4. British physicist James Clerk Maxwell (1831-1879) showed mathematically that light was a propagating wave of electric and magnetic fields. Reminder: €, = 8.854 x 10-¹2 C²/(Nm²), Ho = 1.256 x 10-6 N/A², and the speed of light is c = 3 x 108 m/s. a. The average magnetic field due to sunlight at the equator is B = 2 x 10-6 T. Determine the average magnetic energy density at the equator. (*) b. In an electromagnetic wave the magnitude of the electric field is equal to the magnetic field multiply by the speed of light: E = CB. Determine the average electric energy density at the equator.

Principles of Physics: A Calculus-Based Text
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Chapter24: Electromagnetic Waves
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4. British physicist James Clerk Maxwell (1831-1879) showed mathematically that light was a propagating wave of
electric and magnetic fields. Reminder: €, = 8.854 x 10-12 C²/(Nm²), Mo = 1.256 x 10-6 N/A², and the speed
of light is c = 3 x 108 m/s.
a. The average magnetic field due to sunlight at the equator is B = 2 x 10-6 T. Determine the average magnetic
energy density at the equator.
b. In an electromagnetic wave the magnitude of the electric field is equal to the magnetic field multiply by the
speed of light: E = CB. Determine the average electric energy density at the equator.
Note this relation between E and B is only true in a propagating electromagnetic wave leading to the same
electric and magnetic energy density. This is not true for general electric and magnetic fields.
Transcribed Image Text:4. British physicist James Clerk Maxwell (1831-1879) showed mathematically that light was a propagating wave of electric and magnetic fields. Reminder: €, = 8.854 x 10-12 C²/(Nm²), Mo = 1.256 x 10-6 N/A², and the speed of light is c = 3 x 108 m/s. a. The average magnetic field due to sunlight at the equator is B = 2 x 10-6 T. Determine the average magnetic energy density at the equator. b. In an electromagnetic wave the magnitude of the electric field is equal to the magnetic field multiply by the speed of light: E = CB. Determine the average electric energy density at the equator. Note this relation between E and B is only true in a propagating electromagnetic wave leading to the same electric and magnetic energy density. This is not true for general electric and magnetic fields.
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