1 Electromagnetic Waves
The magnetic field of an electromagnetic wave is given by : - $$\vec{B} =1.6 \times10^{-6} \cos\left(2\times10^{7} z +6 \times10^{15}t\right)\left(2\hat{i} +\hat{j}\right) \frac{Wb}{m^{2}} $$ The associated electric field will be :-
1) $$\vec{E} =4.8 \times10^{2} \cos\left(2\times10^{7}z + 6\times10^{15}t\right)\left(\hat{i} -2\hat{j}\right) \frac{V}{m} $$ 2) $$\vec{E} =4.8 \times10^{2} \cos\left(2\times10^{7}z - 6\times10^{15}t\right)\left(2\hat{i} + \hat{j}\right) \frac{V}{m} $$ 3) $$\vec{E} =4.8 \times10^{2} \cos\left(2\times10^{7}z - 6\times10^{15}t\right)\left( - 2\hat{i} + \hat{j}\right) \frac{V}{m} $$ 4) $$\vec{E} =4.8 \times10^{2} \cos\left(2\times10^{7}z + 6\times10^{15}t\right)\left( -1 \hat{i} + 2\hat{j}\right) \frac{V}{m} $$
Solution:
$$\vec{E} =4.8 \times10^{2} \cos\left(2\times10^{7}z + 6\times10^{15}t\right)\left( -1 \hat{i} + 2\hat{j}\right) \frac{V}{m} $$
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