A cylinder has a radius of 2.1cm and a length of 8.8cm .total charge 6.1 x 10^-7C is distributed uniformly throughout. the volume charge density is?

The answer for the following problem is explained below.

Therefore the volume charge density of a substance (ρ) is 0.04 × C.

Explanation:

Given:

radius (r) =2.1 cm = 2.1 × m

height (h) =8.8 cm = 8.8 × m

total charge (q) =6.1× C

To solve:

volume charge density (ρ)

We know;

ρ =q ÷ v

volume of cylinder = π ×r  × r × h

volume of cylinder =3.14 × 2.1 × 2.1 × × 8.8 ×

volume of cylinder (v) = 122.23 ×

ρ =q ÷ v

ρ = 6.1× ÷   122.23 ×

ρ = 0.04 × C

Therefore the volume charge density of a substance (ρ) is 0.04 × C.

v=ir = 3x15 =45 v

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