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Practice each question, then open the answer or worked solution.
A plane EM wave travelling in vacuum along z-direction is given by
a) evaluate
over the rectangular loop 1234 shown in the figure
b) evaluate
over the surface bounded by loop 1234
c) use equation
to prove E0/B0 = c
d) by using a similar process and the equation
, prove that
a)
b)
c) Substituting the above equations in the following equation we get
E0/B0 = 0
d)
We get c = 1/√μ0ε0
A plane EM wave travelling along z-direction is described by
Show that,
i) the average energy density of the wave is given by
ii) the time-averaged intensity of the wave is given by
i) The energy density due to electric field E is
uE = 1/2 ε0E2
The energy density due to magnetic field B is
uB = 1/2 B2/μ0
The average energy density of the wave is given by:
ii) We know that c=1/√μ0ε0
The time-averaged intensity of the wave is given as
Electromagnetic waves are also called waves which occur in the electromagnetic field containing powerful electromagnetic radiant energy. Electromagnetic radiation is the medium where the waves exist and can traverse through space, moving at the speed of light. Some of the different types of electromagnetic waves are
Check out the NCERT Exemplar Class 12 Physics Chapter 8 Electromagnetic waves, available in PDF format below.