Question 2.12: Use Gauss’s law to find the electric field inside a uniforml...

Use Gauss’s law to find the electric field inside a uniformly charged solid sphere (charge density ρ). Compare your answer to Prob. 2.8.

The Blue Check Mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

\oint{}E\cdot da = E · 4\pi r^2=\frac{1}{\varepsilon _0} Q_{enc}=\frac{1}{\varepsilon _0}\frac{4}{3} \pi r^3\rho . So

E=\frac{1}{3\varepsilon_0 } \rho r\hat{r} .

Since Q_{tot} =\frac{4}{3}\pi R^3\rho ,E=\frac{1}{4\pi \varepsilon _0}\frac{Q}{R^3}\hat{r} (as in Prob. 2.8).

2.12

Related Answered Questions