Where \(\lambda\) is a new constant of nature. You are charged with reformulating electrostatics to accommodate this new discovery. Assume the principle of superposition still holds.

9.5.1 Does this new electric field admit a scalar potential?

9.5.2 Find the potential of a point charge q. Use \(\infty\) as your reference point.

9.5.3 For a point charge q at the origin, show that: