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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?
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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.
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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?
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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).
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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.
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