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2 years ago

A charge of 0.91 C is spread uniformly throughout a 25 cm rod of radius 4 mm. What are the volume and linear charge densities

Physics

1 answer:

Oxana [17]2 years ago

4 0

The volume of the rod is 1.26×10⁻⁵ m³, and the linear charge density of the rod is 3.64 C/m

<h3>What is volume?:</h3>

This is the product of the height of a solid object and its crossectional area.

The Volume of the rod is can be calculated using the formula below.

Note: A rod has the shape of a cylinder.

Formula:

V = πr²h............... Equation 1

Where:

V = Volume of the rod
r = radius of the rod
h = height of the rod.

From the question,

Given:

r = 4mm = 0.004 m
h = 25 cm = 0.25 m
π = 3.14

Substitute these values into equation 1

V = 3.14(0.004²)(0.25)
V = 1.26×10⁻⁵ m³

<h3>What is linear charge density:</h3>

This is the ratio of the charge on an object to the length of the object.

The linear charge density of the rod can be calculated using the formula below.

D = Q/h.................... Equation 2

Where:

D = Linear charge density of the rod
Q = Charge on the rod.
h = height or length of the rod

From the question

Given:

Q = 0.91 C
h = 25 cm = 0.25 m

Substitute these values into equation 2

D = 0.91/0.25
D = 3.64 C/m

Hence, The volume of the rod is 1.26×10⁻⁵ m³, and the linear charge density of the rod is 3.64 C/m

Learn more about charge density here: brainly.com/question/14568868

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