A dipole is centered at the origin of a coordinate system, and a small charged s

Question

A dipole is centered at the origin of a coordinate system, and a small charged sphere is some distance away along the perpendicular bisector of the dipole. The particle carries a uniformly distributed charge of -3.5nC , and experiences a290nN electric force in the positive y direction.

Part A

If the dipole charge is 12nC and the dipole separation is 20 mm, how far away from the dipole is the sphere?

Express your answer with the appropriate units.

x=

Part B

How is the dipole moment oriented?

How is the dipole moment oriented?

The dipole moment points in the +xdirection.

The dipole moment points in the +ydirection. The dipole moment points in the ?xdirection. The dipole moment points in the ?ydirection.

The dipole moment points in the +xdirection.

Explanation / Answer

part a)

Electric field due to dipole

E=kp/z3

p is the dipole moment p=qa

where q is charge on the dipole, a is separartion between dipole

z is the distance of a particle from dipole

If q1 is the charge on the particle

then force on particle due to dipole F=q1E=kq1qa/z3

so z=(kq1qa/F)1/3

part b)

dipole moment is towards +ve charge

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