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Calculate the electric potential at the origin O due to the point charges n the

ID: 1397943 • Letter: C

Question

Calculate the electric potential at the origin O due to the point charges n the figure below. -3027240 X Four charges are placed n the xy-plane: charge A (qA = 10 X 10^-6 C) is located at x = -2 x 10^-2 m, y = 0; charge B (qB = -20 x 10^-6 C) s located at x = +5 x 10^-2 m, y = 0; charge C (q = 18 x 10^-6 C) is located at x = -2 x 10^-2 m, y = -2 X 10^-2 m; and charge D (qD = -15 X 10^-6 C) is located at x = 0, y = -3 x 10^-2 m. The electric potential at the origin is equal to the sum of the potential due to each charge at that point.

Explanation / Answer

Potentail at the orgin, Vnet = VA + VB + VC + VC

= k*QA/rA + k*QB/rB + k*QC/rc + k*QD/Rd

= 9*10^9*10*10^-6/0.02 + 9*10^9*(-20)*10^-6/0.05 + 9*10^9*18*10^-6/(sqrt(2)*0.02) + 9*10^9*(-15)*10^-6/0.03

= 2.128*10^6 volts

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