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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

Respuesta :

fahadisahadam

Answer:

A. [tex]2.26*10^{5} Nm^{2} /C[/tex]

Explanation:

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

Therefore:

φ[tex]=\frac{q}{E_{0} }[/tex]

charge:  [tex]q=2.00uC,q=2.00*10^{-6} C[/tex]

[tex]E_{0} =8.85*10^{-12} Nm^{2} /C[/tex] ,

φ=[tex]\frac{q}{E_{0} }[/tex]

substitute the values

φ=[tex]\frac{2.0*10^{-6}C }{8.85*10^{-12}Nm^{2}/C }[/tex]

φ=[tex]2.26*10^{5} Nm^{2} /C[/tex]

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