Four straight, current-carrying wires are perpendicular to the sheet of paper you’re currently staring at which we take to be in the xy-plane. Current 1 has magnitude 5 A, points out of the paper, and passes through point (−2 cm,0 cm). Current 2 has magnitude 7 A, points into the paper, and passes through the point (2 cm,0 cm). Current 3 has magnitude 17 A, points into the paper, and passes through the point (−2 cm,2 √ 3 cm). Current 4 has magnitude 17 A, points into the paper, and passes through the point (2 cm,2 √ 3 cm). Compute the values of Bx , By , and |B|, the x- and y-components of the magnetic field at the point (0 cm,2 √ 3 cm).

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter30: Sources Of The Magnetic Field
Section: Chapter Questions
Problem 30.9P: Two long, straight, parallel wires carry currents that are directed perpendicular to the page as...
icon
Related questions
Question

Four straight, current-carrying wires are perpendicular to the sheet of paper you’re currently staring at which we take to be in the xy-plane. Current 1 has magnitude 5 A, points out of the paper, and passes through point (−2 cm,0 cm). Current 2 has magnitude 7 A, points into the paper, and passes through the point (2 cm,0 cm). Current 3 has magnitude 17 A, points into the paper, and passes through the point (−2 cm,2 √ 3 cm). Current 4 has magnitude 17 A, points into the paper, and passes through the point (2 cm,2 √ 3 cm). Compute the values of Bx , By , and |B|, the x- and y-components of the magnetic field at the point (0 cm,2 √ 3 cm).

Expert Solution
Step 1

Scenario: When current passes through a conducting wire, magnetic field is created around it. Magnetic filed intensity varies based on value of current, the conductor carries. Direction of magnetic field also changes depending on direction of current

The given data are,

I1=5 AI2=7 AI3=17 AI4=17 A

Step 2

The drections and components of the magnetic field at P are shown in the figure.

Physics homework question answer, step 2, image 1

Step 3

From the figure,

From the triangle OPI1

sinθ=OPI1P=23I1PI1P=4+12=16=4

so,

sinθ=234=32θ=sin-1(32)=600

steps

Step by step

Solved in 6 steps with 1 images

Blurred answer
Knowledge Booster
Magnetic field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 2
University Physics Volume 2
Physics
ISBN:
9781938168161
Author:
OpenStax
Publisher:
OpenStax
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning