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.
What is the formula for calculating the total charge of a solid cylinder? The formula for calculating the total charge of a solid cylinder is Q = πR²Hk, where R is the radius, H is the height, and k is the charge density constant.