The dimension of $\frac{1}{2}{\epsilon }_0{E}^2$ (${\epsilon }_0=$ permittivity of free space, $E=$ electric field) is

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

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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 33

Three charges $Q, +q$ and $+q$ are placed at the vertices of a right angled isosceles triangle as shown in Fig. $2.114$. The net electrostatic energy of the configuration is zero; if $Q$ is equal to -

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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 34

Two small spheres each having the charge $q$ are suspended by insulating threads of a length $l$ from a hook. The arrangement is taken in space, where there is no gravitational effect. Then the angle between the two suspensions and the tension in each will be 

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12th West Bengal Board

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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 35

Point charge $q$ moves from point $P$ to point $S$ along the path $PQRS$ (as shown in figure, Fig. $2.115$) in a uniform electric field $E$ pointing co-parallel to the positive direction of $X$ -axis. The coordinates of the points $P, Q, R$ and $S$ are $(a,b,0), (2a,0,0), (a,-b,0)$ and $(0,0,0)$ respectively. The work done by the field in the above process is given by the expression

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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 36

A positively charged thin metal ring of radius $R$ is fixed in the $xy$ place with its centre at the origin $O$. A negatively charged particle $P$ is released from rest at the point $\left(0,0,z_0\right)$ where $z_0>0$. Then the motion of $p$ is

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12th West Bengal Board

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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 37

A charge $q$ is placed at the centre of the line joining two equal positive charges $Q$. The system of the three charges will be in equilibrium, if $q$ is equal to -

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12th West Bengal Board

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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 38

A uniform electric field pointing in positive $X$ direction exists in a region. Let $A$ be the origin, $B$ be the point on the $X$-axis at $x=+1 \mathrm{cm}$ and $C$ be the point on the $Y$-axis at $y=+1 \mathrm{cm}$. Then the potentials at $A, B$ and $C$ satisfy-

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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 39

Potential at any point inside a charged hollow sphere -

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12th West Bengal Board

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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 40

A charge $+q$ is fixed at each of the point$x=x_0,x=3x_0,x=5x_0 \dots \dots \dots$ to $\propto$ on the $X$ -axis and a charge $-q$ is fixed at each of the points of the points $x=2x_0,x=4x_0,x=6x_0\dots \dots \dots .$ to $\propto$, Here $x_0$ is a positive constant. Take the electric potential at a point due to a charge $Q$ at a distance $r$ from it to be $\frac{1}{4\pi {\epsilon }_0}\frac{Q}{r}.$ Then, the potential at the origin due to the above system of the charges is -