Four particles, each carrying a charge of magnitude 1.0 nC , are at the corners

Question

Four particles, each carrying a charge of magnitude 1.0 nC , are at the corners of a square that has a side length of 3.0 m.

Part A For zero potential set at infinity, calculate the potential at the center of the square if all particles are positively charged. Express your answer with the appropriate units.

V =

Part B For zero potential set at infinity, calculate the potential at the center of the square if three particles are positively charged and one is negatively charged. Express your answer with the appropriate units.

V =

Part C For zero potential set at infinity, calculate the potential at the center of the square if two particles are positively charged and two are negatively charged. Express your answer with the appropriate units.

V =

Explanation / Answer

A)

Electric potential is given by

V = kQ/r

r = distance between corner of square and center of square = sqrt(2)*3/2 = 2.12 m

all charges are positive so total electric potential = kQ/r + kQ/r + kQ/r + kQ/r

= 4*9*10^9*1*10^(-9)/2.12 = 16.98 volt

B)

three charges are positive and one is negative

so total electric potential = kQ/r + kQ/r + kQ/r - kQ/r = 2*9*10^9*1*10^(-9)/2.12 = 8.49 volt

C)

two charges are positive and another two are negative

so total electric potential = kQ/r + kQ/r - kQ/r - kQ/r = 0

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