At a time $\backslash ($ t$\_\{0\}\backslash )$ an electric field is detected in the region shown on the left diagram. The electric field is zero at all other locations. At a later time $\backslash ($ t$\_\{1\}\backslash )$ an electric field is detected in the region shown on the right diagram; the electric field is zero elsewhere.

Part $1$

$($a$)$ What is the direction of propagation of the electromagnetic wave?

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Part $2$

$($b$)$ If you were to measure the magnetic field in the region where the electric field is nonzero, what would be the direction of the magnetic field?