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?
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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.
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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?
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E = kq/r^2, where k is Coulomb's constant.- What does the superposition principle say about electric fields?
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The net electric field at a point is the vector sum of fields due to individual charges.- What do electric field lines represent?
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The direction of the field at each point, with density indicating relative strength.- State Gauss's law.
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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?
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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?
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E = kQ/r^2, same as a point charge at the center.- What is the electric field inside a uniformly charged spherical shell?
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E = 0 everywhere inside.- What is the electric field of an infinite uniformly charged cylinder?
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E = lambda/(2*pi*epsilon-0*r) perpendicular to the axis, where lambda is linear charge density.- Define electric potential.
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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?
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V = kq/r- Define equipotential surfaces.
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Surfaces on which the electric potential is constant at every point.- What is the relationship between electric field and electric potential?
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E = -dV/dr, the electric field is the negative gradient of the potential.- Define capacitance.
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The ratio of charge stored on one plate to the potential difference between the plates.
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