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 105 N C-1 m-1. The force experienced by the system having a total dipole moment equal to 10-7 C m in the negative z- direction is

Question

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 105 N C-1 m-1. The force experienced by the system having a total dipole moment equal to 10-7 C m in the negative z- direction is (A) -10-2 N (B) 10-2 N (C) 10-4 N (D) -10-4 N

Tardigrade Admin · Accepted Answer

Consider an electric dipole with -q charge at A and +q charge at By placed along z-axis, that its dipole moment is in negative z direction. i.e., pz = - 10-7 C m The electric field is along positive direction of z-axis, such that (d textE/dz)=105 N C-1 m-1 From F= qdE=(q× dz)×(dE/dz)=p (dE/dz) ∴ F=-10-7×105=-10-2 N

$- 1 0^{- 2} N$

$1 0^{- 2} N$

$1 0^{- 4} N$

$- 1 0^{- 4} N$

−10−2N

10−2N

10−4N

−10−4N

$- 1 0^{- 2} N$

$1 0^{- 2} N$

$1 0^{- 4} N$

$- 1 0^{- 4} N$