Physics · College

College Physics: Electricity and Magnetism

Calculus-based electricity and magnetism concepts including Gauss's law, circuits, and Maxwell's equations for a college physics sequence.

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What is Coulomb's law?
The force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them.
Define electric field.
The force per unit positive test charge exerted at a point in space.
What is the electric field at distance r from a point charge q?
E = kq/r^2, where k is Coulomb's constant.
What does the superposition principle say about electric fields?
The net electric field at a point is the vector sum of fields due to individual charges.
What do electric field lines represent?
The direction of the field at each point, with density indicating relative strength.
State Gauss's law.
Electric flux through a closed surface equals the enclosed charge divided by epsilon-0.
What is the electric field of an infinite uniformly charged plane?
E = sigma/(2*epsilon-0), perpendicular to the plane, where sigma is surface charge density.
What is the electric field outside a uniformly charged spherical shell?
E = kQ/r^2, same as a point charge at the center.
What is the electric field inside a uniformly charged spherical shell?
E = 0 everywhere inside.
What is the electric field of an infinite uniformly charged cylinder?
E = lambda/(2*pi*epsilon-0*r) perpendicular to the axis, where lambda is linear charge density.
Define electric potential.
The work per unit positive charge required by an external agent to move a test charge from a reference point to a given point.
What is the electric potential at distance r from a point charge q?
V = kq/r
Define equipotential surfaces.
Surfaces on which the electric potential is constant at every point.
What is the relationship between electric field and electric potential?
E = -dV/dr, the electric field is the negative gradient of the potential.
Define capacitance.
The ratio of charge stored on one plate to the potential difference between the plates.

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