Answer to Question #122260 in Electricity and Magnetism for Dheeraj

Question #122260
A plane e.m. wave is travelling in an lossless dielectric medium having μ = 2, ε = 3
and has peak value electric field intensity of 6 V/m . The velocity of wave is
1
Expert's answer
2020-06-21T20:04:20-0400

As per the question

μ=2\mu=2 &ϵ=3\epsilon =3

We know that v=1μμoϵϵo=cμϵv=\frac{1}{\sqrt{\mu\mu_o \epsilon \epsilon_o}}=\frac{c}{\sqrt{\mu \epsilon}}

where, 1μoϵo=c\frac{1}{\sqrt{\mu_o \epsilon_o}}=c

Each terms have its usual meaning,

Now,

v=3×108m/sec6\Rightarrow v=\frac{3\times 10^{8}m/sec}{\sqrt{6}}

v=1.22×108m/sec\Rightarrow v = 1.22 \times 10^{8} m/sec


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