An electric dipole of length 4 cm , when placed with its axis making an angle of 60 ° with a uniform field experiences a torque of 4 3 Nm. Calculate the potential energy of the dipole, if the dipole has charges of ± 8 nC

We know that Dipole moment ( P ) = q . 2 L P = 8 × 10 − 9 × 2 × 4 × 10 − 2 = 64 × 10 − 11 Cm Torque on the dipole in uniform electric field. τ = PEsinθ E = τ Psinθ Potential energy of the dipole is U = − PEcosθ On substituting the value, we get the value of E and U . ∴ U = - P τ Psinθ cosθ ∴ U = - τ tanθ ∴ U = - 4 3 tan 60 ° = - 4 3 3 = - 4 Nm So, the potential energy of the dipole = - 4 Nm

An electric dipole of length 4 cm , when placed with its axis making an angle of 60 ° with a uniform field experiences a torque of 4 3 Nm. Calculate the potential energy of the dipole, if the dipole has charges of ± 8 nC

We know that Dipole moment ( P ) = q . 2 L P = 8 × 10 − 9 × 2 × 4 × 10 − 2 = 64 × 10 − 11 Cm Torque on the dipole in uniform electric field. τ = PEsinθ E = τ Psinθ Potential energy of the dipole is U = − PEcosθ On substituting the value, we get the value of E and U . ∴ U = - P τ Psinθ cosθ ∴ U = - τ tanθ ∴ U = - 4 3 tan 60 ° = - 4 3 3 = - 4 Nm So, the potential energy of the dipole = - 4 Nm

MEDIUM

12th West Bengal Board

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An electric dipole of length $4 cm,$ when placed with its axis making an angle of $60 °$ with a uniform field experiences a torque of $4 \sqrt{3}$ Nm. Calculate the potential energy of the dipole, if the dipole has charges of $\pm 8 nC$

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

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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 37

At a point due to a point charge, the values of electric field intensity and potential are $32 N / C$ and $16 J / C$ respectively.

Calculate (i) magnitude of the charge and

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 37

At a point due to a point charge, the values of electric field intensity and potential are $32 N / C$ and $16 J / C$ Respectively. Distance of the charge from the point of observation.

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 38

Two positive charges of

10 μC

each are situated

10 cm

apart from each other. What is the increase in the electrostatic potential energy of the system when the two charges are brought closer by

2 cm

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 39

An ionised helium particle

(+ 2 l)

is situated at the origin

(0, 0)

. How much work is done in taking an electron from

x = 3 cm

x = 6 cm ?

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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 40

A particle of mass

10^{- 3} kg

and charge

5 μ C

enters into a uniform electric field of

2 \times 10^{5} {NC}^{- 1}

, moving with a velocity of

20 {ms}^{- 1}

, in a direction opposite to that of the field. Calculate the distance it would travel before coming to rest.

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 41

A liquid drop hangs in equilibrium between two metal plates separated by a distance of

2 cm

and maintained a potential difference of

600

volts. Calculate the charge on the drop if the radius of drop is

0.1 cm

and density of the liquid is

800 Kg / m^{3}

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 42

A charge of

60 nC

is placed at the corner A of a square A B C D of side

10 cm

. Another charge of

- 40 nC

is located at the centre of the square. Find the work done in carrying a charge of

5 nC

from the corner C to the corner B of square.

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 43

Two particles A and B having charges

8 \times 10^{- 6}

coulomb and

- 2 \times 10^{- 6}

coulomb respectively are held fixed with separation of

20 cm

. Where should a third charged particle be placed so that it does not experience any electric force?

An electric dipole of length 4 cm, when placed with its axis making an angle of 60° with a uniform field experiences a torque of 43Nm. Calculate the potential energy of the dipole, if the dipole has charges of ±8nC

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

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An electric dipole of length $4 cm,$ when placed with its axis making an angle of $60 °$ with a uniform field experiences a torque of $4 \sqrt{3}$ Nm. Calculate the potential energy of the dipole, if the dipole has charges of $\pm 8 nC$