Electric field outside a long wire carrying charge q is proportional to:
1r13/2
1r
1r13/5
1r2
Solution:
Using Gauss Law across the cylindrical Gaussian surface, ∫E.dS=qenc/ε0 ∴E × 2πr × l = λ × l/ε0 ∴E = λ/2πrε0 Here λ is the linear charge density on the wire.