Two similarly and equally charged identical metal spheres A and B repel each other with a force of 2 × 10 - 5 N . A third identical uncharged spheres C is touched with A and then placed at the mid-point between A and B. Calculate the net electric force on C.

Let charge on each sphere be q, then the force on each sphere is F = k q 2 r 2 = 2 × 10 - 5 o r q 2 r 2 = 2 × 10 - 5 9 × 10 9 When sphere C is touched by sphere A, charge gets equally divided between the two F C A = k q 2 / 4 r 2 / 4 = k q 2 / 4 × 4 / r 2 = k q 2 r 2 F C B = k q 2 / 2 r 2 / 4 = 2 k q 2 r 2 F C = F C B - F C A = 2 × 10 - 5 N t o w a r d s A

HARD

12th West Bengal Board

IMPORTANT

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Two charges $+ 1 μ C$ and $- 1 μ C$ Are placed at the corners of the base of an equilateral triangle. The length of the side of the triangle is $0.7 m$ . Find the electric field intensity at the apex of the triangle.

Important Questions on Interaction of Charged Particles, Electric Field and Potential

EASY

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 46

A particle of charge

12 \times 10^{- 9}

Coulomb and mass

5

Gram moves a distance

300 cm

Under the action of potential difference of

500 V

. Find the velocity and acceleration of the particle if it starts

500 V

. Find the velocity and acceleration of the particle if it starts from rest.

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12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 47

Three point charges of

+ 2 μ C, - 3 μ C

and

- 3 μ C

are kept at the vertices A, B and C respectively of an equilateral triangle of side

20 cm

as shown in the Fig.

2.104

. What should be the sign and magnitude of the charge to be placed at the mid point (M) of side BC so that the charge at A remains in equilibrium?

HARD

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 48

An electric dipole of length

2 cm

is placed with its axis making an angle of

60 °

to a uniform electric field of

10^{5} N / C

. If it experiences a torque of

8 \sqrt{3} Nm

Calculate the magnitude of the charge on the dipole and potential energy of the dipole.

HARD

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 49

Four charges

+ q, + q, - q, - q

are placed respectively at the corners A, B, C and D of a square with side a, arranged in the given order. Calculate the electric potential and intensity at O, the centre of the square. If E and F are the mid-points of sides BC and CD respectively, what will be the work done in carrying charge e from O to E and O to F ?

EASY

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 50

A uniform electric field $\vec{E}$ of $300 {NC}^{- 1}$ is directed along P Q A, B and C are three points in the field having x and y coordinates (in metres) as shown in the figure, Fig $2.105$ . Calculate potential difference between points A and B.

Question Image

EASY

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 50

A uniform electric field $\vec{E}$ of $300 {NC}^{- 1}$ is directed along PQ A, B and C are three points in the field having x and y coordinates (in metres) as shown in the figure, Fig $2.105$ . Calculate potential difference between points B and C.

Question Image

MEDIUM

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 51

Two similarly and equally charged identical metal spheres A and B repel each other with a force of

2 \times 10^{- 5} N

. A third identical uncharged spheres C is touched with A and then placed at the mid-point between A and B. Calculate the net electric force on C.

MEDIUM

12th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 52

Two point charges $+ 10 μ C$ and $- 10 μ C$ are separated by a distance of $40 cm$ in air.

$(i)$ Calculate the electrostatic potential energy of the system, assuming the zero of the potential energy to be at infinity.

Two charges +1μC and -1μC Are placed at the corners of the base of an equilateral triangle. The length of the side of the triangle is 0.7 m. Find the electric field intensity at the apex of the triangle.

Important Questions on Interaction of Charged Particles, Electric Field and Potential

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Two charges $+ 1 μ C$ and $- 1 μ C$ Are placed at the corners of the base of an equilateral triangle. The length of the side of the triangle is $0.7 m$ . Find the electric field intensity at the apex of the triangle.