Hexagonal Charge Distribution Potential
Hexagon Properties
Charge Properties
Calculated Results
Electric Potential at Center:
\[ V = \frac{6q}{4\pi\varepsilon_0d} \]
Where:
- \( q \) = charge at each vertex (5 μC)
- \( d \) = distance from center to vertex (10 cm)
- \( \frac{1}{4\pi\varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2/\text{C}^2 \)
Distance from center (d):
10 cm
Total potential at center (V):
2.7 × 106 V
Calculation steps:
\[ V = \frac{6 \times 9 \times 10^9 \times 5 \times 10^{-6}}{0.1} \]
\[ V = 2.7 \times 10^6 \, \text{V} \]
