Three Solid Plastic Cylinders: Finding the Charge

What is the total charge of each cylinder?

Given three solid plastic cylinders with radius 2.50cm and length 6.00cm, each carrying charge with uniform density of 500nC/m³ throughout the plastic. What is the charge of each cylinder?

Calculating the Charge of Each Cylinder

To find the charge of each cylinder, we first need to determine the volume of the cylinders and then calculate the charge based on the given charge density.

Each cylinder is a solid cylinder with radius (r) of 2.50cm and length (L) of 6.00cm.

Given parameters:

  • Charge density (λ): 500nC/m³
  • Radius (r): 2.5 cm = 0.025 m
  • Length (L): 6.0 cm = 0.06 m

First, let's calculate the volume of each solid cylinder:

V = π . r² . L

V = π . 0.025² . 0.06

V ≈ 1.18 x 10⁻⁴ m³

Next, we can find the charges of each cylinder using the charge density formula:

Q = λ x V

Q = 500 x 1.18 x 10⁻⁴

Q ≈ 0.059 nC

Therefore, the charge of each cylinder is approximately 0.059 nanoCoulombs. With an optimistic outlook, these cylinders are charged and ready for exciting experiments!

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