All Flashcards
Identify the components needed to calculate the electric field of a ring of charge.
1: Radius of the ring (a), 2: Distance from the center of the ring along the axis (x), 3: Radius vector (r), 4: Charge element (dq).
Identify the components needed to calculate the electric field of a line of charge.
1: Length of the line of charge (L), 2: Distance from the line of charge (x), 3: Position along the line of charge (y), 4: Charge element (dq).
Identify the components needed to calculate the electric field using Gauss' Law for a sphere.
1: Radius of the sphere (R), 2: Gaussian surface (sphere of radius r), 3: Distance from the center (r).
Identify the components needed to calculate the electric field using Gauss' Law for an insulating sheet.
1: Insulating sheet, 2: Gaussian surface (rectangle), 3: Area (A).
What is the effect of increasing the distance from a uniformly charged sphere on the electric field outside the sphere?
The electric field decreases following an inverse square law ().
What happens to the electric field inside a conductor?
The electric field is zero.
What is the effect of symmetry on applying Gauss' Law?
Symmetry simplifies the integral, making it easier to solve for the electric field.
What happens to the electric field outside a charged sphere if the total enclosed charge is zero?
The electric field is zero.
What is the effect of increasing the distance from a line of charge on the electric potential?
The electric potential decreases logarithmically.
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.