Calculate the maximum magnetic field strength

It is necessary to calculate the maximum magnetic field strength created by an alpha particle at a point that is located at a distance of 10^-8 cm from the straight trajectory of the particle. The speed of an alpha particle is 5*10^6 cm/s.

Solution tasks 31177:

From the conditions of the problem it follows that the trajectory of the alpha particle is rectilinear, therefore, its movement occurs in a straight line perpendicular to a point located at a distance of 10^-8 cm from the trajectory.

The maximum magnetic field strength can be calculated using the formula:

B = (μ0 * q * v) / (2 * π * r)

where B is the maximum magnetic field strength, μ0 is the magnetic constant, q is the charge of the alpha particle, v is the speed of the alpha particle, r is the distance from the alpha particle to the point where the maximum magnetic field strength is calculated.

Substituting the known values ​​into this formula, we get:

B = (4π * 10^-7 * 2 * (1.6 * 10^-19) * 5 * 10^6) / (2 * π * 10^-8) ≈ 4.02 * 10^-3 Тл

Thus, the maximum magnetic field strength created by an alpha particle at the indicated point is approximately 4.02 * 10^-3 T.

If you have any questions about solving a problem, do not hesitate to ask them. I will try to help.

Calculate the maximum magnetic field strength

This digital product is a detailed solution to problem 31177 in physics. It contains a brief record of the conditions, formulas and laws used in the solution, the derivation of the calculation formula and the exact answer.

The task is to calculate the maximum magnetic field strength created by an alpha particle at a point located at a distance of 10^-8 cm from the straight trajectory of the particle. The speed of the alpha particle is 5*10^6 cm/s.

By purchasing this digital product, you receive a complete and understandable solution to the problem, which will help you better understand physical laws and apply them in practice.

This product is a solution to problem 31177 in physics, which consists of calculating the maximum magnetic field strength created by an alpha particle at a point located at a distance of 10^-8 cm from the straight trajectory of the particle. To solve the problem, use the formula B = (μ0 * q * v) / (2 * π * r), where B is the maximum magnetic field strength, μ0 is the magnetic constant, q is the charge of the alpha particle, v is the speed of the alpha particle, r is the distance from the alpha particle to the point where The maximum magnetic field strength is calculated.

By purchasing this product, you receive a complete and understandable solution to the problem, which contains a brief record of the conditions, formulas and laws used in the solution, the derivation of the calculation formula and the exact answer. This will help you better understand physical laws and apply them in practice. If you have any questions about the solution, do not hesitate to ask them, I will try to help.


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To calculate the maximum magnetic field strength created by an alpha particle, the Biot-Savart-Laplace law can be used.

From the condition it is known that the alpha particle moves at a speed of 5*10^6 cm/s, and the distance to the point where the maximum magnetic field strength needs to be calculated is 10^-8 cm.

To solve the problem, it is necessary to calculate the magnetic field at a point caused by the current created by the movement of the alpha particle. To do this, you need to use the formula for the magnetic field created by the current element:

dH = (μ/4π) * Idl * sin(θ) / r^2,

where μ is the magnetic constant, I is the current strength, dl is the current element, θ is the angle between the vector dl and the vector r, r is the distance from the current element to the point at which the magnetic field needs to be calculated.

To solve the problem, you need to break the alpha particle's trajectory into small current elements, calculate the magnetic field created by each element, and add the results for all elements.

Thus, it is possible to calculate the maximum magnetic field strength created by an alpha particle at a point located at a distance of 10^-8 cm from the straight trajectory of the particle.


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