Electric flux, statement of Gauss’s theorem and its application to find out the electric field due to an infinitely long & uniformly charged straight wire, a uniformly charged infinite plane sheet, and a uniformly charged thin spherical shell (field inside and outside).
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$\Phi_E = EA$
\[
[E] = \frac{[F]}{[q]}
\]\[
[F] = MLT^{-2}, \qquad [q] = AT
\]\[
[E] = \frac{MLT^{-2}}{AT}
= MLT^{-3}A^{-1}
\]Since
\[
[A] = L^2,
\]we get
\[
[\Phi_E] = [E][A]
\]\[
= \left(MLT^{-3}A^{-1}\right)(L^2)
\]\[
\boxed{[\Phi_E] = ML^3T^{-3}A^{-1}}
\] -
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