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The electric field component of a uniform plane electromagnetic wave propagating in the $Y$-direction in a lossless medium will satisfy the equation.

  1. $\frac{\partial^2 E_y}{\partial y^2}=\mu \in \frac{\partial^2 E_y}{\partial t^2}$
  2. $\frac{\partial^2 E_y}{\partial x^2}=\mu \in \frac{\partial^2 E_y}{\partial t^2}$
  3. $\frac{\partial^2 E_x}{\partial y^2}=\mu \in \frac{\partial^2 E_x}{\partial t^2}$
  4. $\frac{\sqrt{E_x^2+E_z^2}}{\sqrt{H_x^2+H_z^2}}=\sqrt{\frac{\mu}{\epsilon}}$
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