Two point charges are located as shown in the figure, with charge q 1 = +3.5 C a

Question

Two point charges are located as shown in the figure, with charge q1 = +3.5 C at x = ?3.0 m, y = 0, and charge q2 = +2.2 C at x = +1.0 m, y = +2.0 m. An electron is now taken from a point very far away and placed at the origin. How much work must be done on the electron to move it to the origin?

Two point charges are located as shown in the figure, with charge q1 = +3.5 C at x = ?3.0 m, y = 0, and charge q2 = +2.2 C at x = +1.0 m, y = +2.0 m. An electron is now taken from a point very far away and placed at the origin. How much work must be done on the electron to move it to the origin?

Explanation / Answer

The energy = k*q*q1/r1 + k*q*q2/r2......r2 = sqrt(1^2 + 2^2) = sqrt(5)

So U = k*q*(q1/r1 + q2/r2)

= 9.0x10^9*(-1.60x10^-19)*(3.5/3 + 2.2/sqrt(5)) = -3.10x10^-9J (Note the work is negative since you are moving a negative charge into a positive potential)

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