State Gauss' theorem in electrostatics Using this theorem, derive an expression for the electric intensity due to an infinitely - Physics - Electric Charges And Fields

Question

State Gauss' theorem in electrostatics Using this theorem, derive
an expression for the electric intensity due to an infinitely long,
straight wire of linear charge density ʎ Cm-1

Mahak Jain · Accepted Answer

Dear Student, Gauss's theorem: According to Gauss's theorem,the total electric flux over the closed surface S or can say that the surface integral of electrostatic field $\vec{E}$ over S enclosing a volume V in vacuum is $\frac{1}{\in_{0}}$ times the total charge Q contained inside the closed surface S $Φ_{E} = \oint_{S} \vec{E} \vec{d s} = \frac{Q}{\in_{0}}$

State Gauss' theorem in electrostatics. Using this theorem, derive an expression for the electric intensity due to an infinitely long, straight wire of linear charge density ʎ Cm-1 .

State Gauss' theorem in electrostatics. Using this theorem, derive an expression for the electric intensity due to an infinitely long, straight wire of linear charge density ʎ Cm^-1 .