Three point charges at the three corners of a square of side 2.0m. Field point P

Question

Three point charges at the three corners of a square of side 2.0m. Field point P is at the fourth corner. The charges are

Q1=+80x10^-9C

Q2=-120x10^-9C

Q3=+20x10^-9

a.) Calculate the electric potential produced by Q1 at field point P

b.) Calculate the electric potential produced by Q2 at field point P

c.)Calculate the electric potential produced by Q3 at field point P

d.) Calculate the net electric potential at field point P

e.) A fourth charge, Q4=+20.0*10^-9C is placed at the field point P. Calculate the electric potential energy of Q4

Explanation / Answer

a) V1 = k*Q1/r1 = 9*10^9*80*10^-9/2 = +360 volts

b) V2 = k*Q2/r2 = 9*10^9*(-120)*10^-9/2*sqrt(2) = -381.84 volts

c) V3 = k*Q3/r3 = 9*10^9*20*10^-9/2 = 90 volts


d) Vnet = v1+v2+v3 = 68.16 volts


poetntail energy of Q4, U = Q4*Vnet = 20*10^-9*68.16 = 1.363*10^-6 J

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