All Flashcards
Label the diagram of the Gaussian surface enclosing a line of charge.
1: Line of charge, 2: Cylindrical Gaussian surface, 3: Radius (r), 4: Length (L)
Label the diagram of the Gaussian surface enclosing a sphere.
1: Sphere of charge, 2: Spherical Gaussian surface, 3: Radius (r)
Label the diagram of the Gaussian surface enclosing an insulating sheet of charge.
1: Insulating sheet, 2: Rectangular Gaussian surface, 3: Area (A)
What is the difference between calculating the electric field due to a point charge versus an extended charge distribution?
Point Charge: Use Coulomb's Law directly, . Extended Charge: Break charge into dq, find dE, and integrate.
What is the difference between using Gauss' Law for a fully enclosed sphere versus a sphere that is not fully enclosed?
Fully Enclosed: The enclosed charge is simply the total charge. Not Fully Enclosed: The enclosed charge depends on the radius, and the electric field is proportional to r until r = R.
Compare and contrast calculating electric potential vs. electric field.
Electric Field: Vector quantity, calculated by summing (or integrating) vector components. Electric Potential: Scalar quantity, calculated by summing (or integrating) scalar components.
What are the key differences between using Gauss' Law for a conducting sphere versus an insulating sphere?
Conducting Sphere: Charge resides only on the surface. Insulating Sphere: Charge can be distributed throughout the volume.
Compare and contrast linear charge density (λ) and area charge density (σ).
λ: Charge per unit length (Q/L), used for lines. σ: Charge per unit area (Q/A), used for sheets.