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

The flux of the net electric field is
`2.26*10^(5)\ Nm^2/C`

Step-by-step 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=(q)/(\epsilon_(0))`

`\phi=(2.00*10^(-6))/(8.85*10^(-12))`

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

Hence, The flux of the net electric field is
`2.26*10^(5)\ Nm^2/C`