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guillefix
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I have to desgin an experiment for physics and and my research question is going to be:
How does the cross-sectional area of the solenoid’s coil affect the strength of its magnetic field?
This is my hypothesis, my question is if you think the reasoning is valid.
I believe I should find it is proportional to some power of the area and that it should follow a positive correlation as the magnetic field strength is directly proportional to the velocity (current) and the number of moving charges contributing to the magnetic field, which assuming a conductor with constant width and resistivity, would mean it is proportional to the length. Therefore, if the length of the coil is the same, the length of the wire will be proportional to some power of the cross-sectional area of the coil. As the length of the coil is approximately L=N(2πr), where N is the number of turns and r is the radius of the circumference of each turn, and the area is A=πr^2, we can represent length in terms of area:
L=N(2√π)(√A)
Hence:
L∝A^(1/2)
Therefore, as we said that magnetic field strength, B, is directly proportional to the firs power of L, we can also say that:
B∝A^(1/2)
Thank you,
How does the cross-sectional area of the solenoid’s coil affect the strength of its magnetic field?
This is my hypothesis, my question is if you think the reasoning is valid.
I believe I should find it is proportional to some power of the area and that it should follow a positive correlation as the magnetic field strength is directly proportional to the velocity (current) and the number of moving charges contributing to the magnetic field, which assuming a conductor with constant width and resistivity, would mean it is proportional to the length. Therefore, if the length of the coil is the same, the length of the wire will be proportional to some power of the cross-sectional area of the coil. As the length of the coil is approximately L=N(2πr), where N is the number of turns and r is the radius of the circumference of each turn, and the area is A=πr^2, we can represent length in terms of area:
L=N(2√π)(√A)
Hence:
L∝A^(1/2)
Therefore, as we said that magnetic field strength, B, is directly proportional to the firs power of L, we can also say that:
B∝A^(1/2)
Thank you,
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