Question

The electric field of an electromagnetic wave traveling in the vacuum of space is described by...

The electric field of an electromagnetic wave traveling in the vacuum of space is described by E = (4.60 ✕ 10−3) sin(kx − ωt) V/m.

(a) What is the maximum value of the associated magnetic field for this electromagnetic wave? ____T

(b) What is the average energy density of the wave? ___J/m3

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Answer #1

a)

B = E/c

B = (4.60e-3)/(3e8)

B = 1.53 x 10^-11 T

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b)

u = E^2/(2 u0 c^2)

u = (4.60e-3)^2/((2)*(4*3.1416e-7)*(3e8)^2)

u = 9.35 x 10^-17 J/m^3

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