Electrostatics

Guss's theorem of vector calculus connects

• volume integral with surface integral

• surface integral of divergence of a vector with volm integral of a scalar

• surface integral of divergence of a vector with volm integral of the same vector

• surface integral of divergence of a vector with volm integral of a different vector

Physical meaning of Guss's law of electrostatics is

• Net outward flux through a closed surface is equal to charge enclosed by the volume element

• Net inward flux through a closed surface is equal to charge enclosed by the volume element

• Net outward flux through a closed surface is equal to charge density enclosed

• Net flux through a closed surface is equal to charge density enclosed

Differential form of Guass's law is

• div.E=0

• div.E=charge density/epsilon-0

• div.E=charge/epsilon-0

• div.E=charge/epsilon of medium

Electric monopole

• can exist as div of E is non zero

• can exist as div of E is zero

• can not exist as div of E is non zero

• can not exist as div of E is zero

• D<C<B<A

• D>C>B>A

• A<B=C<D

• C<A=B<D

Total electric flux for the following closed surface which is kept inside water

• A

• B

• C

• D

• Less than before

• Same as before

• More than before

• Zero

• 1=4<2<3

• 2=4<3<1

• 2=3<1<4

• 3<1<2<4

• A

• B

• C

• D

• A1 and A2

• B1 and B2

• Both directions

• No stable