If the total charge inside a closed surface is known but the distribution of the charge is unspecified, can you use Gauss’s law to find the electric field? Explain

Point charge Q1 has a value of 6.35 × 10-5 Coulombs and is located at (0,0). Point charge Q2 has a value of – 5.76 × 10-6 Coulombs and is located at ( 1.06 meters, 0). Where (in meters) on the x axis would the combined electric field of Q1 and Q2 equal zero?

If you know the electric field everywhere on a closed surface, can you calculate the quantity of charge enclosed by the surface? Name the law that allows you to perform this calculation

using Gauss’s Law please  find the electric field due to an infinite line of charge with constant charge density λ Coloumbs per metre. Also why it is important that the line of charge is infinite?

Two large rectangular sheets of charge of side L are separated by a distance d (d << L) have a surface charge density of 4.3 μC/m2. Take +x to be to the right.σ = 4.3 μC/m2 a)Enter the value of the electric field, in newtons per coulomb, at point A. Assume point A is 0.1 d from the surface of the left sheet.  b) Enter the value of the electric field, in newtons per coulomb, at point B. Assume point B is 0.25 d from the surface of the left sheet.  c)Enter the value of the electric field, in newtons per coulomb, at point D. Assume point D is 0.1 d from the surface of the right sheet.

Applying Gauss’s Law, demonstrate that a field outside a charged solid sphere (q=total charge over the sphere) at a distance r from the center has the following formula: E=kq/r2