Nootan Solutions Electric Potential Energy ISC Physics Class-12 Nageen Prakashan

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Nootan Solutions Electric Potential Energy ISC Physics Class-12 Nageen Prakashan Chapter-3 Solved Numericals. Step by step Solutions of Kumar and Mittal ISC Physics Class-12 Nageen Prakashan Numericsls Questions. Visit official Website CISCE for detail information about ISC Board Class-12 Physics

Nootan Solutions Electric Potential Energy ISC Physics Class-12 Nageen Prakashan Chapter-3, Solved Numericals of Kumar and Mittal


Class: 12
Subject: Physics
Chapter 3:  Electric Potential and Potential Energy
Board ISC
Writer /Publications Nootan / Nageen Prakashan/Kumar and Mittal
Topics Solved Numericals of page 110 , 111,112

Definition

Electric potential energy is posses by an object by the virtue of two elements, those being, the charge possessed by an object itself and the relative position of an object with respect to other electrically charged objects. The magnitude of electric potential depends on the amount of work done in moving the object from one point to another against the electric field

When an object is moved against the electric field it gains some amount of energy which is defined as the electric potential energy. For any charge, the electric potential is obtained by dividing the potential energy by the quantity of charge

There are two key elements on which the electric potential energy of an object depends.

  • Its own electric charge,
  • Its relative position with other electrically charged objects.

Electric Potential Formula:

A charge placed in an electric field possesses potential energy and is measured by the work done in moving the charge from infinity to that point against the electric field. If two charges q1 and q2 are separated by a distance d, the electric potential energy of the system is;

U = 1/(4πεo) × [q1q2/d]


Electric Potential Derivation

Let us consider a charge q1. Let us say, they are placed at a distance ‘r’ from each other. The total electric potential of the charge is defined as the total work done by an external force in bringing the charge from infinity to the given point.

We can write it as, -∫ (ra→rb) F.dr = – (Ua – Ub)

Here, we see that the point ris present at infinity and the point ris r.

Substituting the values we can write, -∫ (r →∞) F.dr = – (Ur – U)

As we know that Uinfity is equal to zero.

Therefore, -∫ (r →∞) F.dr = -UR

Using Coulomb’s law, between the two charges we can write:

⇒ -∫ (r →∞) [-kqqo]/r2 dr = -UR

Or, -k × qqo × [1/r] = UR

Therefore, UR = -kqqo/r


Electric Potential of a Point Charge

Let us consider a point charge ‘q’ in the presence of another charge ‘Q’ with infinite separation between them.

U(r) = k× [qQ/r]

where, ke = 1/4πεo = Coloumb’s constant

Let us consider a point charge ‘q’ in the presence of several point charges Qi with infinite separation between them.

U(r) = kq × ∑ni = 1  [Q/ri]


Important Points

  • At a point midway between two equal and opposite charges, the electric potential is zero but the electric field is not zero.
  • The electric potential at a point is said to be one volt if one joule of work is done in moving one Coloumb of the charge against the electric field.
  • If a negative charge is moved from point A to B. The electric potential of system increases.
  • The reference level used to define electric potential at a point is infinity. It signifies that the force on a test charge is zero at the reference level.
  • The surface of the earth is taken to be at zero potential since the earth is so huge that addition or removal of charge from it will not alter its electrical state.

What is Electric Potential Difference?

In an electrical circuit, the potential between two points (E) is defined as the amount of work done (W) by an external agent in moving a unit charge (Q) from one point to another.

Mathematically we can say that,

E = W/Q

Where,

  • E = Electrical potential difference between two points,
  • W = Work done in moving a change from one point to another,
  • Q = Quantity of charge in coulombs.

 

Solved Numericals of Electric Potential and Potential Energy Nootan Solutions, Nageen Prakashan Kumar and Mittal

(page-110)

Question 1

The amount ………….at the point .

Answer

Ans 1 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 2

How much………….. is 4 v ?

Answer

Ans 2 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 3

5 J work………………… the Points .

Answer

Ans 3 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 4

Compute electric…………..charge of ……… .

Answer

Ans 4 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 5

A wire …….. at its center .

Answer

Ans 5 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 6

Calculate in …………………. A to B , ( OA = 0.10 m ,………)

Answer

Ans 6 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 7

A charge A ……………..From D to C ?

Answer

Ans 7 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 8

Two charges ………………………….the Charges .

Answer

Ans 8 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 9

The Potential …………distance of 0.4 m?

Answer

Ans 9 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 10

The electric ……………of the charges .

Answer

Ans 10 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 11

A point ………………… the point x …………..

Answer

Ans 11 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 12

At each corner ……………………18 cm ?

Answer

Ans 12 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 13

Electric charges …………………. of the square .

Answer

Ans 13 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 14

10 J of …………………A and B ?

Answer

Ans 14 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 15

……….. J of work ……………….the electric field .

Answer

Ans 15 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 16

Two plane …………… two plates .

Answer

Ans 16 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12


(page-111)

Question 17

The distance between ……………..to the order .

Answer

Ans 17 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 18

How much kinetic ……………………answer in joule .

Answer

Ans 18 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 19

An ..particle ……………………..J

(i)

(ii)

(iii)

Answer

Ans 19 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 20

The mutual …………… the protons .

Answer

Ans 20 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 21

An electron ………….same radius .

Answer

Ans 21 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 22

Three point  ………….of the System .

Answer

Ans 22 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 23

Three equal …………….. of charges .

Answer

Ans 23 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 24

Two positive …………….. by 2 cm .

Answer

Ans 24 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 25

(i)…………

(ii)………….

Answer

Ans 25 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 26

The distance between ……………..kinetic Energy ?

Answer

Ans 26 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 27

Two electrons ………………between them ?

Answer

Ans 27 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 28

Two point ………….equilibrium position .

Answer

Ans 28 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 29

An Electric ………………….calculate .

(i)…………

(ii)………….

Answer

Ans 29 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 30

Two point charges ………………….. dipole through  90 .

Answer

Ans 30 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 31

Compare the electric ………………. silver is 47 .

Answer

Ans 31 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 32

A hallow metallic ……………the sphere .

Answer

Ans 32 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 33

A hallow spherical ……………….. of the Sphere .

Answer

Ans 33 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12


(page-112)

Question 34

The Electric potential……………………the center .

Answer

Ans 34 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 35

The electric potential…………………….of the sphere .

Answer

Ans 35 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 36

Eight charged drop ……………….the bigger drop .

Answer

Ans 36 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 37

27 identical drops ………………………..to be spherical .

Answer

Ans 37 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

Question 38

Calculate ……………………..drop is …………..and ………….

Answer

Ans 38 Electric Potential and Potential Energy Nootan Solutions ISC Physics Class-12

 

 

— End of Nootan Solutions Electric Potential and Potential Energy of Numericals :–


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