Electrostatics, Gauss law, magnetostatics, induction, Maxwell equations, electromagnetic waves and Poynting vector.
40 cards · basic cards · AI-written, checked twice. Edit anything.
- State Coulomb's law for the force between two point charges.
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F = (1/4*pi*epsilon_0) * q1*q2/r^2 directed along the line connecting them.- How is the electric field defined in terms of force on a test charge?
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E = F/q, the force per unit charge.- What is the electric field at distance r from a point charge q?
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E = (1/4*pi*epsilon_0) * q/r^2- State the principle of superposition for electric fields.
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The total electric field at a point is the vector sum of fields from all charges.- What does Gauss's law relate?
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It relates the electric flux through a closed surface to the enclosed charge: integral of E*dA = Q_enclosed/epsilon_0- Use Gauss's law to find the electric field at distance r from an infinite uniformly charged plane.
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E = sigma/(2*epsilon_0), where sigma is the surface charge density. Field is perpendicular to plane, independent of r.- How is electric potential defined in terms of electric field?
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V(A) - V(B) = -integral from A to B of E*dl, the negative line integral of E.- What is the relationship between electric field and electric potential?
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E = -dV/dr in 1D, or E = -grad(V) in 3D.- State the Lorentz force law for a charged particle in electric and magnetic fields.
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F = q(E + v cross B)- What is the magnetic field B at distance r from a long straight wire carrying current I?
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B = (mu_0/2*pi) * I/r, circulating around the wire per the right-hand rule.- What is the magnetic field at the center of a circular loop of radius R carrying current I?
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B = mu_0*I/(2*R), perpendicular to the loop plane.- State Ampere's law.
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integral of B*dl around closed loop = mu_0 * I_enclosed- What is the relationship div(B) in magnetostatics?
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div(B) = 0, there are no magnetic monopoles.- State Faraday's law of electromagnetic induction.
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integral of E*dl around closed loop = -d(Phi_B)/dt, the induced EMF equals the negative rate of change of magnetic flux.- What does Lenz's law state about the direction of induced current?
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The induced current opposes the change in magnetic flux that caused it.
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