The inward and outward electric flux from a closed surface are respectively 8 × 103 and 4 × 103 units. Then the net charge inside the closed surface is –– 4 × 103 coulomb4 × 103 coulomb–4 × 103 ε0 coulomb
Question
The inward and outward electric flux from a closed surface are respectively 8 × 103 and 4 × 103 units. Then the net charge inside the closed surface is –– 4 × 103 coulomb4 × 103 coulomb–4 × 103 ε0 coulomb
Solution
The net electric flux through a closed surface is given by Gauss's law, which states that the total electric flux through a closed surface is equal to 1/ε0 times the net charge enclosed by the surface. Mathematically, this is represented as:
Φ = Q/ε0
where: Φ is the net electric flux, Q is the net charge enclosed by the surface, and ε0 is the permittivity of free space.
In this case, the net electric flux is the difference between the inward and outward fluxes, which is (8 × 10^3 - 4 × 10^3) = 4 × 10^3 units.
So, we can set up the equation as follows:
4 × 10^3 = Q/ε0
Solving for Q gives:
Q = 4 × 10^3 * ε0
So, the net charge inside the closed surface is 4 × 10^3 * ε0 coulombs.
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