The electric field of an electromagnetic wave in free space is \(\overrightarrow{\mathrm{E}}\) = 57 cos[7.5 × 106 t – 5 × 10–3 (3x + 4y)] \((4 \hat{\mathrm{i}}-3 \hat{\mathrm{j}})\) N/C.
The associated magnetic field in Tesla is-
1
\(\overrightarrow{\mathrm{B}}=\frac{57}{3 \times 10^{8}} \cos \left[7.5 \times 10^{6} \mathrm{t}-5 \times 10^{-3}(3 \mathrm{x}+4 \mathrm{y})\right](5 \hat{\mathrm{k}})\)
2
\(\overrightarrow{\mathrm{B}}=\frac{57}{3 \times 10^{8}} \cos \left[7.5 \times 10^{6} \mathrm{t}-5 \times 10^{-3}(3 \mathrm{x}+4 \mathrm{y})\right](\hat{\mathrm{k}})\)
3
\(\overrightarrow{\mathrm{B}}=-\frac{57}{3 \times 10^{8}} \cos \left[7.5 \times 10^{6} \mathrm{t}-5 \times 10^{-3}(3 \mathrm{x}+4 \mathrm{y})\right](5 \hat{\mathrm{k}})\)
4
\(\overrightarrow{\mathrm{B}}=-\frac{57}{3 \times 10^{8}} \cos \left[7.5 \times 10^{6} \mathrm{t}-5 \times 10^{-3}(3 \mathrm{x}+4 \mathrm{y})\right](\hat{\mathrm{k}})\)