(20) A current loop, 12₁ current carrying wire with current I₁ (see the figure below). It is known that I₁ = 5.5 A, 1₂=2.5 A, a = 13.0 cm, b= 15.0 cm, and d = 2.0 cm. (a 5) Find the force on I, due to side AB of the loop. Both magnitude and directions are required. (b5) Find the force on I due to side CD of the loop. Both magnitude and directions are required. (c 5) Find the total force on current I, due to I₂. What is the direction? 4 a 12 C

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)...
icon
Related questions
Question
**Problem 20:**

A current loop, ABCD, carries current \( I_2 \), and is placed on the same plane as another current carrying wire with current \( I_1 \) (see the figure below). It is known that \( I_1 = 5.5 \, \text{A} \), \( I_2 = 2.5 \, \text{A} \), \( a = 13.0 \, \text{cm} \), \( b = 15.0 \, \text{cm} \), and \( d = 2.0 \, \text{cm} \).

(a) Find the force on \( I_1 \) due to side AB of the loop. Both magnitude and directions are required.
(b) Find the force on \( I_1 \) due to side CD of the loop. Both magnitude and directions are required.
(c) Find the total force on current \( I_1 \) due to \( I_2 \). What is the direction?

**Diagram Explanation:**

The diagram consists of a rectangular loop labeled ABCD. The side AB is parallel to side CD, and side AD is parallel to side BC. The rectangle is placed in such a way that the sides have the following dimensions: 
- \( a = 13.0 \, \text{cm} \) (the length of AB and CD),
- \( b = 15.0 \, \text{cm} \) (the separation between sides AD and BC), 
- \( d = 2.0 \, \text{cm} \) (distance from the wire carrying current \( I_1 \) to the nearest side of the loop).

Arrows indicate the direction of the currents: 
- \( I_1 \) flows vertically along the line to the left of the loop.
- \( I_2 \) flows around the loop ABCD in a clockwise direction.

To solve the problem, consider the forces on sections AB and CD and then determine the overall effect of \( I_2 \) on \( I_1 \).
Transcribed Image Text:**Problem 20:** A current loop, ABCD, carries current \( I_2 \), and is placed on the same plane as another current carrying wire with current \( I_1 \) (see the figure below). It is known that \( I_1 = 5.5 \, \text{A} \), \( I_2 = 2.5 \, \text{A} \), \( a = 13.0 \, \text{cm} \), \( b = 15.0 \, \text{cm} \), and \( d = 2.0 \, \text{cm} \). (a) Find the force on \( I_1 \) due to side AB of the loop. Both magnitude and directions are required. (b) Find the force on \( I_1 \) due to side CD of the loop. Both magnitude and directions are required. (c) Find the total force on current \( I_1 \) due to \( I_2 \). What is the direction? **Diagram Explanation:** The diagram consists of a rectangular loop labeled ABCD. The side AB is parallel to side CD, and side AD is parallel to side BC. The rectangle is placed in such a way that the sides have the following dimensions: - \( a = 13.0 \, \text{cm} \) (the length of AB and CD), - \( b = 15.0 \, \text{cm} \) (the separation between sides AD and BC), - \( d = 2.0 \, \text{cm} \) (distance from the wire carrying current \( I_1 \) to the nearest side of the loop). Arrows indicate the direction of the currents: - \( I_1 \) flows vertically along the line to the left of the loop. - \( I_2 \) flows around the loop ABCD in a clockwise direction. To solve the problem, consider the forces on sections AB and CD and then determine the overall effect of \( I_2 \) on \( I_1 \).
Expert Solution
steps

Step by step

Solved in 2 steps

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.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON