- #1
Swapnil Das
- 15
- 6
Verification of my solution to a problem of Magnetism
- Thread starter Swapnil Das
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SUMMARY
The discussion centers on the verification of equations related to magnetism, specifically the equations ##\vec{dF} = I \vec{dI} \vec{B}## and ##dT = I \vec{B} \; \vec{dl}##. Participants highlight the ambiguity in the vector products involved and the misrepresentation of ##dT## as a scalar instead of a vector. The need for a free body diagram to accurately represent the forces acting on the segment ##dl## is emphasized, indicating that the tension in the segment should be equated to the magnetic force acting on it.
PREREQUISITES- Understanding of vector calculus and vector products
- Familiarity with magnetic force equations in physics
- Knowledge of free body diagrams and their applications
- Basic principles of electromagnetism
- Study vector products, specifically the cross product and dot product
- Learn how to construct and interpret free body diagrams in physics
- Explore the principles of magnetic forces and their applications in circuits
- Review the mathematical representation of tension in physical systems
Physics students, educators, and professionals involved in electromagnetism and mechanics, particularly those seeking to clarify the relationship between magnetic forces and tension in conductive segments.
- #2
TSny
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Your equation for ##\vec{dF} = I \vec{dI} \vec{B}## doesn't make sense as written. How do you interpret ##\vec{dI} \vec{B}##? Is this a product of two vectors? If so, what type of product?
Later you write ##dT = I \vec{B} \; \vec{dl}##. Again the right hand side doesn't indicate the type of product of the two vectors. Also, the left hand side ##dT## is written as a scalar rather than a vector. It appears that you are assuming that the tension in a segment ##dl## is equal to the magnetic force on the segment. Is that correct? You need to draw a free body diagram for the segment ##dl##.
Later you write ##dT = I \vec{B} \; \vec{dl}##. Again the right hand side doesn't indicate the type of product of the two vectors. Also, the left hand side ##dT## is written as a scalar rather than a vector. It appears that you are assuming that the tension in a segment ##dl## is equal to the magnetic force on the segment. Is that correct? You need to draw a free body diagram for the segment ##dl##.
Last edited:
- #3
Swapnil Das
- 15
- 6
Thanks a lot, Sir!TSny said:
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