A current i runs counterclockwise along the perimeter of an equilateral triangle whose sides are length a. The the triangle lies flat on the horizontal page. A uniform magnetic field, B, points out of the page. (a) Draw a diagram showing the current, the field, and the force on each side of the triangle. (b) Find the magnitude of the force on each side and the net force on the entire triangular loop. Do NOT just state that the net force is zero (it is!) SHOW that it is zero by adding the forces on the sides as vectors. (c) Find an expression for the dipole moment of the loop of current and its direction. (d) Determine if there is a net torque on the loop (do the forces on it cause it to rotate.) Explain BOTH using the forces and using the torque on a dipole equation.
A current i runs counterclockwise along the perimeter of an equilateral triangle whose sides are length a. The the triangle lies flat on the horizontal page. A uniform magnetic field, B, points out of the page. (a) Draw a diagram showing the current, the field, and the force on each side of the triangle. (b) Find the magnitude of the force on each side and the net force on the entire triangular loop. Do NOT just state that the net force is zero (it is!) SHOW that it is zero by adding the forces on the sides as vectors. (c) Find an expression for the dipole moment of the loop of current and its direction. (d) Determine if there is a net torque on the loop (do the forces on it cause it to rotate.) Explain BOTH using the forces and using the torque on a dipole equation.
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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Problem 4
A current i runs counterclockwise along the perimeter of an equilateral triangle whose sides are
length a. The the triangle lies flat on the horizontal page. A uniform magnetic field, B, points out
of the page.
(a) Draw a diagram showing the current, the field, and the force on each side of the triangle.
(b) Find the magnitude of the force on each side and the net force on the entire triangular loop. Do
NOT just state that the net force is zero (it is!) SHOW that it is zero by adding the forces on
the sides as vectors.
(c) Find an expression for the dipole moment of the loop of current and its direction.
(d) Determine if there is a net torque on the loop (do the forces on it cause it to rotate.) Explain
BOTH using the forces and using the torque on a dipole equation.
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