**Topic: Physics - Magnetic Fields and Torque**---**Problem 5-4:**A rectangular loop with dimensions \( L \times W \) and mass \( M \) is made of wire and is hinged along its top edge, allowing it to swing freely. An electric current \( I \) circulates around the loop as illustrated. When a vertical, upward-pointing magnetic field \( B \) is applied to the loop, it swings upward. At equilibrium, the plane of the loop makes an angle \( \theta \) with the vertical. Your task is to find the angle \( \theta \).**Diagram Description:**The diagram shows a rectangular loop positioned as a diamond shape, with its longer side labeled \( L \) and the shorter side labeled \( W \). The loop is hinged at the top, indicating it can swing around this edge. A current \( I \) flows through the loop. A vertical magnetic field \( B \) points upwards. The loop reaches an equilibrium position, forming an angle \( \theta \) with the vertical.--- Explore the principles of magnetic forces and torque to solve for \( \theta \), considering factors such as the magnetic force acting on the loop and the gravitational force due to the mass of the wire.

Answered: Image /qna-images/answer/a7346363-e88b-40ad-b009-1e94873cdf82.jpg

5-4) A rectangular loop (L × W) of wire (mass M) is hinged along its top edge so as to be able to swing freely. A current I is circulated around the loop as shown. When a vertical, upward pointing magnetic field B is applied to the loop, it swings upward, coming to equilibrium with its plane making an angle 0 with the vertical. Find the angle e.

5-4) A rectangular loop (L × W) of wire (mass M) is hinged along its top edge so as to be able to swing freely. A current I is circulated around the loop as shown. When a vertical, upward pointing magnetic field B is applied to the loop, it swings upward, coming to equilibrium with its plane making an angle 0 with the vertical. Find the angle e.

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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