Answer:
4.52 x 10⁵ Nm²/C
Step-by-step explanation:
The electric flux Ф through a sphere of surface area A in an electric field E is given by;
Ф = E x A ----------------------(i)
But first, let's calculate the electric field (E) of the charge (Q) as follows;
E = k x
---------------------(ii)
Where;
k = electric constant = 8.99 x 10⁹ Nm²/C²
r = radius of the sphere = 1.00m
Q = 4.00μC = 4.00 x 10⁻⁶C
Substitute these values into equation (ii) as follows;
E = 8.99 x 10⁹ x
E = 35.96 x 10³ N/C
Secondly let's calculate the surface area (A) of the sphere as follows;
A = 4 π r² -----------------------(iii)
Where;
r = radius of the sphere = 1.0m
Take π = 3.142
Substitute these values into equation(iii) as follows;
A = 4 x 3.142 x 1.00²
A = 12.568 m²
Now let's calculate the electric flux through the sphere as follows;
Substitute the values of A and E into equation (i) as follows;
Ф = E x A
Ф = 35.96 x 10³ x 12.568
Ф = 451.94 x 10³
Ф = 4.52 x 10⁵ Nm²/C
Therefore the electric flux through the sphere is 4.52 x 10⁵ Nm²/C