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Determine the torque on the coil.

Determine the torque on the coil.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Description of a Magnetic Coil Experiment** A circular coil with a **diameter of 17.0 cm** and consisting of **nine loops** is positioned flat on the ground. At this location, the Earth's magnetic field has a magnitude of **5.50 × 10<sup>-5</sup> T**. The field is oriented into the Earth at an angle of **59.0°** below a line pointing due north. A **7.20-A** clockwise current flows through the coil.
Transcribed Image Text:**Description of a Magnetic Coil Experiment** A circular coil with a **diameter of 17.0 cm** and consisting of **nine loops** is positioned flat on the ground. At this location, the Earth's magnetic field has a magnitude of **5.50 × 10<sup>-5</sup> T**. The field is oriented into the Earth at an angle of **59.0°** below a line pointing due north. A **7.20-A** clockwise current flows through the coil.
**Determine the torque on the coil.** To calculate the torque on a coil in a magnetic field, the following formula is often used: \[ \tau = nIBA \sin(\theta) \] Where: - \(\tau\) is the torque on the coil. - \(n\) is the number of turns in the coil. - \(I\) is the current flowing through the coil. - \(B\) is the magnetic field strength. - \(A\) is the area of the coil. - \(\theta\) is the angle between the magnetic field and the normal to the plane of the coil. Understanding the formula helps in analyzing how the torque changes with various parameters such as the current, number of turns, and orientation of the coil with respect to the magnetic field. In practical applications, this concept is key in devices like electric motors and generators, where rotational motion is an important aspect of operation.
Transcribed Image Text:**Determine the torque on the coil.** To calculate the torque on a coil in a magnetic field, the following formula is often used: \[ \tau = nIBA \sin(\theta) \] Where: - \(\tau\) is the torque on the coil. - \(n\) is the number of turns in the coil. - \(I\) is the current flowing through the coil. - \(B\) is the magnetic field strength. - \(A\) is the area of the coil. - \(\theta\) is the angle between the magnetic field and the normal to the plane of the coil. Understanding the formula helps in analyzing how the torque changes with various parameters such as the current, number of turns, and orientation of the coil with respect to the magnetic field. In practical applications, this concept is key in devices like electric motors and generators, where rotational motion is an important aspect of operation.
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