First slide

Finding field strength using Gauss's Law

Question

The insulation property of air, breaks at E = 3 x 10⁶ N /C. The maximum charge that can be given to a sphere of diameter 5 metre is approximately (in coulomb) :

Moderate

A

2 x 10^-2
B

2 x 10^-3
C

2 x 10^-4
D

2 x 10^-5

Solution

$R = 2.5 m E = \frac{1}{4 {πε}_{0}} \frac{q}{r^{2}}, ∴ q = 2 x 10^{- 3} C$

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