The 10-turn loop of wire shown in the figure(Eigure 1) lies in a horizontal plane, parallel to a uniform horizontal magnetic field, and carries a 2.0 A current. The loop is free to rotate about a nonmagnetic axle through the center. A 50 g mass hangs from one edge of the loop. Part A What magnetic field strength will prevent the loop from rotating about the axle? Express your answer to two significant figures and include the appropriate units.

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Chapter1: Units, Trigonometry. And Vectors
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**Description of the Scenario:**

The scenario involves a 10-turn loop of wire described in a figure (referred to as Figure 1). This loop is positioned in a horizontal plane, parallel to a uniform horizontal magnetic field, and it carries an electric current of 2.0 A. The loop is designed to rotate freely around a nonmagnetic axle located at its center. A 50 g mass hangs from one edge of this loop.

**Question (Part A):**

The task is to determine the magnetic field strength that will prevent the loop from rotating about the axle.

**Instructions:**

- Your answer should be rounded to two significant figures.
- Ensure that the appropriate units are included in your response.

**Answer Input Box:**

- The equation \( B = \) is provided, where you need to insert the calculated value and its units.

**Additional Tools:**

- Various input tools are available for formatting your answer.

**Interactions:**

- You can submit your answer or request another answer if needed.

This problem requires understanding the balance between the magnetic forces and gravitational forces acting on the system to determine the required magnetic field strength.
Transcribed Image Text:**Description of the Scenario:** The scenario involves a 10-turn loop of wire described in a figure (referred to as Figure 1). This loop is positioned in a horizontal plane, parallel to a uniform horizontal magnetic field, and it carries an electric current of 2.0 A. The loop is designed to rotate freely around a nonmagnetic axle located at its center. A 50 g mass hangs from one edge of this loop. **Question (Part A):** The task is to determine the magnetic field strength that will prevent the loop from rotating about the axle. **Instructions:** - Your answer should be rounded to two significant figures. - Ensure that the appropriate units are included in your response. **Answer Input Box:** - The equation \( B = \) is provided, where you need to insert the calculated value and its units. **Additional Tools:** - Various input tools are available for formatting your answer. **Interactions:** - You can submit your answer or request another answer if needed. This problem requires understanding the balance between the magnetic forces and gravitational forces acting on the system to determine the required magnetic field strength.
The image illustrates a rectangular coil setup often used in physics to demonstrate magnetic forces and torque on a current-carrying loop in a magnetic field.

**Components of the Diagram:**

1. **Rectangular Coil:**
   - The coil is shown as an orange rectangle.
   - It has dimensions of 10.0 cm by 5.0 cm.
   - The coil has 10 turns, indicating that the wire is wrapped around the rectangle 10 times.

2. **Axle:**
   - The coil is mounted on an axle, represented by black lines across the shorter side of the rectangle.
   - The axle enables the coil to rotate.

3. **Magnetic Field (\(\vec{B}\)):**
   - The magnetic field is denoted by \(\vec{B}\) and indicated with blue arrows pointing towards the right.
   - This field interacts with the current in the coil, resulting in a torque that may cause rotation.

4. **Weight:**
   - A 50 g weight is shown attached to the bottom side of the coil.
   - This weight could be used to balance the coil or to measure its rotational effect when interacting with the magnetic field.

The setup can be used to explore concepts such as the interaction between magnetic fields and electric currents, electromagnetic forces, and rotational motion in a magnetic field.
Transcribed Image Text:The image illustrates a rectangular coil setup often used in physics to demonstrate magnetic forces and torque on a current-carrying loop in a magnetic field. **Components of the Diagram:** 1. **Rectangular Coil:** - The coil is shown as an orange rectangle. - It has dimensions of 10.0 cm by 5.0 cm. - The coil has 10 turns, indicating that the wire is wrapped around the rectangle 10 times. 2. **Axle:** - The coil is mounted on an axle, represented by black lines across the shorter side of the rectangle. - The axle enables the coil to rotate. 3. **Magnetic Field (\(\vec{B}\)):** - The magnetic field is denoted by \(\vec{B}\) and indicated with blue arrows pointing towards the right. - This field interacts with the current in the coil, resulting in a torque that may cause rotation. 4. **Weight:** - A 50 g weight is shown attached to the bottom side of the coil. - This weight could be used to balance the coil or to measure its rotational effect when interacting with the magnetic field. The setup can be used to explore concepts such as the interaction between magnetic fields and electric currents, electromagnetic forces, and rotational motion in a magnetic field.
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