Understanding Electric Flux and Gauss's Theorem

What is the definition of electric flux?

• Electric flux is the measure of current flow in a conductor.

• Electric flux is the total charge in a circuit.

• Electric flux is the product of the electric field and the area through which it passes, considering the angle between them.

• Electric flux is the resistance offered by a material to electric flow.

How is electric flux mathematically expressed?

• Φ_E = Q + ε₀

• Φ_E = Q / ε₀

• Φ_E = Q * ε₀

• Φ_E = ε₀ / Q

State Gauss's theorem in your own words.

• The total divergence of a vector field is equal to the surface integral of the flux.

• The total flux of a vector field through a closed surface equals the volume integral of the divergence of the field.

• The divergence of a vector field is constant throughout the entire volume.

• The flux through a closed surface is always zero regardless of the field.

What is the significance of Gauss's theorem in electrostatics?

• Gauss's theorem is primarily applicable in quantum mechanics for particle interactions.

• Gauss's theorem is used to calculate magnetic fields in dynamic systems.

• Gauss's theorem is significant in electrostatics as it provides a method to calculate electric fields from charge distributions, particularly for symmetric geometries.

• Gauss's theorem states that electric fields are uniform regardless of charge distribution.

How do you calculate the electric field due to an infinitely long straight wire?

• E = λ/(4πε₀r)

• E = λ/(2πε₀r)

• E = λ/(ε₀r²)

• E = 2λ/(πε₀r²)

What is the formula for the electric field around an infinite wire?

• E = (μ₀I / (2πr))

• E = (λ / (2πr))

• E = (λ / (4πε₀r))

• E = (λ / (2πε₀r))

Describe the direction of the electric field produced by an infinite straight wire.

• The electric field direction is radial; outward for positive charge and inward for negative charge.

• The electric field direction is only vertical.

• The electric field direction is constant in all directions.

• The electric field direction is circular around the wire.

What is the electric field due to a uniformly charged infinite plane sheet?

• E = σ/ε₀

• E = σ/(4ε₀)

• E = σ/(2ε₀)

• E = 0

How does the electric field behave near an infinite plane sheet?

• The electric field varies with distance from the sheet.

• The electric field is uniform and perpendicular to the sheet.

• The electric field is only present on one side of the sheet.

• The electric field is zero everywhere.

What is the formula for the electric field due to a uniformly charged plane sheet?

• E = σ / (4ε₀)

• E = σ / (2ε₀)

• E = 2σ / ε₀

• E = σ / ε₀