Three charges with q = +3.1 ? C are located as shown in the figure below, with L

Question

Three charges with q = +3.1 ?C are located as shown in the figure below, with L = 26 cm.

(a) What are the magnitude and direction of the total electric force on the charge at the bottom?

(b) What are the magnitude and direction of the total electric force on the charge at the right?

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Two point charges Q1 = +5.30 nC and Q2= ?1.90 nC are separated by 55.0 cm.

(a) What is the electric potential at a point midway between the charges?

(b) What is the potential energy of the pair of charges?

Explanation / Answer

2nd question: a) V = kq/r
V1 = kq1/r = (9x10^9)(5.3x10^-6)/(0.55m) = 190.8
V2 = kq2/r = (9x10^9)(-2.1x10^-6)/(0.55m) = -75.6
V = V1 + V2 = 190.8 - 75.6 = 115.2 V

b)U = kq1q2/r
U = (9x10^9)(5.3x10^-6)(-2.1x10^-6)/(0.55m)
U = -0.385 J

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