Question

The magnetic field of an electromagnetic plane Wave travelling along the negative X—direction is given by By = 2*10⁻⁷sin (0.5*10³x+1.5*10¹¹t) T. Calculate (a) the wavelength and frequency of the wave. (b) Write the equation of the electric field.
[Ans : λ=1.26cm, f=23.9 GHz, Ez=60 sin(0.5*10³x+1.5*10¹¹t) vm⁻¹]

Answer 1

Answer:

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Answer 2

Answer:

Explanation:

Magnetic field of an electromagnetic plane = 2*10⁻⁷sin (0.5*10³x+1.5*10¹¹t) T

Thus,

On comparing the given equation with By = Bo sin[2π(x/λ+t/T)]

We will get -

λ = 2π/ 0.5×10³m

= 1.26 cm

Now, Frequency = 1/ T

= 1.5 × 10`11/2π

= 23.9GHz

Thus the wavelength of the wave is 1.26 cm and the frequency is 23.9 Ghz.

The equation for electric field is sin(0.5 × 10³x+1.5*10¹¹t) vm⁻¹]