The oscillating magnetic field in a plane electromagnetic wave is give

1.	The oscillating magnetic field in a plane electromagnetic wave is given by By = (8 x10-6)sin[2 x1011t + 300πx]T(i) Calculate the wavelength of the electromagnetic wave.(ii) Write down the expression for the oscillating electric field.
Answer» (i) Standard equation of magnetic field is B_y = B₀sin(ωt + kx)T Comparing this equation with the given equation, we get B₀ = 8 x 10^-6T, ω = 2 x 10¹¹ rad s^-1, k = 2π/λ = 300π wavelength λ = 2π/300π = 1/150m (ii) E₀B₀c = 8 x 10^-6 x 3 x 10⁸ = 2.4 x 10³Vm. According to right hand system of vector E, vector B, vector K, the electric field oscillates along negative Z-axis, so equation is E_z = - 2.4 x 10³sin(2 x 10¹¹t + 300πx)Vm^-1.

The oscillating magnetic field in a plane electromagnetic wave is given by By = (8 x10-6)sin[2 x1011t + 300πx]T(i) Calculate the wavelength of the electromagnetic wave.(ii) Write down the expression for the oscillating electric field.

Answer»

(i) Standard equation of magnetic field is

B_y = B₀sin(ωt + kx)T

Comparing this equation with the given equation, we get

B₀ = 8 x 10^-6T, ω = 2 x 10¹¹ rad s^-1, k = 2π/λ = 300π

wavelength λ = 2π/300π = 1/150m

(ii) E₀B₀c = 8 x 10^-6 x 3 x 10⁸ = 2.4 x 10³Vm.

According to right hand system of vector E, vector B, vector K, the electric field oscillates along negative Z-axis, so equation is

E_z = - 2.4 x 10³sin(2 x 10¹¹t + 300πx)Vm^-1.

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The oscillating magnetic field in a plane electromagnetic wave is given by By = (8 x10-6)sin[2 x1011t + 300πx]T(i) Calculate the wavelength of the electromagnetic wave.(ii) Write down the expression for the oscillating electric field.

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