pF are connected in parallel. The charge on the \(4\) pF capacitor, if the combination is connected to a \(100\) V supply, is:
1.\(4\times10^{-10}\) C
2. \(3\times10^{-9}\) C
3. \(2\times10^{-10}\) C
4. \(1\times10^{-9}\) C

Subtopic:  Combination of Capacitors |
 81%
From NCERT
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In a parallel plate capacitor with air between the plates, each plate has an area of \(6\times10^{-3}~\text{m}^2\), and the distance between the plates is \(3~\text{mm}\). The capacitance of the capacitor is:
1. \(16.12~\text{pF}\)
2. \(17.71~\text{pF}\)
3. \(15.01~\text{pF}\)
4. \(11.32~\text{pF}\)

Subtopic:  Capacitance |
 83%
From NCERT
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A \(12\) pF capacitor is connected to a \(50\) V battery. How much electrostatic energy is stored in the capacitor?
1. \(3.1\times10^{-8}\) J
2. \(2.9\times10^{-8}\) J
3. \(3.3\times10^{-8}\) J
4. \(1.5\times10^{-8}\) J

Subtopic:  Energy stored in Capacitor |
 82%
From NCERT
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Two tiny spheres carrying charges of \(1.5\) µC and \(2.5\) µC are located \(30\) cm apart. What is the potential at a point \(10\) cm from the midpoint in a plane normal to the line and passing through the mid-point?
1. \(1.5\times 10^{5}\) V
2. \(1.0\times 10^{5}\) V
3. \(2.4\times 10^{5}\) V
4. \(2.0\times 10^{5}\) V

Subtopic:  Electric Potential |
From NCERT
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Three capacitors connected in series have a capacitance of \(9\) pF each. The potential difference across each capacitor if the combination is connected to a \(120\) V supply is:
1. \(10\) V
2. \(20\) V
3. \(30\) V
4. \(40\) V

Subtopic:  Capacitance |
 81%
From NCERT
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In a certain region of space with volume \(0.2\) m3, the electric potential is found to be \(5\) V throughout. The magnitude of electric field in this region is:
1. \(0.5\) N/C
2. \(1\) N/C
3. \(5\) N/C
4. zero

Subtopic:  Relation between Field & Potential |
 75%
From NCERT
NEET - 2020
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Consider a uniform electric field in the \(\mathrm{z}\)-direction. The potential is a constant:

a. in all space.
b. for any \(\mathrm{x}\) for a given \(\mathrm{z}.\)
c. for any \(\mathrm{y}\) for a given \(\mathrm{z}.\)
d. on the \(\mathrm{x-y}\) plane for a given \(\mathrm{z}.\)

Choose the correct option:

1. (c), (d)
2. (a), (c)
3. (b), (c), (d)
4. (a), (b)
Subtopic:  Relation between Field & Potential |
 85%
From NCERT
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The electrostatic potential on the surface of a charged conducting sphere is \(100~\text{V}\). Two statements are made in this regard.

Statement I: At any point inside the sphere, electric intensity is zero.
Statement II: At any point inside the sphere, the electrostatic potential is \(100~\text{V}\).


Which of the following is a correct statement?

1. Statement I is true but Statement II is false.
2. Both Statement I and Statement II are false.
3. Statement I is true, Statement II is also true and Statement I is the cause of Statement II.
4. Statement I is true, Statement II is also true but the statements are independent.


 

Subtopic:  Electrostatic Shielding |
 59%
From NCERT
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As per this diagram, a point charge \(\mathrm{+q}\) is placed at the origin \(\mathrm{O}.\) Work done in taking another point charge \(\mathrm{-Q}\) from the point \(\mathrm{A},\) coordinates \((\mathrm{0,a}),\) to another point \(\mathrm{B},\) coordinates \((\mathrm{a,0}),\) along the straight path \(\mathrm{AB}\) is:

      

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