7. A cube sits in the Cartesian coordinate system. Each side of the cubeis 2m. Electric charge is distributed in the cube with a density functionV=xy2e2z(C=m3). Find the total charge in the cube

Net charge inside the cube is 321.6 C

Explanation:

Given charge density function is ρ =

side of cube is 2m

According to the definition of volume charge density total charge is given by

q = total charge = where dv = dxdydz is the volume element

on substututing the respected values we get

q =  

on solving the above integration we get

q =   x x

⇒ q = 321.6 C

Therefore net charge inside the cube is 321.6 C

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