1. [8-pts] Consider the differential forms of Maxwell\'s equations OB Ot Ot 1. R
ID: 1780179 • Letter: 1
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1. [8-pts] Consider the differential forms of Maxwell's equations OB Ot Ot 1. Rewrite Maxwell's equations for the case of electrostatics 2. Rewrite Maxwell's equations for the special case of a vacuum 3. Briefly compare the two cases, pointing out physically important differences 2. [8-pts] Once you've rewritten Maxwell's equations for a vacuum, recall that those equations lead directly to wave solutions. Below is a figurel1 of an electromagnetic wave in a vacuum Note the geometric relationship between the electric and magnetic components of the wave. Using Maxwell's equations in a vacuum explain why the electric and magnetic field vectors are always at right angles. [Hint think about the right-hand ruleExplanation / Answer
1. given maxwell's equations
del . E = rho/eo
del . B = 0
del x E = -dB/dt
del x B = muo(J + eo*dE/dt)
now for electrostats the time derivatives electric field and magnetic flux become zero
hence the maxwell's equations become
del . E = rho/eo
del . B = 0
del x E = 0
del x B = muo*J
for free space in vaccum
there are no charges
hence
del . E = 0
del . B = 0
del x E = -dB/dt
del x B = dE/c^2*dt
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