Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > A current filament carrying 8 A in the 𝑎𝑧 d...
Start Learning for Free
A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop?
Most Upvoted Answer
A current filament carrying 8 A in the 𝑎𝑧 direction lies along the e...
Current Filament and Magnetic Field
The current filament carries a current of 8 A in the az direction, generating a magnetic field around it. The magnetic field (B) due to a long straight current-carrying wire can be determined using the right-hand rule and Ampère's law.
Magnetic Field Calculation
- The magnetic field at point (0, y, z) in the x=0 plane, at a distance r from the z-axis, is given by:
- B = (μ₀ * I) / (2πr) in the az direction.
- For points in the loop, the distances will vary.
Force on Each Side of the Loop
- Side AB (0, 0.2, 0) to (0, 0.2, 0.3):
- Direction: Along the z-axis.
- Current (I): 0.3 A (in az).
- Force (F): F = I * L x B = 0.3 A * Δz * B.
- Resulting force: Acts in the -y direction.
- Side BC (0, 0.2, 0.3) to (0, 0.7, 0.3):
- Direction: Along the y-axis.
- Current (I): 0.5 A (in ay).
- Force (F): F = I * L x B = 0.5 A * Δy * B.
- Resulting force: Acts in the -z direction.
- Side CD (0, 0.7, 0.3) to (0, 0.7, 0):
- Direction: Along the z-axis.
- Current (I): -0.3 A (in -az).
- Force (F): Acts in the +y direction.
- Side DA (0, 0.7, 0) to (0, 0.2, 0):
- Direction: Along the y-axis.
- Current (I): -0.5 A (in -ay).
- Force (F): Acts in the +z direction.
Conclusion
The forces on each side of the loop result from the interaction of the current in the loop and the magnetic field created by the current filament. The net forces on the sides can be calculated by considering the directions and magnitudes of the forces, leading to a comprehensive understanding of the magnetic effects on the loop.
The current filament carries a current of 8 A in the az direction, generating a magnetic field around it. The magnetic field (B) due to a long straight current-carrying wire can be determined using the right-hand rule and Ampère's law.
Magnetic Field Calculation
- The magnetic field at point (0, y, z) in the x=0 plane, at a distance r from the z-axis, is given by:
- B = (μ₀ * I) / (2πr) in the az direction.
- For points in the loop, the distances will vary.
Force on Each Side of the Loop
- Side AB (0, 0.2, 0) to (0, 0.2, 0.3):
- Direction: Along the z-axis.
- Current (I): 0.3 A (in az).
- Force (F): F = I * L x B = 0.3 A * Δz * B.
- Resulting force: Acts in the -y direction.
- Side BC (0, 0.2, 0.3) to (0, 0.7, 0.3):
- Direction: Along the y-axis.
- Current (I): 0.5 A (in ay).
- Force (F): F = I * L x B = 0.5 A * Δy * B.
- Resulting force: Acts in the -z direction.
- Side CD (0, 0.7, 0.3) to (0, 0.7, 0):
- Direction: Along the z-axis.
- Current (I): -0.3 A (in -az).
- Force (F): Acts in the +y direction.
- Side DA (0, 0.7, 0) to (0, 0.2, 0):
- Direction: Along the y-axis.
- Current (I): -0.5 A (in -ay).
- Force (F): Acts in the +z direction.
Conclusion
The forces on each side of the loop result from the interaction of the current in the loop and the magnetic field created by the current filament. The net forces on the sides can be calculated by considering the directions and magnitudes of the forces, leading to a comprehensive understanding of the magnetic effects on the loop.
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Similar Electronics and Communication Engineering (ECE) Doubts
Top Courses for Electronics and Communication Engineering (ECE)View all
A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop?
Question Description
A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop?.
A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop?.
Solutions for A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop? defined & explained in the simplest way possible. Besides giving the explanation of
A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop?, a detailed solution for A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop? has been provided alongside types of A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop? theory, EduRev gives you an
ample number of questions to practice A current filament carrying 8 A in the 𝑎𝑧 direction lies along the entire z-axis in free space. A rectangular loop connecting 𝐴(0,0.2,0) 𝑡𝑜 𝐵(0,0.2,0.3) 𝑡𝑜 𝐶(0,0.7,0.3) 𝑡𝑜 𝐷(0,0.7,0) to A lies in the 𝑥=0 plane as shown in Fig Q3C. Determine the forces acting on all sides of the loop? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
|
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
x
![]()
For Your Perfect Score in Electronics and Communication Engineering (ECE)
The Best you need at One Place
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup