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Again: a vertical circular coil with 69 turns of radius 7.91 cm is free to rotate about a frictionless, horizontal axis through the center. Mass 5.84 kg hangs from the bottom of the coil; assume the coil's mass is negligible. The entire region is immersed in a uniform magnetic field of magnitude 0.794 T pointing downward. Now a switch is closed, and current 5.07 A flows in the coil. Now, find p, the angle between the plane of the coil and B when the coil reaches equilibrium. Express the angle in degrees.

Again: a vertical circular coil with 69 turns of radius 7.91 cm is free to rotate about a frictionless, horizontal axis through the center. Mass 5.84 kg hangs from the bottom of the coil; assume the coil's mass is negligible. The entire region is immersed in a uniform magnetic field of magnitude 0.794 T pointing downward. Now a switch is closed, and current 5.07 A flows in the coil. Now, find p, the angle between the plane of the coil and B when the coil reaches equilibrium. Express the angle in degrees.

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### Problem Description: **Context:** - A vertical circular coil with 69 turns and a radius of 7.91 cm is free to rotate around a frictionless, horizontal axis through its center. - A mass of 5.84 kg is suspended from the bottom of the coil, with the assumption that the coil's mass is negligible. - The entire system is in a uniform magnetic field of magnitude 0.794 T, directed downward. **Objective:** - When a switch is closed, a current of 5.07 A flows through the coil. - Determine the angle \( \phi \) between the plane of the coil and the magnetic field \( \mathbf{B} \) when the system achieves equilibrium. - Provide the angle in degrees. **Instructions:** - Refer to Diagram 3 for a visual representation and additional details if needed. (Note: Diagram 3 is not included here, but would show relevant forces and orientations to help solve for the equilibrium angle \(\phi\).)
Transcribed Image Text:### Problem Description: **Context:** - A vertical circular coil with 69 turns and a radius of 7.91 cm is free to rotate around a frictionless, horizontal axis through its center. - A mass of 5.84 kg is suspended from the bottom of the coil, with the assumption that the coil's mass is negligible. - The entire system is in a uniform magnetic field of magnitude 0.794 T, directed downward. **Objective:** - When a switch is closed, a current of 5.07 A flows through the coil. - Determine the angle \( \phi \) between the plane of the coil and the magnetic field \( \mathbf{B} \) when the system achieves equilibrium. - Provide the angle in degrees. **Instructions:** - Refer to Diagram 3 for a visual representation and additional details if needed. (Note: Diagram 3 is not included here, but would show relevant forces and orientations to help solve for the equilibrium angle \(\phi\).)
**Diagram 3: Just as the coil is turned on** - **Side View**: A vertical line representing the side view of a coil. Below the coil, a mass labeled "m" is suspended. - **Front View**: A circle with a horizontal line through its center labeled "axis," depicting the front view of the coil. Below this, the mass labeled "m" is suspended. This diagram illustrates the orientation of the coil and the positioning of the mass from two perspectives: side and front views, which are important for understanding how the coil interacts with the suspended mass when activated.
Transcribed Image Text:**Diagram 3: Just as the coil is turned on** - **Side View**: A vertical line representing the side view of a coil. Below the coil, a mass labeled "m" is suspended. - **Front View**: A circle with a horizontal line through its center labeled "axis," depicting the front view of the coil. Below this, the mass labeled "m" is suspended. This diagram illustrates the orientation of the coil and the positioning of the mass from two perspectives: side and front views, which are important for understanding how the coil interacts with the suspended mass when activated.
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