One kind of e-book display consists of millions of very small spheres that float

Question

One kind of e-book display consists of millions of very small spheres that float in a thin fluid layer between two conducting, transparent plates. Each sphere is black on one side and white on the other, and possesses an electric dipole moment directed from the white side to the black. When an electric field is applied between the plates, the spheres rotate so that their dipole moment lines up with the field. Depending on the field's direction, either the black or the white sides of the spheres can be made visible. The dipole moment of the spheres can be modeled as two opposite charges of magnitude 3.3×1015 C separated by a distance of 100 m.

What is the maximum possible torque on a sphere if the electric field between the transparent plates is 4.3×105 N/C ? I already posted this answer, a tutur said it was 9.9*10-9 N*m which was incorrect, anybody else got a different one?

Explanation / Answer

Here ,

charge , q = 3.3 *10^-15 C

distance ,d = 100 um

d = 1 *10^-4 m

electric field , E = 4.3 *10^5 N/C

maximum possible torque = E * q * d

maximum possible torque = 4.3 *10^5 N/C * 3.3 *10^-15 C*1 *10^-4 m

maximum possible torque = 1.419 *10^-13 N.m

the maximum possible torque that can be applied on a single sphere is 1.419 *10^-13 N.m

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