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?

In a certain region of space, electric field is along the z-direction

1.	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?
Answer» Dipole moment of the system `p=qxxdl=-10^(-7)Cm` Rate of increase of electric field per unit length, `(dE)/(dl)=10^(+5)NC^(-1)` Force (F) experienced by the system is given by the relation F=Qe `F=a(dE)/(dl)xxdl` `=pxx(dE)/(dl)` `-10^(-7)xx10^(-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, `tau = pE sin180^(@)`. =0 Therefore, the torque experienced by the system is zero.

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