Answer:
Ф = 4.5176x10⁵ N . m² / C
Explanation:
In this case, we need to use two expressions in order to calculate the electric flux of the sphere.
First the Electric flux is calculated using this expression:
Ф = E * A (1)
Where:
E: Electric field
A: Area of the sphere
To get the electric field E, we use this expression:
E = K * q / r² (2)
If we replace (2) into (1) we have the following:
Ф = K * q * A / r² (3)
Finally, we need to know the expression to get the area of a sphere which is the following:
A = 4πr² (4)
Replacing into (3):}
Ф = K * Q * 4πr² / r² discarting r²:
Ф = K * Q * 4π (5)
Now, all we need to do is replace the given values and solve for the electric flux of the sphere:
Ф = 8.98755x10⁹ * 4x10⁻⁶ * 4 * π
<h2>
Ф = 4.5176x10⁵ N . m² / C</h2>
Hope this helps
