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WBJEE · Physics · Electromagnetic Waves

The electric field of a plane electromagnetic wave of wave number \(k\) and angular frequency \(\omega\) is given by \(\vec{E}=E_0(\hat{i}+\hat{j}) \sin (k z-\omega t)\). Which of the following gives the direction of the associated magnetic field \(\vec{B}\) ?

  1. A \(\hat{k}\)
  2. B \(-\hat{i}+\hat{j}\)
  3. C \(-\hat{i}-\hat{j}\)
  4. D \(\hat{\mathrm{i}}-\hat{\mathrm{k}}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(-\hat{i}+\hat{j}\)

Step-by-step Solution

Detailed explanation

Hint: \(\vec{E} \cdot \vec{B}=0\) and in the plane of \(X Y\)
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