Question

Which equation is applied in the final step to solve for \[E\]?

Options

• \[E = Q_{\mathrm{enc}}\varepsilon_0 A\]

• \[E \cdot A = \varepsilon_0 Q_{\mathrm{enc}}\]

• \[E = A/(\varepsilon_0 Q_{\mathrm{enc}})\]

• \[E \cdot A = Q_{\mathrm{enc}}/\varepsilon_0\]

Answer 1

The final step applies Gauss's Law in the form \[E \cdot A = Q_{\mathrm{enc}}/\varepsilon_0\]. Solving this equation gives the electric field.