Capacitors and Dielectrics Nootan Solutions ISC Physics Class-12 Nageen Prakashan Chapter-4 Solved Numericals. Step by step Solutions of Kumar and Mittal ISC Physics Class-12 Nageen Prakashan Numerical Questions. Visit official Website CISCE for detail information about ISC Board Class-12 Physics

## Capacitors and Dielectrics Nootan Solutions ISC Physics Class-12 Nageen Prakashan Chapter-4 Solved Numericals of Kumar and Mittal

 Class: 12 Subject: Physics Chapter 3: Capacitors and Dielectrics
 Board ISC Writer /Publications Nootan / Nageen Prakashan / Kumar and Mittal Topics Solved Numericals of page 163 , 164,165, 166

### What is a Capacitor?

The capacitor is a device in which electrical energy can be stored. It is an arrangement of two-conductor generally carrying charges of equal magnitudes and opposite sign and separated by an insulating medium. The non-conductive region can either be an electric insulator or vacuum such as glass, paper, air or semi-conductor called as a dielectric.

Capacitor vary in shape and size, they have many important applications in electronics.

### What are Capacitors Used For?

• Storing electric potential energy such as batteries.
• Filtering out unwanted frequency signals
• Delaying voltage changes when coupled with resistors.
• Used as a sensing device.
• Also Used in the audio system of the vehicle.
• and Used to separate AC and DC.

### Charge on Capacitor

Note: Charge on the capacitor is Q.

Total charge/ the net charge on the capacitor is –Q + Q = 0.

## Capacitance

The charge on the capacitor (Q) is directly proportional to the potential difference (V) between the plates i.e. Q\alpha V or Q = CV

The constant of proportionality (C) is termed as the capacitance of the capacitor.

### Dimensional Formula and Unit of Capacitance

• Unit of Capacitance: Farad (F)

The capacitor value can vary from a fraction of pico-farad to more than a micro Farad. Voltage level can range from a couple to a substantial couple of hundred thousand volts

### Factors Affecting the Capacitance

Capacitance depends on the following factor:

1. Shape and size of the conductor
2. Medium between them
3. Presence of other conductors near it.

### Calculation of Capacitance

We will try to calculate the capacitance of differently shaped capacitors, the steps are followed;

1. Assume the charge on the conductors(Q)
2. Calculate the electric field between the plates (E)
3. Calculate potential difference from electric field(V)

#### Types of Capacitor

• Parallel Plate Capacitor
• Spherical capacitor
• Cylindrical capacitor

### Solved Numericals of Capacitors and Dielectrics Nootan Solutions, Nageen Prakashan Kumar and Mittal

( Page – 163 )

#### Question 1

A Capacitor  …………………the Capacitor .

#### Question 2

The Capacitor ………………… diameter ?

( Page -164 )

#### Question 3

A PD ………………..each plate .

#### Question 4

What distance………………….a = 0.5 m ?

#### Question 5

An air …………………………..Capacitor ?

#### Question 6

The area …………………constant .

#### Question 7

How much ……………………….0.025 mm ?

Question 8

We have ……………….Capacitance ?

#### Question 9

The potential ……………… same Charge ?

#### Question 10

A paper……………………….Capacitor ?

#### Question 11

When a ……………………..Capacitor ?

Question 12

(a) A parallel …………………… find .

(i)…………….

(ii)…………….

(iii)……………..

(b)………………

#### Question 13

(a) A parallel …………………to 400 V .

(b) ……………………..

#### Question 14

A parallel …………..stored energy ?

#### Question 15

A 16 …………………plates ?

#### Question 16

A 6 ……………………….energy .

#### Question 17

The capacitance …………….. …..energy – change .

#### Question 18

The capacitance……………………neglected .

#### Question 19

Three equal …………….series . find

(a)…………

(b)……………

#### Question 20

Three capacitors ……………………..100 V supply .

#### Question 21

Two capacitors……………………………..Capacitance ?

( Page -165 )

#### Question 22

How and ………………..of 75 microC .

Question 23

We have ………………..them ?

#### Question 24

Three equal ………………………..series ?

#### Question 25

Two parallel ……………………….capacitors .

#### Question 26

A 0.2 ……………………………… Potential ?

Question 27

A 80 ………………………….capacitor .

#### Question 28

Two capacitor ……………………..find .

(i)…………………….

(ii)……………………

#### Question 29

A 2 ……………………..in it ?

Question 30

Three are …………………….stored .

#### Question 31

Four capacitor…………………capacitor ?

#### Question 32

A potential ……………………capacitors .

#### Question 33

Two capacitors………………………..capacitor ?

#### Question 34

Two capacitors ………………………… capacitor .

#### Question 35

A 600 pF …………………….energy go ?

#### Question 37

A 100 pF …………………to it ?

#### Question 38

An electronic ……………………… in a flash ?

#### Question 39

Three …………………….. combination .

#### Question 40

In the given ………….each capacitor .

( Page – 166 )

#### Question 41

Calculate ………………………..is 30 ………….   .

#### Question 42

Calculate ……………………….combination .

#### Question 43

In the given …………………….. capacitance .

#### Question 44

Calculate …………………………… closest to ?

#### Question 45

Find the ……………………… given circuit .

#### Question 46

Four capacitors ……………..A and C  ?

#### Question 47

A parallel plate ……………………….Capacitance ………….. .

#### Question 48

As shown in ……………………… Capacitance ?

#### Question 49

In a camera – flash …………………………..of the flash .

— End of Capacitors and Dielectrics Nootan Solutions of Numericals :–

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