# 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 $\frac{{q}_{3}}{4\pi {\epsilon }_{0}}k$, where k is:       1. 8q2 2. 8q1 3 6q2 4. 6q1

Subtopic:  Electric Potential Energy |
66%
From NCERT
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If the dielectric constant and dielectric strength be denoted by k and x respectively, then a material suitable for use as a dielectric in a capacitor must have:

1. high k and high x.

2. high k and low x.

3. low k and low x.

4. low k and high x.

Subtopic:  Dielectrics in Capacitors |
56%
From NCERT
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Three capacitors of capacitances 3 μF, 9 μF and 18 μF are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases $\left(\frac{{C}_{s}}{{C}_{p}}\right)$ will be:

1. 1 : 15

2. 15 : 1

3. 1 : 1

4. 1 : 3

Subtopic:  Combination of Capacitors |
87%
From NCERT
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Four capacitors each of capacity 3 μF are connected as shown in the adjoining figure. The ratio of equivalent capacitance between A and B and between A and C will be:

1. 4: 3

2. 3: 4

3. 2: 3

4. 3: 2

Subtopic:  Combination of Capacitors |
69%
From NCERT
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A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is A metre2 and the separation is t metre. The dielectric constants are k1 and k2 respectively. Its capacitance in farad will be:

1. $\frac{{\epsilon }_{0}A}{t}\left({k}_{1}+{k}_{2}\right)$

2. $\frac{{\epsilon }_{0}A}{t}.\frac{{k}_{1}+{k}_{2}}{2}$

3. $\frac{2{\epsilon }_{0}A}{t}\left({k}_{1}+{k}_{2}\right)$

4. $\frac{{\epsilon }_{0}A}{t}.\frac{{k}_{1}-{k}_{2}}{2}$

Subtopic:  Dielectrics in Capacitors |
61%
From NCERT
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In the connections shown in the adjoining figure, the equivalent capacity between A and B will be:

1. 10.8 μF

2. 69 μF

3. 15 μF

4. 10 μF

Subtopic:  Combination of Capacitors |
72%
From NCERT
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The diagrams below show regions of equipotentials.

A positive charge is moved from A to B in each diagram. Then:

 1 the maximum work is required to move q in figure(iii). 2 in all four cases, the work done is the same. 3 the minimum work is required to move q in the figure(i). 4 the maximum work is required to move q in figure(ii).
Subtopic:  Equipotential Surfaces |
90%
From NCERT
NEET - 2017
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A capacitor of 2 $\mu F$ is charged as shown in the figure. When the switch S is turned to position 2, the percentage of its stored energy dissipated is:

 1 20% 2 75% 3 80% 4 0%
Subtopic:  Energy stored in Capacitor |
63%
From NCERT
NEET - 2016
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A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?

 1 The potential difference between the plates decreases K times 2 The energy stored in the capacitor decreases K times 3 The change in energy stored is $${1 \over 2} CV^{2}(\frac{1}{K}-1)$$ 4 The charge on the capacitor is not conserved

Subtopic:  Energy stored in Capacitor |
70%
From NCERT
NEET - 2015
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$$\mathrm{A}$$, $$\mathrm{B}$$ and $$\mathrm{C}$$ are three points in a uniform electric field. The electric potential is:

 1 maximum at $$\mathrm{A}$$ 2 maximum at $$\mathrm{B}$$ 3 maximum at $$\mathrm{C}$$ 4 same at all the three points $$\mathrm{A},\mathrm{B} ~\text{and}~\mathrm{C}$$
Subtopic:  Relation between Field & Potential |
82%
From NCERT
NEET - 2013
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