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) . Calculate the flux of the net electric field through a Gaussian sphere of radiuscentered at the origin. (ε0= 8.85 × 10-12C2/N.m^2)

a. 2.26 × 10^5 N · m^2/C


b. 5.52 × 10^5 N · m^2/C


c. 1.13 × 105 N · m^2/C


d. zero

Answer 1

A.
`2.26*10^(5) Nm^(2) /C`

Step-by-step explanation:

The flux through the Gaussian sphere of radius centered at the origin,

Therefore:

φ
`=(q)/(E_(0) )`

charge:
`q=2.00uC,q=2.00*10^(-6) C`

`E_(0) =8.85*10^(-12) Nm^(2) /C` ,

φ=
`(q)/(E_(0) )`

substitute the values

φ=
`(2.0*10^(-6)C )/(8.85*10^(-12)Nm^(2)/C )`

φ=
`2.26*10^(5) Nm^(2) /C`