Question

Suppose we hold a point charge $Q$ a distance $d$ above an infinite, flat plane conductor. The potential on the conductor is fixed at $0$. What is the potential everywhere above the conductor then?

• A. $k_e\frac{Q}{d}$
• B. $k_e\frac{2Q}{d}$
• C. $k_e\frac{Q}{2d}$
• D. $0$

Answer 1

The correct option is D $0$

Point charge $=Q$

distance $=d$ above an infinite fixed at $0$.

Now, using Gauss's law,

${\phi }_E=\left(E\right)\left(2\pi rl\right)=\frac{\lambda l}{{ϵ}_0}$ and $E=\frac{1}{2\pi {ϵ}_0}\frac{\lambda }{r}$ (field of an infinite line of charge) then equipotential charge distribution will become $=0$.