A charge of +47 uC is located at (0, 2.2 m). A charge of -63 uC islocated at (0,

Question

A charge of +47 uC is located at (0, 2.2 m). A charge of -63 uC islocated at (0, 1.6m). For these questions assume that the electricpotential energies are zero at infinity.

A. What is the force (mag and direction) on the -63 uC charge?
B. What is the electric potential at the orgin?
C. What is the electric field (mag and direction) at theorigin?
D. How much work was done by the electric field to bring these towcharges to their current locations?
E. If the charges are moved farther apart, does their electricpotential energy increase, decrease or remain the same?

Thanks a lot!

Explanation / Answer

q = 47 C, Q = 63 C, a = 2.2 m, b = 1.6 m, A) F = kqQ/(a - b)2 = 74.0 N, direction: +y B) V = kq/a + k(-Q)/b = -1.62*105 V C) E = kQ/b2 - kq/a2 = 1.34*105N/C, direction: +y D) work = kq(-Q)/(a - b) = -44.4 J E) potential energy U = kq(-Q)/(a - b) if a - b is larger, then U will increase.

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