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amph1bius
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How would i start to derive the magnetic field intensity and initial velocity for a free electron to circle around a radius of 100 nm?
To calculate the magnetic field of a free electron at a distance of 100 nm, you can use the following formula:
B = (μ0 * I) / (2 * π * r)
Where B is the magnetic field in Tesla, μ0 is the permeability of free space (4π x 10^-7), I is the current in Amperes, and r is the distance in meters.
The velocity of a free electron at a distance of 100 nm can be calculated using the following formula:
v = √(2 * e * V / m)
Where v is the velocity in meters per second, e is the charge of an electron (1.602 x 10^-19 C), V is the potential difference in volts, and m is the mass of an electron (9.109 x 10^-31 kg).
Yes, the magnetic field and velocity of a free electron at 100 nm can be measured experimentally using various techniques such as magnetic field sensors and particle accelerators.
The magnetic field of a free electron decreases with distance following the inverse square law, while the velocity remains constant as long as there is no external force acting on the electron.
However, at very small distances (less than 10^-15 m), the laws of quantum mechanics come into play and the behavior of electrons cannot be accurately predicted using classical physics.
The magnetic field and velocity of a free electron at 100 nm can be affected by factors such as the strength of the current, the potential difference, the distance from the electron source, and the presence of any external magnetic or electric fields.
In addition, the properties of the material through which the electron is traveling, such as its magnetic permeability and electric conductivity, can also have an impact on the behavior of the electron.