Question

The integral form of Gauss's Law is given by:

Options

• \[\oint\vec{E}\cdot d\vec{S}=Q_{enc}\]

• \[\oint\vec{E}\cdot d\vec{S}=\frac{Q_{enc}}{\varepsilon_0}\]

• \[\Phi_E = Q_{enc} \times \varepsilon_0\]

• \[E = \frac{Q_{enc}}{4\pi\varepsilon_0}\]

Answer 1

The integral form of Gauss's Law uses the closed surface integral notation (∮) to express that the dot product of the electric field and the area element, integrated over the entire closed surface, equals the enclosed charge divided by ε₀. This form is particularly useful in calculations.