A parallel plate air capacitor has a capacitance of 100 μF. The plates are at a distance d apart. If a slab of thickness t(td) and dielectric constant 5 is introduced between the parallel plates, then the capacitance will be 

(1) 50 μμF

(2) 100 μμF

(3) 200 μμF

(4) 500 μμF

Subtopic:  Dielectrics in Capacitors |
From NCERT
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Capacitance of a capacitor made by a thin metal foil is 2 μF. If the foil is folded with paper of thickness 0.15 mm, dielectric constant of paper is 2.5 and width of paper is 400 mm, then length of foil will be 

(1) 0.34 m

(2) 1.33 m

(3) 13.4 m

(4) 33.9 m

Subtopic:  Dielectrics in Capacitors |
From NCERT
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A parallel plate capacitor is connected to a battery. The plates are pulled apart with a uniform speed. If x is the separation between the plates, the time rate of change of electrostatic energy of the capacitor is proportional to:

(1) x–2

(2) x

(3) x–1

(4) x2

Subtopic:  Energy stored in Capacitor |
From NCERT
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To form a composite 16 μF, 1000 V capacitor from a supply of identical capacitors marked 8 μF, 250 V, we require a minimum number of capacitors

1. 40

2. 32

3. 8

4. 2

Subtopic:  Combination of Capacitors |
 62%
From NCERT
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Figure given below shows two identical parallel plate capacitors connected to a battery with switch S closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant 3. What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric 

(1) 3 : 1

(2) 5 : 1

(3) 3 : 5

(4) 5 : 3

Subtopic:  Energy stored in Capacitor |
From NCERT
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A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance 2C is connected to another battery and is charged to potential difference 2V. The charging batteries are now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is?

1. Zero

2. 25CV26

3. 3CV22

4. 9CV22

Subtopic:  Energy stored in Capacitor |
 54%
From NCERT
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Condenser A has a capacity of 15 μF when it is filled with a medium of dielectric constant 15. Another condenser B has a capacity of 1 μF with air between the plates. Both are charged separately by a battery of 100 V. After charging, both are connected in parallel without the battery and the dielectric medium being removed. The common potential now is 

(1) 400 V

(2) 800 V

(3) 1200 V

(4) 1600 V

Subtopic:  Capacitance |
 65%
From NCERT
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Four metallic plates each with a surface area of one side A are placed at a distance d from each other. The plates are connected as shown in the circuit diagram. Then the capacitance of the system between a and b is

(1) 3ε0Ad

(2) 2ε0Ad

(3) 2ε0A3d

(4) 3ε0A2d

Subtopic:  Combination of Capacitors |
 56%
From NCERT
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In the given circuit if point C is connected to the earth and a potential of +2000 V is given to the point A, the potential at B is 

(1) 1500 V

(2) 1000 V

(3) 500 V

(4) 400 V

Subtopic:  Combination of Capacitors |
 65%
From NCERT
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A finite ladder is constructed by connecting several sections of 2 μF, 4 μF capacitor combinations as shown in the figure. It is terminated by a capacitor of capacitance C. What value should be chosen for C such that the equivalent capacitance of the ladder between the points A and B becomes independent of the number of sections in between 

(1) 4 μF

(2) 2 μF

(3) 18 μF

(4) 6 μF

Subtopic:  Combination of Capacitors |
 53%
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