Question

Some planetary scientists have suggested that the planet mars has an electric field somewhat similar to that of the earth, producing a net electric flux of 3.66×1016 n⋅m2/c into the planet's surface. part a calculate the total electric charge on the planet.

Answer 1

see attached file for the solution.

Answer 2

Electric charge, q = 323910 C

Step-by-step explanation:

It is given that,

Net electric flux,
`\phi=3.66* 10^(16)\ Nm^2/C`

We have to find the total electric charge on the planet. We can find it using Gauss's law. It is as follows :

`\phi=(q)/(\epsilon_0)`

where

q is the net electric charge

`\epsilon_0` is the electric permeability

So, net electric charge is given by :

`q=\phi* \epsilon_0`

`q=3.66* 10^(16)\ Nm^2/C* 8.85* 10^(-12)\ F/m`

`q=323910\ C`

Hence, this is the required solution.