Question

4. A cylinder has a radius of 2.1cm and a length of 8.8cm. Total charge 6.1×10−7 C is distributed uniformly throughout. The volume charge density is:

Answer 1

Answer:

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.