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In a certain region of space, electric f...

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)m^(-1)` . What are the force and torque experienced by system having a total dipole moment equal to `10^(-7)`Cm in the negative z-direction?

A

`-10^(-2)N`

B

`10^(-2)N`

C

`10^(-4)N`

D

`-10^(-4)N`

Text Solution

Verified by Experts

The correct Answer is:
A
Consider as electric dipole with -q charge at A and +q charge at B, placed along z-axis, that its dipole moment is in negative z direction.
i.e., `p_(z)=-10^(-7)Cm`
The electric field is along positive direction of z-axis, such that
`(dE)/dz=10^(5)NC^(-1)m^(-1)`
From `F=qdE=(qxxdz)xx(dE)/(dz)=p(dE)/(dz)`
`therefore" "F=-10^(-7)xx10^(5)=-10^(-2)N`
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