The figure shows a rectangular, 20-turn coll of wire of dimensions 13 cm by 4.9 cm. It carries a current of 0.10 A and is hinged along one long side. It is mounted in the xy plane, at an angle of 30° to the direction of a uniform magnetic field of magnitude 0.48 T. Find the (a) x. (b) y, and (c) z components of the torque acting on the coll about the hingeline (a) Number (b) Number (c) Number Units Units Units

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Chapter1: Units, Trigonometry. And Vectors
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**Rectangular Coil in a Magnetic Field**

The diagram illustrates a rectangular, 20-turn coil of wire with dimensions of 13 cm by 4.9 cm. It carries a current of 0.10 A and is hinged along one of its long sides. The coil is mounted in the xy-plane at an angle of 30° to the direction of a uniform magnetic field with a magnitude of 0.48 T. 

**Objective:**
Determine the (a) \( x \), (b) \( y \), and (c) \( z \) components of the torque acting on the coil with respect to the hinge line.

**Diagram Explanation:**
- The coil is shown in the xy-plane.
- The hinge line runs along the x-axis.
- The magnetic field is represented and makes a 30° angle with the coil.

**Calculation Inputs:**
For each component:
- Enter the numerical value.
- Choose the appropriate unit from a dropdown menu. 

\[ \text{(a) } \quad \text{Number} \quad \boxed{} \quad \text{Units} \quad \boxed{} \]
\[ \text{(b) } \quad \text{Number} \quad \boxed{} \quad \text{Units} \quad \boxed{} \]
\[ \text{(c) } \quad \text{Number} \quad \boxed{} \quad \text{Units} \quad \boxed{} \]

This setup allows you to calculate the torque components based on the given parameters and configuration.
Transcribed Image Text:**Rectangular Coil in a Magnetic Field** The diagram illustrates a rectangular, 20-turn coil of wire with dimensions of 13 cm by 4.9 cm. It carries a current of 0.10 A and is hinged along one of its long sides. The coil is mounted in the xy-plane at an angle of 30° to the direction of a uniform magnetic field with a magnitude of 0.48 T. **Objective:** Determine the (a) \( x \), (b) \( y \), and (c) \( z \) components of the torque acting on the coil with respect to the hinge line. **Diagram Explanation:** - The coil is shown in the xy-plane. - The hinge line runs along the x-axis. - The magnetic field is represented and makes a 30° angle with the coil. **Calculation Inputs:** For each component: - Enter the numerical value. - Choose the appropriate unit from a dropdown menu. \[ \text{(a) } \quad \text{Number} \quad \boxed{} \quad \text{Units} \quad \boxed{} \] \[ \text{(b) } \quad \text{Number} \quad \boxed{} \quad \text{Units} \quad \boxed{} \] \[ \text{(c) } \quad \text{Number} \quad \boxed{} \quad \text{Units} \quad \boxed{} \] This setup allows you to calculate the torque components based on the given parameters and configuration.
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