Question

In free space, the Poisson equation becomes

Answer 1

Answer:

Explanation: The Poisson equation is given by Del2(V) = -ρ/ε. In free space, the charges will be zero. Thus the equation becomes, Del2(V) = 0, which is the Laplace equation.

Answer 2

The Poisson equation becomes the Laplace Equation

The Poisson equation is given by (δ$)^2$(V) = -ρ/ε

In free space, the equation will become (δ$)^2$(V) = 0. This is because the charges will be zero in a free space.

The equation above is also the Laplace equation.

Thus, it can be seen in free space having no charges, the Poisson equation becomes the Laplace equation.