A 3 uC charge is placed 2 cm to the right of the origin along the x axis and a -

Question

A 3 uC charge is placed 2 cm to the right of the origin along the x axis and a -5 uC charge is placed 5cm below the origin along the y=axis. Finally an 8 uC charge is placed 3 cm away from the origin along a line making a 135 degree angle with respect to the +axis. A.) Calculate the electric potential at the orgin due to the three point charges. B.) Calculate the energy required to assemble the three point charges C.) Calculate the energy required to bring a -4 uC charge from infinity to the origin.

Explanation / Answer

a)

(V=9*10^9*(3/2-1+8/3)*10^{-4}=2850000 NmC^{-1})

b) (U=9*10^9( (24)/(0.046352)-40/0.0743055-15/0.05385 )*10^{-12}={-2.691834} J)

c) (U=9*10^9*(3/2-1+8/3)*(-4)10^{-10}= -11.4 J)

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