An infinite line of positive charge lies along the y axis, with charge density ?

Question

An infinite line of positive charge lies along the y axis, with charge density ? = 1.60 ?C/m. A dipole is placed with its midpoint along the x axis at x = 26.00 cm. The dipole consists of two charges 10.0 ?C separated by 2.00 cm. The axis of the dipole makes an angle of 25.0 with the x axis, and the positive charge is farther from the line of charge than the negative charge. (a) Find the magnitude of the force exerted on the negative charge of the dipole. in N (b) Find the magnitude of the force exerted on the positive charge of the dipole. in N (c) Find the magnitude of the net force exerted on the dipole. in N (d) Find the magnitude of the net torque exerted on the dipole. Calculate the torque about the midpoint of the dipole. in N*m

Explanation / Answer

force exerted on negative charge is F1 = -Eq

a. F1 = -Lq/ 2pieor

F1 = 1.6*10^-6 * -10*10^-6/2 *3.14* 8.85*10^-12 * 0.15

F1 = -1.919 N

b. force on positive charge F2 = Eq

F2 = +1.919 N

c. Net force on dipole = -F1 +F2 = zero

d. torque T = uEsinTheta = 0.28 * 10*10^-6 * 1.6*10^-6*sin 45/2 pi*8.83*10^-12 * 0.28

=0.202 Nm

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