the cube is 38.0 cm on each edge. Four straight segments of wire -- ab, bc, cd, and da -- form a closed loop that carries a current of I = 4.50 A in the direction shown. A uniform magnetic field of magnitude B = 0.0200 T is in the positive y-direction. Determine the magnitude and direction of the magnetic force on each segment

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the cube is 38.0 cm on each edge. Four straight segments of wire -- ab, bc, cd, and da -- form a closed loop that carries a current of I = 4.50 A in the direction shown. A uniform magnetic field of magnitude B = 0.0200 T is in the positive y-direction. Determine the magnitude and direction of the magnetic force on each segment. (

The image illustrates a three-dimensional diagram of a cube positioned along the x, y, and z axes. Here’s a detailed explanation:

1. **Axes:**
   - The x-axis runs horizontally to the right.
   - The y-axis is vertical, pointing upwards.
   - The z-axis extends diagonally backward.

2. **Cube:**
   - A cube is depicted with vertices labeled as a, b, c, and d. Vertex 'a' is at the top front corner, 'b' at the bottom front corner, 'c' at the bottom back corner, and 'd' at the top back corner.

3. **Current Flow (I):**
   - A purple line indicates the direction of current flow in the wire forming the cube. The current starts at point 'a', moves to 'b', then to 'c', and finally to 'd', completing the path at 'a'.

4. **Magnetic Field (B):**
   - An upward-pointing blue arrow labeled \(\vec{B}\) extends parallel to the y-axis, representing the direction of the magnetic field.

This diagram is likely used to illustrate the interaction of a current-carrying wire with a magnetic field, possibly discussing concepts like the Lorentz force or induced electromotive force.
Transcribed Image Text:The image illustrates a three-dimensional diagram of a cube positioned along the x, y, and z axes. Here’s a detailed explanation: 1. **Axes:** - The x-axis runs horizontally to the right. - The y-axis is vertical, pointing upwards. - The z-axis extends diagonally backward. 2. **Cube:** - A cube is depicted with vertices labeled as a, b, c, and d. Vertex 'a' is at the top front corner, 'b' at the bottom front corner, 'c' at the bottom back corner, and 'd' at the top back corner. 3. **Current Flow (I):** - A purple line indicates the direction of current flow in the wire forming the cube. The current starts at point 'a', moves to 'b', then to 'c', and finally to 'd', completing the path at 'a'. 4. **Magnetic Field (B):** - An upward-pointing blue arrow labeled \(\vec{B}\) extends parallel to the y-axis, representing the direction of the magnetic field. This diagram is likely used to illustrate the interaction of a current-carrying wire with a magnetic field, possibly discussing concepts like the Lorentz force or induced electromotive force.
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