Understanding Electric Charge and Field

What is Coulomb's Law and how is it mathematically expressed?

• F = k * (q1 + q2) / r

• F = k * |q1 * q2| * r^2

• F = k * |q1 * q2| / r^2

• F = k * (q1 - q2) / r

Calculate the force between two charges of +3 µC and -2 µC separated by a distance of 0.5 m using Coulomb's Law.

• 0.045 N

• 0.10788 N

• 0.215 N

• 0.300 N

Explain the significance of the electrostatic constant in Coulomb's Law.

• The electrostatic constant is significant as it quantifies the strength of the electrostatic force in Coulomb's Law.

• It is only relevant in magnetic fields.

• It determines the mass of charged particles.

• It has no impact on the distance between charges.

What is the principle behind Gauss's Law?

• The electric flux through a closed surface is proportional to the enclosed charge.

• The electric field is constant throughout a closed surface.

• The total charge is always zero in any closed surface.

• The magnetic flux through a closed surface is proportional to the enclosed charge.

State Gauss's Law in mathematical form.

• ∮ E · dA = ε₀ / Q_enc

• ∮ E · dA = Q_enc / ε₀

• E = Q_enc / (4πε₀r²)

• ∮ E · dA = 0

How can Gauss's Law be applied to find the electric field due to a uniformly charged sphere?

• E = Q/(4πε₀r²) for r > R; E = 0 for r < R

• E = Q/(4πε₀r³) for all r

• E = 0 for r > R; E = Q/(4πε₀r²) for r < R

• E = Q/(2πε₀r) for r > R; E = Q/(4πε₀R²) for r < R

Describe the relationship between electric field and electric flux as per Gauss's Law.

• Electric field is independent of electric flux.

• Electric flux is the same as electric potential.

• Electric flux is proportional to the electric field and the area through which it passes, as described by Gauss's Law.

• Electric field decreases with increasing area.

What is the electric field due to an infinite plane sheet of charge?

• E = σ / (4ε₀)

• E = σ / (2ε₀)

• E = 0

• E = σ / ε₀

How does the electric field behave inside a conductor in electrostatic equilibrium?

• The electric field inside a conductor is constant.

• The electric field inside a conductor in electrostatic equilibrium is zero.

• The electric field inside a conductor varies with distance from the surface.

• The electric field inside a conductor is uniform and non-zero.

Explain how to derive the electric field due to a line charge using Gauss's Law.

• E = λ/(2πr)

• E = λ/(4πε₀r)

• E = λ/(2πε₀r)

• E = λ/(ε₀r²)