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3. Two long wires carry currents I, = 3.0 A, I, = 4.0 A. Each is at the corner of an equilateral triangle 1.0 m on each side. Point P is at the top of this triangle as shown. Take the positive x direction to be to the right (parallel to the base of the triangle), and positive y to be up. a. Find the net magnetic field at point P include 1.0 magnitude and direction. Unit vector notation is acceptable. b. If an electron is travelling with speed 1500 i km/s at the point P, find the force on the electron due to the magnetic field. Again, magnitude and direction of the force are required and you can leave your answer in unit vector notation.

3. Two long wires carry currents I, = 3.0 A, I, = 4.0 A. Each is at the corner of an equilateral triangle 1.0 m on each side. Point P is at the top of this triangle as shown. Take the positive x direction to be to the right (parallel to the base of the triangle), and positive y to be up. a. Find the net magnetic field at point P include 1.0 magnitude and direction. Unit vector notation is acceptable. b. If an electron is travelling with speed 1500 i km/s at the point P, find the force on the electron due to the magnetic field. Again, magnitude and direction of the force are required and you can leave your answer in unit vector notation.

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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The problem involves two long wires carrying currents \( I_1 = 3.0 \, \text{A} \) and \( I_2 = 4.0 \, \text{A} \). These wires are positioned at two corners of an equilateral triangle with each side measuring 1.0 m. The point \( P \) is located at the top corner of the triangle. The positive x-axis is considered parallel to the base of the triangle, pointing to the right, and the positive y-axis is directed upwards. ### Diagram Description: The diagram displays an equilateral triangle with equal sides of 1.0 meters. The vertices at the bottom corners are occupied by the currents \( I_1 \) and \( I_2 \), while the top vertex is labeled as point \( P \). ### Tasks: a. Calculate the net magnetic field at point \( P \), providing both magnitude and direction. Answers should be given using unit vector notation. b. An electron traveling at a velocity \( \vec{v} = 1500 \, \hat{i} \, \text{km/s} \) is present at point \( P \). Determine the force experienced by the electron due to the magnetic field, again providing the solution in terms of magnitude and direction using unit vector notation.
Transcribed Image Text:The problem involves two long wires carrying currents \( I_1 = 3.0 \, \text{A} \) and \( I_2 = 4.0 \, \text{A} \). These wires are positioned at two corners of an equilateral triangle with each side measuring 1.0 m. The point \( P \) is located at the top corner of the triangle. The positive x-axis is considered parallel to the base of the triangle, pointing to the right, and the positive y-axis is directed upwards. ### Diagram Description: The diagram displays an equilateral triangle with equal sides of 1.0 meters. The vertices at the bottom corners are occupied by the currents \( I_1 \) and \( I_2 \), while the top vertex is labeled as point \( P \). ### Tasks: a. Calculate the net magnetic field at point \( P \), providing both magnitude and direction. Answers should be given using unit vector notation. b. An electron traveling at a velocity \( \vec{v} = 1500 \, \hat{i} \, \text{km/s} \) is present at point \( P \). Determine the force experienced by the electron due to the magnetic field, again providing the solution in terms of magnitude and direction using unit vector notation.
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