Three Solid Plastic Cylinders Charge Calculation
What is the charge of each cylinder given the charge density and surface area details provided?
The charge of each cylinder can be calculated using the charge density and surface area information given. Let's break it down step by step:
Calculating Charge Density
λ = Q / A
Given parameters:
λ = 15 nC/m² (charge density)
r = 2.5 cm = 0.025 m (radius)
L = 6.0 cm = 0.06 m (length)
Surface Area Calculation
Surface area formula for cylinder:A = 2πrL + 2πr²
Calculating Surface Area of Cylinder
A = 2π x 0.025 x 0.06 + 2 x π x 0.025²
A = 0.0134 m²
Calculating Charges
Q = λ x A
Q = 15 x 0.0134
Q = 0.20 nC
Therefore, the charge of each cylinder is 0.20 nC based on the given charge density and surface area details.