A dipole is centered at the origin and is composed of charged particles with cha

Question

A dipole is centered at the origin and is composed of charged particles with charge +7e and -7e, separated by a distance 7 x 10-10 m along the y axis. The +7e charge is on the -y axis, and the -7e charge is on the ty axis. (Hint: Make a diagram. One approach is to calclate magnitudes, and get directions from your diagram.) (a) A proton is located at (, 9 × 10-8, o m. What is the force on the proton due to the dipole? (Express your answer in vector form.) Fonp+ by dipole- (b) An electron is located at (-9 × 10-8, 0, 0) m, what is the force on the electron due to the dipole? (Express your answer in vector form.) Fon e by dipole

Explanation / Answer

electric dipole moment of the given dipole, p = q*l

= 7*1.6*10^-19*7*10^-10

= 7.84*10^-28 C.m

a)
elctric field on the axis of dipole,

E = 2*k*p/r^3

= 2*9*10^9*7.84*10^-28/(9*10^-8)^3

= 1.936*10^4 N/c (towards -y axis)

Force on the proton would be towards -y axis,

Force on proton, F = q*E

= 1.6*10^-19*1.936*10^4

= 3.1*10^-15 N

in vector notation,

F = (0, -3.1*10-15, 0 ) N <<<<<<-----Answer

b) elctric field on the equitorial line,

E = k*p/r^3

= 9*10^9*7.84*10^-28/(9*10^-8)^3

= 9679 N/c (towards +y axis)

Force on the electron would be towards -y axis,

Force on electron, F = q*E

= 1.6*10^-19*9679

= 1.55*10^-15 N

in vector notation,

F = (0, -1.55*10-15, 0 ) N <<<<<<-----Answer

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