# Charged Ring Over An Infinite Grounded Plane

**Electricity and Magnetism**Level 4

**grounded**conducting plane at a height \(\displaystyle h\), as shown in the figure above.

Find the magnitude of the surface charge density \(\displaystyle \sigma\) (in C/m\(^2\)) of the induced charge at the point on the plane which is exactly **below** the ring's center.

**Details and Assumptions**

\(\bullet\) \(\displaystyle q = 2\ \mu\text{C}\)

\(\bullet\) \(\displaystyle R = 10\text{ cm}\)

\(\bullet\) \(\displaystyle h = 15\text{ cm}\)