A 23-loop circular coil 18-cm in diameter lies in the xy-plane. The current in each loop of the coil is 54.7 A and an external magnetic field B = (3î+ 7k) T passes through the coil. Determine the magnitude of the initial torque on the coil.

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**Educational Content: Calculating Torque on a Circular Coil**

A 23-loop circular coil with a diameter of 18 cm is lying in the xy-plane. Each loop of the coil carries a current of 54.7 A. An external magnetic field \( \mathbf{B} = (3\mathbf{i} + 7\mathbf{k}) \, \text{T} \) is applied through the coil. The task is to determine the magnitude of the initial torque acting on the coil.

**Graphical Elements:**
There are no graphs or diagrams included in the image. 

This scenario requires applying principles from electromagnetism to find the torque on the coil. Understanding both the magnetic field and the coil's structure is crucial for solving such problems in physics.
Transcribed Image Text:**Educational Content: Calculating Torque on a Circular Coil** A 23-loop circular coil with a diameter of 18 cm is lying in the xy-plane. Each loop of the coil carries a current of 54.7 A. An external magnetic field \( \mathbf{B} = (3\mathbf{i} + 7\mathbf{k}) \, \text{T} \) is applied through the coil. The task is to determine the magnitude of the initial torque acting on the coil. **Graphical Elements:** There are no graphs or diagrams included in the image. This scenario requires applying principles from electromagnetism to find the torque on the coil. Understanding both the magnetic field and the coil's structure is crucial for solving such problems in physics.
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