Question

A charge q = 2.00 μC is placed at the origin in a region where there is already a uniform electric field = (100 N/C) î. Calculate the flux of the net electric field through a Gaussian sphere of radius R = 10.0 cm centered at the origin. (ε0 = 8.85 × 10-12 C2/N ∙ m2)

Answer 1

`\phi = 2.26 * 10^5 Nm^2/C`

Step-by-step explanation:

Due to uniform electric field net flux through a closed surface is always zero

so here we have to find the net flux through a sphere due to a point charge placed at origin and due to a uniform electric field

so here we will have

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

now we have

`\phi = (2 * 10^(-6))/(8.85 * 10^(-12))`

`\phi = 2.26 * 10^5 Nm^2/C`

Due to external uniform field the electric flux is zero

so the total flux is only due to charge and it is equal to

`\phi = 2.26 * 10^5 Nm^2/C`