For plan electromagnetic waves propagating in the \(z-\) direction, which one of the following combination gives the correct possible direction for \(\vec E\) and \(\vec B\) field respectively?

Pick an option to check your answer.

Verified Solution

Answer & Solution

Correct Answer

(B) \(\left( {-2\hat i - 3\hat j} \right)\) and \(\left( {3\hat i - 2\hat j} \right)\)

Step-by-step Solution

Detailed explanation

As we know, \(\vec E \cdot \vec B = 0\) \(\because [\vec E \bot \vec B]\) and \(\vec{E} \times \vec{B}\) should be along \(Z\) direction

As \((-2 \hat{i}-3 \hat{j}) \times(3 \hat{i}-2 \hat{j})=13 \hat{k}\)

Hence option \((b)\) is the correct answer.

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