Question

A charge Q is located inside a rectangular box The electric flux through each of the six surfaces of the box is 1 2060 Nm2 C2 1590 Nm2 C 3 1690 Nm2 C 4 3430 Nm2 C 5 1870 Nm2 C and 6 5760 Nm2 C What is Q

Answer 1

`Q = 1.45 * 10^(-7) C`

Step-by-step explanation:

Here flux passing through each surface is given

so total flux through whole cube is given by

`\phi = 2060 + 1590 + 1690 + 3430 + 1870 + 5760`

`\phi = 16400 Nm^2 C`

now we also know that total flux through a closed surface depends on the total charge enclosed in the surface

So we will have

`(Q)/(\epsilon_0) = 16400`

`Q = (8.85 * 10^(-12))(16400)`

`Q = 1.45 * 10^(-7) C`