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An electric dipole has the magnitude of its charge as $q$ and its dipole moment is $p$ . It is placed in a uniform electric field $E$ . If its dipole moment is along the direction of the field, the force on it and its potential energy are, respectively

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Important Questions on Electric Charges and Fields

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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 98

An electric dipole of moment p is placed in an electric field of intensity E. The dipole acquires a position such that the axis of the dipole makes an angle

θ

with the direction of the field. Assuming that the potential energy of the dipole to be zero when

θ = 9 0^{o}

, the torque and the potential energy of the dipole will respectively be

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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 99

An electric dipole of length 1 cm is placed with the axis making an angle of 30° to an electric field of strength

10^{4} N C^{- 1}

. If it experiences a torque of

10 \sqrt{2}

Nm, the potential energy of the dipole is

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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 100

An electric dipole consists of two opposite charges, each of magnitude $1.0 μC$ separated by a distance of $2.0 cm$ . The dipole is placed in an external electric field of $10^{5} N C^{- 1}$ . The maximum torque on the dipole is

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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 101

An electric dipole of dipole moment

(P)

is placed in an electric field

(E)

in stable equilibrium position. Which of the following represents the torque acting on the body?

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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 102

Charge is distributed within a sphere of radius

R

with a volume charge density

ρ (r) = \frac{A}{r^{2}} e^{- \frac{2 r}{a}},

where

A

and

a

are constants. If

Q

is the total charge of this charge distribution, the radius

R

is_____.

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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 103

There is a uniform spherically symmetric surface charge density at a distance

R_{0}

from the origin. The charge distribution is initially at rest and starts expanding because of mutual repulsion. The figure that represents best the speed

V (R (t))

of the distribution as a function of its instantaneous radius

R (t)

is:

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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 104

A solid sphere of radius

R_{1}

and volume charge density,

ρ = \frac{ρ_{0}}{r}

is enclosed by a hollow sphere of radius

R_{2}

with negative surface charge density

σ

such that the total charge in the system is zero.

ρ_{0}

is a positive constant and

r

is the distance from the centre of the sphere. The ratio

\frac{R_{2}}{R_{1}}

is,

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Achieve CUET (UG) Physics Practice Book>Chapter 1 - Electric Charges and Fields>Exercise>Q 105

A circle of radius

a

has charge density given by:

λ = λ_{0} {c o s}^{2} θ

on its circumference. What will be the total charge on the circle?

(λ_{0} \to c o n s t a n t)

An electric dipole has the magnitude of its charge as q and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, the force on it and its potential energy are, respectively

Important Questions on Electric Charges and Fields

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An electric dipole has the magnitude of its charge as $q$ and its dipole moment is $p$ . It is placed in a uniform electric field $E$ . If its dipole moment is along the direction of the field, the force on it and its potential energy are, respectively