For a certain electromagnetic wave in free space, at one instant the electric field vector points in the +z direction while the magnetic field vector points in the +x direction, as shown in the figure. In what direction is this wave traveling? y E

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**Electromagnetic Wave Direction in Free Space**

**Problem Statement:**

For a certain electromagnetic wave in free space, at one instant the electric field vector points in the +z direction while the magnetic field vector points in the +x direction, as shown in the figure. In what direction is this wave traveling?

**Diagram Explanation:**

The diagram consists of a three-dimensional coordinate system. The axes are labeled as x, y, and z. There are two vectors shown:

- The electric field vector \( \mathbf{E} \) is directed along the +z axis.
- The magnetic field vector \( \mathbf{B} \) is directed along the +x axis.

Given these vectors, you need to determine the direction of wave propagation.

**Answer Options:**

- \( \mathbf{+y} \)
- \( \mathbf{+z} \)
- \( \mathbf{+x} \)
- \( \mathbf{-x} \)
- \( \mathbf{-y} \)

**Analysis:**

Using the right-hand rule, where the thumb points in the direction of the electric field (\( \mathbf{E} \)), the fingers point in the direction of the magnetic field (\( \mathbf{B} \)), the palm will naturally point in the direction of wave propagation. Hence, the wave travels in the +y direction.
Transcribed Image Text:**Electromagnetic Wave Direction in Free Space** **Problem Statement:** For a certain electromagnetic wave in free space, at one instant the electric field vector points in the +z direction while the magnetic field vector points in the +x direction, as shown in the figure. In what direction is this wave traveling? **Diagram Explanation:** The diagram consists of a three-dimensional coordinate system. The axes are labeled as x, y, and z. There are two vectors shown: - The electric field vector \( \mathbf{E} \) is directed along the +z axis. - The magnetic field vector \( \mathbf{B} \) is directed along the +x axis. Given these vectors, you need to determine the direction of wave propagation. **Answer Options:** - \( \mathbf{+y} \) - \( \mathbf{+z} \) - \( \mathbf{+x} \) - \( \mathbf{-x} \) - \( \mathbf{-y} \) **Analysis:** Using the right-hand rule, where the thumb points in the direction of the electric field (\( \mathbf{E} \)), the fingers point in the direction of the magnetic field (\( \mathbf{B} \)), the palm will naturally point in the direction of wave propagation. Hence, the wave travels in the +y direction.
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