The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius a centred at the origin of the field will be given by:
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The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius a centred at the origin of the field will be given by:

G1 Physics · Accepted Answer

Step 1: At the Gaussian sphere r = a, field strength E(a) = Aa and is normal to its surface. Step 2: Electric flux Φ = E(a) × 4πa² = 4πAa³. Step 3: By Gauss law qₑₙ = ε₀Φ = 4πε₀Aa³.