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Suppose that the electric field part of an electromagnetic wave in vacuum is $E=\{(3.1$ $\left.\mathrm{N} / \mathrm{C}) \cos \left[(1.8 \mathrm{rad} / \mathrm{m}) \mathrm{y}+\left(5.4 \times 10^{6} \mathrm{rad} / \mathrm{s}\right) \mathrm{t}\right]\right\}^{\wedge} \mathrm{i}$. Write an expression for the magnetic field part of the wave.
Suppose that the electric field part of an electromagnetic wave in vacuum is $E=\{(3.1$ $\left.\mathrm{N} / \mathrm{C}) \cos \left[(1.8 \mathrm{rad} / \mathrm{m}) \mathrm{y}+\left(5.4 \times 10^{6} \mathrm{rad} / \mathrm{s}\right) \mathrm{t}\right]\right\}^{\wedge} \mathrm{i}$. Write an expression for the magnetic field part of the wave.
CBSE | Class 12 | Electromagnetic Waves | NCERT | Physics
Suppose that the electric field part of an electromagnetic wave in vacuum is $E=\{(3.1$ $\left.\mathrm{N} / \mathrm{C}) \cos \left[(1.8 \mathrm{rad} / \mathrm{m}) \mathrm{y}+\left(5.4 \times 10^{6} \mathrm{rad} / \mathrm{s}\right) \mathrm{t}\right]\right\}^{\wedge} \mathrm{i}$. Write an expression for the magnetic field part of the wave.

Magnetic wave is directed along the negative z-direction.

Thus, 

$B_{z}=B_{0} \cos (k y+\omega t)^{2} k=\left{(10.3 \mathrm{nT}) \cos \left[(1.8 \mathrm{rad} / \mathrm{m}) \mathrm{y}+\left(5.4 \times 10^{6} \mathrm{rad} / \mathrm{s}\right) \mathrm{t}\right]\right} \mathrm{k}^{\wedge}$

i

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