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The magnetic field in a plane …

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The magnetic field in a plane electromagnetic wave is given by By= 12 *10 ^- 8 sin (1.20 * 10 ^ 7 + 3.60 *10 ^15t)T calculate the energy density associated with the electromagnetic wave and speed of the wave
  • 1 answers

Gaurav Seth 6 years, 10 months ago

a)

By = 12 x 10-8 sin [1.20 x 107 z + 3.60 x 1015t]

Now Bo = 12 x 10-8 T and c = 3 x 10 m/s

Since Eo =  Bo c = 12 x 10-8 x 3 x 10 8 = 36 V/m

Energy Density = (1/2) ε0Eo2 = (1/2)(8.85 x 10-12) (36x36)

Energy Density = 5.74 x 10-15 J/m3

 

b)

By = 12 x 10-8 sin [1.20 x 107 z + 3.60 x 1015t]

Now k= 1.2 x 107 and w = 3.6 x 1015

Since, λ = (2π / k) and f = (w / 2π)

V = λ x f = kw = 3 x 108 m/s (approx.)

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