Question

an annular disk of inner radius a and outer radius b is placed on the xy-plane and centered at the origin. if the disk carries uniform charge with density rs, find e at (0, 0, h)

Answer 1

To find the electric field at point (0, 0, h) due to a disk with uniform charge density, use the formula for the electric field due to a uniformly charged disk.

Step-by-step explanation:

To find the electric field at point (0, 0, h) due to a disk with uniform charge density, we can use the formula for the electric field due to a uniformly charged disk:

E = \frac{1}{4\pi\varepsilon_0} \frac{2 \pi \sigma r}{(r^2 + h^2)^{\frac{3}{2}}}

Where:

• E is the electric field
• \sigma is the charge density (C/m²)
• r is the distance from the center of the disk to the point (0, 0, h)
• h is the vertical distance from the center of the disk to the point (0, 0, h)
• \varepsilon_0 is the permittivity of free space

Plugging in the values for the inner and outer radii, a and b, and the vertical distance h, we can find the electric field at the point (0, 0, h).