Exam
... u =(z x, 0, 0). Make sure the result agrees with the divergence calculated using Cartesian coordinates. Verify the divergence theorem for this field, with volume V equal to the part of the cylinder x2+y2≤4 lying in the y≥0 space, between planes z=0 and z=1. 5. (9) Consider a sphere of radius R with ...
... u =(z x, 0, 0). Make sure the result agrees with the divergence calculated using Cartesian coordinates. Verify the divergence theorem for this field, with volume V equal to the part of the cylinder x2+y2≤4 lying in the y≥0 space, between planes z=0 and z=1. 5. (9) Consider a sphere of radius R with ...
Larmor`s Formula
... “Larmor’s formula”, using a classical treatment due to J.J. Thomson and revived by Malcolm Longair. The ab initio derivation using Maxwell’s equations gives the same result. We start by taking a stationary charge at rest at time t = 0. The field lines from that charge have the simple configuration s ...
... “Larmor’s formula”, using a classical treatment due to J.J. Thomson and revived by Malcolm Longair. The ab initio derivation using Maxwell’s equations gives the same result. We start by taking a stationary charge at rest at time t = 0. The field lines from that charge have the simple configuration s ...
... where E and B are both functions of time alone. Show that this equation is a form a Faraday's law (from general physics) assuming that the average magnetic flux through the circular loop is twice that on the boundary. ...
... where E and B are both functions of time alone. Show that this equation is a form a Faraday's law (from general physics) assuming that the average magnetic flux through the circular loop is twice that on the boundary. ...
Solution to problem 2
... Notice that the potentials are not uniquely determined; one may always perform a gauge transformation, φ → φ + ∂t Γ and A → A − ∇Γ, and find the same electric and magnetic fields. Four-potential. To write it in the special relativistic language, one introduces the four-potential Aµ = (φ, A). Its gau ...
... Notice that the potentials are not uniquely determined; one may always perform a gauge transformation, φ → φ + ∂t Γ and A → A − ∇Γ, and find the same electric and magnetic fields. Four-potential. To write it in the special relativistic language, one introduces the four-potential Aµ = (φ, A). Its gau ...
