Question:
Wave propagates whose electric field is given by \(\mathbf{E} = 69 \sin(\omega t - kx)\,\hat{j}\). Find the direction of magnetic field.
Wave propagates whose electric field is given by \(\mathbf{E} = 69 \sin(\omega t - kx)\,\hat{j}\). Find the direction of magnetic field.
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In electromagnetic waves, the electric and magnetic fields are always perpendicular to each other and to the direction of wave propagation.
Updated On: Jan 31, 2026
- \( \hat{k} \)
- \( -\hat{k} \)
- \( \frac{\hat{i} + \hat{j}}{\sqrt{2}} \)
- \( \frac{\hat{i} - \hat{j}}{\sqrt{2}} \)
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The Correct Option is A
Solution and Explanation
Step 1: Use the relation \( \mathbf{E} \times \mathbf{B} = \mathbf{C} \).
For an electromagnetic wave, the electric and magnetic fields are perpendicular to each other and to the direction of propagation. Since \( \mathbf{E} \) is along the \( \hat{j} \) direction, the magnetic field will be along the \( \hat{k} \) direction.
Step 2: Conclusion.
The direction of the magnetic field is along \( \hat{k} \), which corresponds to option (1).
For an electromagnetic wave, the electric and magnetic fields are perpendicular to each other and to the direction of propagation. Since \( \mathbf{E} \) is along the \( \hat{j} \) direction, the magnetic field will be along the \( \hat{k} \) direction.
Step 2: Conclusion.
The direction of the magnetic field is along \( \hat{k} \), which corresponds to option (1).
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