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Prepared by- Er. Shabbir Alam , Contact- +91-8451917252, 9892359341, Email- [email protected] TEST PAPER Time- 1:30 hr CLASS - XII PHYSICS (Electrostatics) Max Marks- 35 Er. Shabbir Alam , Contact- +91-8451917252, 9892359341 , Email- [email protected] 1. A charged rod P attracts rod R whereas P repels another charged rod Q. What type of force would be between Q and R? [1] 2. A free proton and a free electron are placed in a uniform field. Which of the two experiences greater acceleration? [1] 3. What is the work done in moving a 2 C point charge from corner A to corner B of a square when a 10 C charge exist at the centre of the square? [1] 4. Force of attraction between two point electric charges placed at a distance d in a medium is F. What distance apart should these be kept in the same medium, so that force between them becomes F/3? [1] 5. A parallel plate capacitor with air between the plates has a capacitance of 8 pF. What will be the capacitance if the distance between plates is reduced by half and the space between them is filled with a substance of dielectric constant 6? [2] 6. No two electric lines of force can intersect each other. Why? [2] 7. A particle of mass m and charge q is released from rest in a uniform electric field of intensity E. Calculate the kinetic energy it attains after moving a distance S. [2] 8. Draw equipotential surface (a) In a uniform electric field (b) for a point negative charge. [2] 9. If the amount of electric flux entering and leaving a closed surface are 1 and 2 respectively. What is the electric charge inside the surface? [2] 10. The plates of a charged capacitor are connected by a voltmeter. If the plates of the capacitor are moved further apart. What will be the effect on the reading of the voltmeter? Explain? [2] 11. Define the term dipole moment P of an electric dipole indicating its direction. Write its SI unit. An electric dipole is placed in a uniform electric field E. Deduce the expression for torque acting on it.[3] 12. State Gauss’s theorem in electrostatics? Using this theorem define an expression for the field intensity due to an infinite plane sheet of charge density 2 / C cm . [3] 13. Prove that energy stored in a parallel plate capacitor is 2 1 2 CV . [3] 14. (i) The electric field E due to a point charge at any point near to it is defined as 0 lim q F E q where q is the test charge and F is the force acting on it. What is the significance of 0 lim q in this expression?[1] (ii) Two charges each 7 2 10 C but opposite in sign forms a system. These charges are located at points A (0, 0,-10)cm and B (0,0,10)cm respectively. What is the total charge and electric dipole moment of the system?[2] (iii) Derive an expression for the potential at a point along the axial line of a short electric dipole. [2] 15. (i) Define dielectric constant in terms of the capacitance of a capacitor? On what factor does the capacitance of a parallel plate capacitor with dielectric depend? [1] (ii) Find the ratio of the potential differences that must be applied across the- (a) Parallel (b) Series, combination of two identical capacitors so that the energy stored in the two cases becomes the same. [2] (iii) Show that when a charged capacitor is connected to an uncharged capacitor, then there is always some loss of energy in the process. [2]

Electrostatics 1

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Page 1: Electrostatics 1

Prepared by- Er. Shabbir Alam , Contact- +91-8451917252, 9892359341, Email- [email protected]

TEST PAPER

Time- 1:30 hr CLASS - XII PHYSICS (Electrostatics) Max Marks- 35

Er. Shabbir Alam , Contact- +91-8451917252, 9892359341 , Email- [email protected]

1. A charged rod P attracts rod R whereas P repels another charged rod Q. What type of force would be

between Q and R? [1]

2. A free proton and a free electron are placed in a uniform field. Which of the two experiences greater

acceleration? [1]

3. What is the work done in moving a 2 C point charge from corner A to corner B of a square when a 10

C charge exist at the centre of the square? [1]

4. Force of attraction between two point electric charges placed at a distance d in a medium is F. What

distance apart should these be kept in the same medium, so that force between them becomes F/3? [1]

5. A parallel plate capacitor with air between the plates has a capacitance of 8 pF. What will be the

capacitance if the distance between plates is reduced by half and the space between them is filled with a

substance of dielectric constant 6? [2]

6. No two electric lines of force can intersect each other. Why? [2]

7. A particle of mass m and charge q is released from rest in a uniform electric field of intensity E.

Calculate the kinetic energy it attains after moving a distance S. [2]

8. Draw equipotential surface (a) In a uniform electric field (b) for a point negative charge. [2]

9. If the amount of electric flux entering and leaving a closed surface are 1 and 2 respectively. What is

the electric charge inside the surface? [2]

10. The plates of a charged capacitor are connected by a voltmeter. If the plates of the capacitor are moved

further apart. What will be the effect on the reading of the voltmeter? Explain? [2]

11. Define the term dipole moment P of an electric dipole indicating its direction. Write its SI unit. An

electric dipole is placed in a uniform electric field E. Deduce the expression for torque acting on it.[3]

12. State Gauss’s theorem in electrostatics? Using this theorem define an expression for the field intensity

due to an infinite plane sheet of charge density 2/C cm . [3]

13. Prove that energy stored in a parallel plate capacitor is 21

2CV . [3]

14. (i) The electric field E due to a point charge at any point near to it is defined as0

limq

FE

q where q is the

test charge and F is the force acting on it.

What is the significance of 0

limq

in this expression?[1]

(ii) Two charges each 72 10 C but opposite in sign forms a system. These charges are located at points

A (0, 0,-10)cm and B (0,0,10)cm respectively. What is the total charge and electric dipole moment of

the system?[2]

(iii) Derive an expression for the potential at a point along the axial line of a short electric dipole. [2]

15. (i) Define dielectric constant in terms of the capacitance of a capacitor? On what factor does the

capacitance of a parallel plate capacitor with dielectric depend? [1]

(ii) Find the ratio of the potential differences that must be applied across the-

(a) Parallel

(b) Series, combination of two identical capacitors so that the energy stored in the two cases becomes

the same. [2]

(iii) Show that when a charged capacitor is connected to an uncharged capacitor, then there is always

some loss of energy in the process. [2]