Problem 10: The diagram shows one positive charge, Q+ = +4.23 µC, one negative charge, Q- = -12.27 µC, and four observation points, P1, P2 , P3, and P4. The relative positions are indicated. In all steps, assume that the potential function of the point charge has been defined so that the potential goes to zero at very large distances. 3 сm 4 cm- 4 cm- +2 cm- P1 P2 Q- +2 cm- 3 cm Part (a) What is the potential, in kilovolts, at observation point P1? Numeric :A numeric value is expected and not an expression. V= Part (b) What is the potential, in kilovolts, at observation point P2? Numeric : A numeric value is expected and not an expression. V = Part (c) What is the potential, in kilovolts, at observation point P3? Numeric : A numeric value is expected and not an expression. V = Part (d) What is the potential, in kilovolts, at observation point P4? Numeric : A numeric value is expected and not an expression. V =

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The problem is based on the concept of electric potential.

The electric potential of discrete charge is given by;

$\begin{array}{rcl}& & The electric potential at a point is given by;\\ \mathit{V}& \mathbf{=}& \frac{\mathbf{1}}{\mathbf{4}{\mathbf{\pi \epsilon }}_{\mathbf{0}}}\mathbf{ }\underset{\mathbf{i}}{\mathbf{\sum }\mathbf{ }\frac{{\mathbf{q}}_{\mathbf{i}}}{{\mathbf{r}}_{\mathbf{i}}}}\\ & & This is electric potential at a given point , \\ & & measured at dis\tan ce r from point charge q.\\ & & Where;\\ V& =& Electric potential at a given point \\ \frac{1}{4{\mathrm{\pi \epsilon }}_0}& =& 9\times {10}^9 N{m}^2 C^{-2}\\ q& =& charge\\ r& =& dis\tan ce between point charge and \\ & & point at which electric potential to be find out\\ & & \end{array}$