Exploring Electric Flux and Gauss's Law

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

• Gauss's Law relates magnetic flux to electric current through a surface.

• Gauss's Law is mathematically expressed as Φ_E = Q_enc / ε_0, where Φ_E is the electric flux, Q_enc is the enclosed charge, and ε_0 is the permittivity of free space.

• Gauss's Law is expressed as E = F/q, where E is electric field, F is force, and q is charge.

• Gauss's Law states that electric field strength is constant throughout a closed surface.

Describe a scenario where Gauss's Law can be applied to find the electric field.

• The electric field inside a charged conductor can be found using Gauss's Law.

• The electric field between two parallel plates can be determined using Gauss's Law.

• The electric field outside a uniformly charged spherical shell can be found using Gauss's Law.

• The electric field due to a point charge can be calculated using Gauss's Law.

Calculate the electric flux through a closed surface surrounding a point charge of 5 µC.

• 5.65 x 10^5 N·m²/C

• 4.50 x 10^5 N·m²/C

• 3.20 x 10^5 N·m²/C

• 6.30 x 10^5 N·m²/C

How does the electric field behave inside a uniformly charged spherical shell?

• The electric field inside a uniformly charged spherical shell points towards the center.

• The electric field inside a uniformly charged spherical shell is uniform.

• The electric field inside a uniformly charged spherical shell is proportional to the charge on the shell.

• The electric field inside a uniformly charged spherical shell is zero.

Explain the concept of electric dipoles and their significance in electrostatics.

• Electric dipoles are only found in magnetic fields.

• Electric dipoles are pairs of equal and opposite charges separated by a distance, significant in electrostatics for their interactions with electric fields.

• Electric dipoles have no effect on surrounding charges.

• Electric dipoles consist of three charges instead of two.

What is the formula for the electric field due to a dipole at a point along its axial line?

• E = (1/(4πε₀)) * (2p)/(r^3)

• E = (1/(4πε₀)) * (p)/(r^3)

• E = (1/(4πε₀)) * (3p)/(r^4)

• E = (1/(4πε₀)) * (p)/(r^2)

Calculate the electric field at a point 0.1 m away from a dipole with a dipole moment of 2 × 10⁻⁹ C·m.

• 1.8 × 10⁴ N/C

• 2.5 × 10⁴ N/C

• 1.2 × 10⁴ N/C

• 3.0 × 10⁴ N/C

How does the orientation of a dipole in an electric field affect the torque experienced by it?

• The torque is only affected by the strength of the electric field.

• The torque decreases as the dipole aligns with the electric field.

• The torque remains constant regardless of the dipole's orientation.

• The torque increases as the dipole moves away from alignment with the electric field.

Define electric flux and explain its relation to electric field lines.

• Electric flux is the total charge within a surface area.

• Electric flux is the force experienced by a charged particle in an electric field.

• Electric flux is a measure of the quantity of electric field lines passing through a given surface area. It is defined mathematically as the product of the electric field (E) and the area (A) through which the field lines pass, adjusted for the angle (θ) between the field lines and the normal to the surface: Φ = E · A · cos(θ).

• Electric flux is the speed of electric field lines in a vacuum.

If the electric field is uniform, how is the electric flux calculated through a surface?

• Φ = E * A * cos(θ)

• Φ = E - A

• Φ = E / A

• Φ = E + A