## Related questions with answers

Question

(a) Calculate the electric field strength near a 10.0 cm diameter conducting sphere that has 1.00 C of excess charge on it. (b) What is unreasonable about this result? (c) Which assumptions are responsible?

Solution

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1 of 2#### a)

Uniform spherical distribution produces an electric field of a point charge at the center of a sphere:

$\begin{align*}E&=k\dfrac{q}{r^2}\\\\&=9\cdot 10^9 \:\dfrac{\text{Nm}^2}{\text{C}^2}\:\dfrac{1.00\:\text{C}}{0.050^2\:\text{m}^2}\\\\&=\boxed{\textcolor{#c34632}{3.60\cdot 10^{12}\:\dfrac{\text{N}}{\text{C}}}}\end{align*}$

#### b)

$1$ C of charge is an unreasonable amount of excess charge on a metal sphere with radius $5.00$ cm so field calculated is unreasonably large.

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