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There are three charges 5, 5, and -5 micro coulomb at thecorners of a triangle 1

ID: 1721802 • Letter: T

Question

There are three charges 5, 5, and -5 micro coulomb at thecorners of a triangle 10.0 cm in length of each side At the centera a charge of -10 micro coulomb is placed. A. What is the scalar field, V, at the center of square due tothe other three? B. What is the potential energy of the -10 micro coulomb dueto the other three? C. What is the energy to bring fourth charge to its locationin the triangle from infinity? I know we will have to use coulomb's law which says : F = k *|q*q|/r^2 and electric field formula : E = F/q(test charge) but I do notknow how to implement these. There are three charges 5, 5, and -5 micro coulomb at thecorners of a triangle 10.0 cm in length of each side At the centera a charge of -10 micro coulomb is placed. A. What is the scalar field, V, at the center of square due tothe other three? B. What is the potential energy of the -10 micro coulomb dueto the other three? C. What is the energy to bring fourth charge to its locationin the triangle from infinity? I know we will have to use coulomb's law which says : F = k *|q*q|/r^2 and electric field formula : E = F/q(test charge) but I do notknow how to implement these.

Explanation / Answer

q = 5 C, a = 10.0 cm, Q = -10 C, distance from the center to a corner = r = 0.100/3 m a) V = kq/r + kq/r + k(-q)/r = 7.79*105 V b) E = QV = -7.79 J c) W = E - E = E - 0 = QV = -7.79 J