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For plane electromagnetic waves propagating in the + z -direction, which one of the following combinations gives the correct possible direction for E → and B → field respectively?

Options

  1. Ai ^ + 2 j ^ and 2 i ^ - j
  2. B- 2 i ^ - 3 j ^ and 3 i ^ - 2 j ^
  3. C2 i ^ + 3 j ^ and i ^ + 2 j ^
  4. D3 i ^ + 4 j ^ and 4 i ^ - 3 j ^

Correct answer

B. - 2 i ^ - 3 j ^ and 3 i ^ - 2 j ^

Step-by-step solution

The direction of propagation of the electromagnetic waves is along E → × B → . Also E → · B → = 0 When E → is along - 2   i ^ - 3   j ^ And B → is along 3   i ^ - 2   j ^ Then E → × B → = - 2 i ^ - 3 j ^ × 3 i ^ - 2 j ^ = 4   k ^ + 9   k ^ = 13   k ^ is along +ve direction also E → · B → = 0

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