The potential at a point x (measured in μ m ) due to some charges situated on the X -axis is given by V ( x ) = 20 x 2 - 4 volt. The electric field E at x = 4 μ m is given by

10 9 V μ - 1 m - 1 and in the + ve x direction

5 3 V μ - 1 m - 1 and in the - ve x direction

5 3 V μ - 1 m - 1 and in the + ve x direction

10 9 V μ - 1 m - 1 and in the - ve x direction

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Charges are placed on the vertices of a square as shown in Fig. $2.123$ . Let $\vec{E}$ be the electric field and $V$ the potential at the centre. If the charges on $A$ and $B$ are interchanged with those on $D$ and $C$ respectively, then

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

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 60

The potential at a point

x

(measured in

μ m

) due to some charges situated on the

X

-axis is given by

$V (x) = \frac{20}{x^{2} - 4}$ volt.

The electric field $E$ at $x = 4 μ m$ is given by

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 61

Two point charges

+ 8 q

and

- 2 q

are located at

x = 0

and

x = L

respectively. The location of a point on the

x

-axis is at which the net electric field due to these two point charges is zero is

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 62

Consider a system of three charges

\frac{q}{3}, \frac{q}{3}

and

\frac{2 q}{3}

Placed at points

A, B

and

C

respectively, as shown in the figure, Fig.

2.124

. Take

O

to be centre of the circle of radius

R

and angle

C A B = 60^{°}

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 63

An electric dipole is placed at an angle of

30^{°}

to a nonuniform electric field. The dipole will experience

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A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 64

Two points

P

and

Q

are maintained at the potentials of

10 V

and

- 4 V

respectively. The work done in moving

100

electrons from

P

Q

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 65

Two identical positive charges are fixed on the

Y

-axis at equal distance from the origin

O

. A negatively charged particle starts on the

X

-axis, at a large distance from

O

, moves along

X

-axis, passes through

O

and moves far away from

O

. Its acceleration

‘ a ’

is taken as positive along its direction of motion. The best graph, between the particle's acceleration and its

x

-coordinate is represented by (see Fig.

2.125

)

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IMPORTANT

A Text Book of PHYSICS PART 2 : CLASS 12>Chapter 2 - Interaction of Charged Particles, Electric Field and Potential>EXERCISE 2>Q 66

An electric charge

10^{- 3} μ c

is placed at the origin

(0, 0)

X Y

coordinate system. Two points

A

and

B

are situated at

(\sqrt{2}, \sqrt{2})

and

(2, 0)

respectively. The potential difference between the points

A

and

B

will be

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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 67

Two charges

q_{1}

and

q_{2}

are placed

30 cm

apart, as shown in Fig.

2.126

A

third charge

q_{3}

is moved along the arc of a circle of radius

40 cm

from

C

D

. The charge in the potential energy of the system is

\frac{q_{3}}{4 π ε_{0}} k

, where

k

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Charges are placed on the vertices of a square as shown in Fig. 2.123. Let E→ be the electric field and V the potential at the centre. If the charges on A and B are interchanged with those on D and C respectively, then

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

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Charges are placed on the vertices of a square as shown in Fig. $2.123$ . Let $\vec{E}$ be the electric field and $V$ the potential at the centre. If the charges on $A$ and $B$ are interchanged with those on $D$ and $C$ respectively, then