Question

Electric charge produces an electric field, and the flux of that field passing through any closed surface is proportional to the total charge contained within that surface. In other words, if you have a real or imaginary closed surface of any size and shape and there is no charge inside the surface, the electric flux through the surface must be zero.
(i) In your own understanding kindly represent the above statement to its mathematical formula.

Answer 1

Sention ht uner To show The bless of a bield passing through any cloud qurface is proportional to the total charge contained within that Surface ive Let we have a spherical surface fawing a charge q contained within the surface We know that the electric field is given by the formula -- El qoz etto Let the charge be placed at the origin,

also, we have de fE rñda on the surface of the sphere, n=2 and & R then equan & becomes - do = 8 inda ute RBA the not Alue through the sphere can be obtained by integrating equan that the *** the copy dhe weten 2 (41) = het That ytlo Thus, the Charge change blue us directly proportional to the and can be zero ut there is no contained within the surface