A 7.0 * 10-9 C point charges at the center of a 5.0 cm radius sphear. What is the electric flux through the sphere surface?
Electric field of sphere = Q4πϵοR2\dfrac{Q}{4\pi\epsilon_{\omicron}R^2}4πϵοR2Q
Surface area of sphere = 4πR24\pi R^24πR2
Flux === E×areaE\times areaE×area
=Q4πϵοR2×4πR2\space\space\space\space\space\space\space=\dfrac{Q}{4\pi\epsilon_{\omicron}R^2}\times4\pi R^2 =4πϵοR2Q×4πR2
=Qϵο\space\space\space\space\space\space\space=\dfrac{Q}{\epsilon_{\omicron}} =ϵοQ
=7×10−98.8×10−12=7.95×102 Nm2/C\space\space\space\space\space\space\space=\dfrac{7\times10^{-9}}{8.8\times10^{-12}}=7.95\times10^2\space Nm^2/C =8.8×10−127×10−9=7.95×102 Nm2/C
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