The electric field component of a uniform plane wave propagating in a lossless magnetic dielectric medium is given by overrightarrow E ( t,z ) = hat a_x5cos ( 10^9t - 203z )V/m. If η0 represents the intrinsic impedance of the free space, the corresponding magnetic field component is given by

overrightarrow H ( t,z ) = hat a_y10 _0cos ( 10^9t - 203z )A/m

Electromagnetic Field Theory

The electric field component of a uniform plane wave propagating in a lossless magnetic dielectric medium is given by $$\overrightarrow E \left( {t,\,z} \right) = {{\hat a}_x}5\cos \left( {{{10}^9}t - \frac{{20}}{3}z} \right){\text{V/m}}{\text{.}}$$ If η₀ represents the intrinsic impedance of the free space, the corresponding magnetic field component is given by

A) $$\overrightarrow H \left( {t,\,z} \right) = {{\hat a}_y}\frac{5}{{2{\eta _0}}}\cos \left( {{{10}^9}t - \frac{{20}}{3}z} \right){\text{A/m}}$$ B) $$\overrightarrow H \left( {t,\,z} \right) = {{\hat a}_y}\frac{{10}}{{{\eta _0}}}\cos \left( {{{10}^9}t - \frac{{20}}{3}z} \right){\text{A/m}}$$ C) $$\overrightarrow H \left( {t,\,z} \right) = {{\hat a}_z}\frac{{10}}{{2{\eta _0}}}\cos \left( {{{10}^9}t - \frac{{20}}{3}z} \right){\text{A/m}}$$ D) $$\overrightarrow H \left( {t,\,z} \right) = {{\hat a}_z}\frac{{10}}{{{\eta _0}}}\cos \left( {{{10}^9}t - \frac{{20}}{3}z} \right){\text{A/m}}$$

Answer & Solution

Correct Answer: Option B

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