In: Physics

What is the electric potential at the point indicated with the dot in the figure?

Express your answer to two significant figures and include the appropriate units.

Use the properties of equilateral triangle,

\(\begin{aligned} r &=\frac{a}{\sqrt{3}} \\ &=\frac{3}{\sqrt{3}} \\ &=\sqrt{3} \mathrm{~cm} \end{aligned}\)

\(=\sqrt{3} \times 10^{-2} \mathrm{~m}\)

The potential at given point is, \(V=\frac{k q_{1}}{r}+\frac{k q_{2}}{r}+\frac{k q_{3}}{r}\)

\(=\frac{k}{r}\left(q_{1}+q_{2}+q_{3}\right)\)

\(=\frac{9 \times 10^{9}}{\sqrt{3} \times 10^{-2}}\left(1 \times 10^{-9}-2 \times 10^{-9}-2 \times 10^{-9}\right)\)

\(=\frac{9 \times 10^{9} \times 10^{-9} \times(-3)}{\sqrt{3} \times 10^{-2}}\)

\(=\frac{-27}{\sqrt{3}} \times 10^{2}\)

\(=-1558 \mathrm{~V}\)

Thus, the electric potential at the point indicated (rounding off to two significant figures) is \(-1600 \mathrm{~V}\).

Latest Questions

- What visible wavelengths of light are strongly reflected from a 390-nm-thick soap bubble?
- The jet transport B is flying north with a velocity
- A cylindrical beaker of height 0.100 m and negligible weight is filled to the brim with a fluid of density ρ = 890 kg/m3 . When the beaker is placed on a scale, its weight is measured to be 1.00 N
- A 30 nC charge experiences a 0.035 N electric force.
- What is the magnitude of the electric force on charge A in the figure?
- In (Figure 1), charge q2 experiences no net electric force. What is q1?
- Two identical metal spheres A and B are connected by a plastic rod.