kneeslider said:The charge carriers in a current carrying wire subjected to a magnetic field will move to a side due to the Hall effect. But doesn't that also decrease the effective cross section area through which the charge carriers are moving? Does the resistance increase? If so, how significant is it in electric machines like motors?
kneeslider said:No, not for school work. It's a burning curiosity. School is closed for the summer, so it's not easy to ask the professors. That's why I am here. I can't seem to wrap up the theories to actually carry out the calculations (I am a physics major and have done just one ENM course). I have a coil with high enough resistance to run the test from a home power supply and multimeters, but don't have a magnet to run the test. I will appreciate any sort of answer and an explanation- with or without the math.
If the effect was significant, people could have made more efficient motors with coils of rectangular cross section. I have never seen such a motor, so I presume the effect is not significant. But, I am still don't feel satiated without a proper explanation.
The Hall effect is a phenomenon in which a magnetic field applied perpendicular to an electric current causes a voltage difference, known as the Hall voltage, across the conductor. This Hall voltage can affect the resistance of the conductor by changing the flow of electrons, resulting in an overall increase or decrease in resistance.
The Hall effect and resistance have an inverse relationship. This means that as the Hall voltage increases, the resistance of the conductor decreases, and vice versa.
Yes, the Hall effect can be used to measure resistance. By applying a known magnetic field and measuring the resulting Hall voltage, the resistance of a conductor can be calculated using the formula R = V/I, where R is resistance, V is Hall voltage, and I is current.
The material of the conductor can significantly impact the Hall effect on resistance. Materials with a high electron mobility, such as metals, will experience a larger Hall voltage and therefore a more significant effect on resistance compared to materials with lower electron mobility.
Yes, the Hall effect can be used to control resistance. By varying the strength of the magnetic field applied to the conductor, the Hall voltage and therefore the resistance can be manipulated. This is useful in applications such as sensors and electronic devices.