Question

A charge q = 2.00 μC is placed at the origin in a region where there is already a uniform electric field E⃗ = (100 N/C) iˆ . Calculate the flux of the net electric field through a Gaussian sphere of radius R = 10.0 cm centered at the origin. (ε 0 = 8.85 × 10-12 C2/N · m2)

Answer 1

Answer:

The flux of the net electric field is $2.26\times10^{5}\ Nm^2/C$

Explanation:

Given that,

Charge $q= 2.00 \mu C$

Electric field E = 100 N/C i

Radius R = 10.0 cm

We need to find the flux. It can be calculate using Gauss's law

The flux of the net electric field

$\phi=\dfrac{q}{\epsilon_{0}}$

$\phi=\dfrac{2.00\times10^{-6}}{8.85\times10^{-12}}$

$\phi=2.26\times10^{5}\ Nm^2/C$

Hence, The flux of the net electric field is $2.26\times10^{5}\ Nm^2/C$