Question 1.27) In a certain region of space, electric field is along the z direction throughout. The magnitude of electric field is, however, not constant but increases uniformly along the po

The force is

- 10^{- 2} N

in the negative z-direction i.e., opposite to the direction of electric field. Hence, the angle between electric field and dipole moment is 180°.

Question 1.27) In a certain region of space, electric field is along the z direction throughout. The magnitude of electric field is, however, not constant but increases uniformly along the po- Hosting Precise

Posted on 9th Oct 2021 08:39:09 in

Question 1.27) In a certain region of space, electric field is along the z-direction throughout. The magnitude of electric field is, however, not constant but increases uniformly along the positive z-direction, at the rate of $10^{5} {NC}^{- 1}$ per metre. What are the force and torque experienced by a system having a total dipole moment equal to $10^{- 7}$ Cm in the negative z-direction ?

Ans:-

Dipole moment of the system

p = q × dl

$= - 10^{7} Cm$

Rate of increase of electric field per unit length

$= \frac{dE}{dl}$

$= 10^{+ 5} {NC}^{- 1}$

Force (F) experienced by the system is given by the relation

F = qE

$F = q \frac{dE}{dl} \times dl$

$= p \times \frac{dE}{dl}$

$= - 10^{- 7} \times 10^{- 5}$

$= - 10^{- 2} N$

The force is $- 10^{- 2} N$ in the negative z-direction i.e., opposite to the direction of electric field. Hence, the angle between electric field and dipole moment is 180°.

Torque (τ) is given by the relation,

$τ = pEsin 180^{0}$

= 0

The torque experienced by the system is zero.

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