The proportionality constant in Gauss's Law is 1/ε0, where ε0 is the permittivity of free space.

The electric flux through a spherical surface of radius r due to a point charge q at the center is given by Φ = q/ε0. Substituting the values, we get Φ = (1 μC)/(8.85 × 10^-12 C^2/Nm^2) = 100 N⋅m^2/C.

The electric flux through a surface is given by Φ = EA, where E is the electric field strength and A is the area of the surface. Substituting the values, we get Φ = (100 N/C)(0.2 m^2) = 20 N⋅m^2/C.

The electric field of a uniformly charged sphere is given by E = kQ/r^2, where k is Coulomb's constant, Q is the total charge of the sphere, and r is the distance from the center of the sphere.

Gauss's Law for Electric Fields is one of the four Maxwell's equations that describe the behavior of electric and magnetic fields.

The electric potential of a point charge is given by V = kQ/r, where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

The electric field inside a hollow conducting sphere is zero.

The electric field inside a solid conducting sphere is given by E = kQ/r, where r is the distance from the center of the sphere.

The capacitance of a parallel-plate capacitor is given by C = ε0A/d, where ε0 is the permittivity of free space, A is the area of the plates, and d is the separation between the plates.

The inductance of a solenoid is given by L = μ0N^2A/L, where μ0 is the permeability of free space, N is the number of turns, A is the cross-sectional area of the solenoid, and L is the length of the solenoid.

Gauss's Law relates the electric field to the charge distribution. It states that the electric flux through any closed surface is proportional to the total charge enclosed by the surface.

Gauss's Law can be used to calculate the electric field of a charge distribution, the electric potential of a charge distribution, the capacitance of a capacitor, and the inductance of a solenoid.

Gauss's Law was formulated by Carl Friedrich Gauss in the 19th century.

Gauss's Law was formulated by Carl Friedrich Gauss in the 19th century.