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Find the equation of the magnetic field for the given equation of the electric field (for an EM wave): \(\vec{\mathrm{E}…

Q1

Find the equation of the magnetic field for the given equation of the electric field (for an EM wave): \(\vec{\mathrm{E}}={\mathrm{E}}_{0}(4\overset{^}{\mathrm{i}}−3\overset{^}{\mathrm{j}})\cos ⁡(\mathrm{ωt}−\mathrm{kz})\mathrm{.}\)

(Shift I Memory Based)

a

\(\vec{\mathrm{B}}=\frac{{\mathrm{E}}_{0}}{\mathrm{c}}(3\overset{^}{\mathrm{i}}+4\overset{^}{\mathrm{j}})\cos (\mathrm{ωt}−\mathrm{kz})\)

b

\(\vec{\mathrm{B}}=\frac{{\mathrm{E}}_{0}}{\mathrm{c}}(−3\overset{^}{\mathrm{i}}−4\overset{^}{\mathrm{j}})\cos (\mathrm{ωt}−\mathrm{kz})\)

c

\(\vec{\mathrm{B}}=\frac{{\mathrm{E}}_{0}}{\mathrm{c}}(3\overset{^}{\mathrm{i}}−4\overset{^}{\mathrm{j}})\sin (\mathrm{ωt}−\mathrm{kz})\)

d

\(\vec{\mathrm{B}}=\frac{{\mathrm{E}}_{0}}{\mathrm{c}}(−3\overset{^}{\mathrm{i}}−4\overset{^}{\mathrm{j}})\sin (\mathrm{ωt}−\mathrm{kz})\)

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