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 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 is the effect of increasing the radius of the Gaussian surface enclosing a charged sphere?
Outside the sphere, the electric field decreases proportionally to the inverse square of the radius.
What happens to the electric field inside a uniformly charged sphere as you move from the center to the surface?
The electric field increases linearly with the distance from the center until r = R (the radius of the sphere).
What happens to the electric potential inside a conductor?
The electric potential is constant inside the conductor.
What is the effect of the total enclosed charge being zero within a Gaussian surface?
The electric field is zero.