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

Charge density formula:

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.

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