4. Find the total charge of a solid cylinder of height H and radius R

Total Charge Calculation for a Solid Cylinder

In this example, we will calculate the total charge of a solid cylinder with a height of H and a radius of R. The charge density of the cylinder is given as ρ = k, where k is a constant.

Final Answer

To find the total charge of a solid cylinder, multiply the volume of the cylinder by the charge density.

Explanation

To find the total charge of a solid cylinder, we first need to calculate the volume of the cylinder. The volume of a cylinder is given by the formula:

V = πR²H

Where R is the radius and H is the height of the cylinder. Since the charge density of the cylinder is given by ρ = k, we can calculate the total charge by multiplying the volume by the charge density:

Q = Vρ = πR²Hk

Therefore, the total charge of the solid cylinder is Q = πR²Hk.