Learning Introductory Physics with Activities

\(\Phi_E = -24 \frac{\mathrm{Nm}^2}{\mathrm{C}}\)

A.

No. Gauss’s Law tells us that the net electric flux through a surface is equal to the charge enclosed (divided by \(\epsilon_o\)). To use Gauss’s Law, you need to take advanage of the symmetry of the charge distribution. If a Gaussian surface is drawn around both charges, the charge enclosed is zero, so the net flux is zero. There is not a useable symmetry for the dipole.

Since the electric field has a \(1/r^2\) dependence, the fluxes are the same since \(A = 4\pi r^2\text{.}\)

\(\Phi_E = 1.13 \times 10^{6} \ \frac{\mathrm{Nm}^2}{\mathrm{C}}\)