An infinite line of positive charge lies along the y axis, with charge density λ = 1.70 μC/m. A dipole is placed with its center along the x axis at x = 26.0 cm. The dipole consists of two charges ±10.0 μC separated by 2.00 cm. The axis of the dipole makes an angle of 30.0° with the x axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted on the dipole.

Question

Camryn Steele

Physics

30 March, 10:01

An infinite line of positive charge lies along the y axis, with charge density λ = 1.70 μC/m. A dipole is placed with its center along the x axis at x = 26.0 cm. The dipole consists of two charges ±10.0 μC separated by 2.00 cm. The axis of the dipole makes an angle of 30.0° with the x axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted on the dipole.

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Answers (1)

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Rodolfo Rocha · Answer 1

the force exerted on the dipole = 0.11 N

Explanation:

Using F = (KQq/r^2) sin ∅

the distance of dipole to the line charge will be 30 cm, hence 1 st charge on the dipole - 10 micro C is 29 cm and that to + 10 micro C is 31 cm (2 cm apart).

0.91 N with - ve charge and 0.80 to + ve charge. The difference is the force on the dipole i. e 0.11 N