Question

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?

Answer 1

The answer for the following problem is explained below.

Therefore the volume charge density of a substance (ρ) is 0.04 × $10^{-1}$ C.

Explanation:

Given:

radius (r) =2.1 cm = 2.1 ×$10^{-2}$ m

height (h) =8.8 cm = 8.8 ×$10^{-2}$ m

total charge (q) =6.1×$10^{-7}$ 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 ×$10^{-4}$ × 8.8 ×$10^{-2}$

volume of cylinder (v) = 122.23 ×$10^{-6}$

ρ =q ÷ v

ρ = 6.1×$10^{-7}$ ÷   122.23 ×$10^{-6}$

ρ = 0.04 × $10^{-1}$ C

Therefore the volume charge density of a substance (ρ) is 0.04 × $10^{-1}$ C.