A point charge Q is located a the point (0,0), a second pointcharge with charge

Question

A point charge Q is located a the point (0,0), a second pointcharge with charge 2Q is located at the point (1,0); a third pointcharge with charge 3Q is located at the point (0,2). a)What is the electric potential at the point (1,1)? b)If a fourth point charge with charge 4Q is placed at thepoint (1,1) how much potential energy will it have? a)What is the electric potential at the point (1,1)? b)If a fourth point charge with charge 4Q is placed at thepoint (1,1) how much potential energy will it have?

Explanation / Answer

The distance from the point (1,1) to points(0,0),(1,0),(0,1) : 2 ,1,1 => the electric potential : V = kQ/2 + kQ/1 +kQ/1 = kQ(2+1/2) b) the potential energy : E = V*(4Q) = kQ2(8+22)

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