Q coulomb of point charge is placed at the center of a spherical shell of radius R. Find the electric flux of through an area 4π(in SI unit) on the shell surface.
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Answer:
From Gauss law,
ϕ=ε0Qinc
For a spherical shell
→ flux through an area of 4πr2
m2=ε0Q
→ Flux through 1 m2 area =4πR2ε0Q
Also flux through 4πm2=4πR2ε04πQ=R2ε0Q
∴ we can conclude that flux through an area of 4πm2 on a shell is given by =R2ε0Q
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