A point charge Qi with charge -2q located at origin (0, 0, 0), and two point charges Q2 and Q3 with equal charge +q are at r2 =-a az and r3 = +a az . Assume when a → 0, Q = qa² held fixed. 1) Draw the point charges and its location in Cartesian coordinate system. 2) Choose one arbitrary point P around the point charges and label all relevant position vectors. 3) Write the electric potential equation V(r) for discrete charges at P.

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A point charge Qi with charge -2q located at origin (0, 0, 0), and two point charges Q2 and Q3 with equal charge +q are at r2 =-a az and r3 = +a az . Assume when a → 0, Q = qa² held fixed.

1) Draw the point charges and its location in Cartesian coordinate system.

2) Choose one arbitrary point P around the point charges and label all relevant position vectors.

3) Write the electric potential equation V(r) for discrete charges at P.

4) Using special technique as on slide 28, prove V(r) = (3 cos? 0 – 1). .

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