Question

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

Answer 1

p = Charge Volume Density

$p= \frac{q}{v}$

$q = 6.1 \times10^{-7} C$

$v = \pi r^{2} h$

$v = \pi\times 2.1\times 2.1\times8.8\times 10^{-2}$

$v = 122.23\times10^{-6} m^{3}$

$p = \frac{6.1\times 10^{-7}}{122.23\times 10^{-6} }$

$p = 0.04\times10^{-6} C/m^{3}$