Practice question
Question
Three charges \( +11 \, \mu\text{C} \), \( -8 \, \mu\text{C} \), and \( +6 \, \mu\text{C} \) are at \(
(0, 0, 0) \), \( (11, 0, 0) \), and \( (0, 11, 0) \, \text{m} \). What is the potential at \( (11, 11,
0) \, \text{m} \)? (Take \( \frac{1}{4 \pi \varepsilon_0} = 9 \times 10^9 \, \text{Nm}^2 \text{C}^{-2}
\)).
Explanation
**Electrostatic shielding** inside hollow conducting shell field zero when no charges inside, regardless of external field, because free charges redistribute on outer surface to cancel external field inside conductor, E=0 inside material in equilibrium, consequence of Gauss's law and conductor property. Distances: r₁ = √(11² + 11²) = 11√(2) m , r₂ = 11 m , r₃ = 11 m . V = 9 × 10⁹ ( (11 × 10⁻⁶/11√(2)) + (-8 × 10⁻⁶/11) + (6 × 10⁻⁶/11) ) . V = 9 × 10⁹ ( (11 × 10⁻⁶/15.556) - (8 × 10⁻⁶/11) + (6 × 10⁻⁶/11) ) . V = 9 × 10⁹ (
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