Magnetic force produced by two circles of the same radius

Greetings to all lovers of science and physics, the unique thing is the dynamic to share science in the field of physics, as is the case today Let us consider two coils of radius "r" placed next to each other and keeping the same "I". We want to calculate the magnetic field at point P in the center of these circles.

To calculate the magnetic force at P, the contributions from each magnetic field must be considered and added.

1. Calculate the magnetic force produced in the same circle:

- Use the Biot-Savart law to find the magnetic force produced on the circle at point P.

- The magnetic field at the center of the circle is: B = (μ₀ * I) / (2 * r), where μ₀ is the vacuum magnetic field and I moves around the circle. r is its radius.

- Use the formula to calculate the magnet B1 made from the first coil.

2. Calculate the magnetic force produced by the second coil:

- Calculate the magnetic force B2 produced by the second coil using the previous method.

3. Add the magnetic fields of the two circuits:

- Add points B1 and B2 to obtain the magnetic force at P.

- B_total = B1 + B2

We have two circles of radius "r = 0.1 meters" placed side by side with "I = 2 amperes". We want to calculate the magnetic field

At point P in the center of these circles.

1. Calculate the magnetic field produced by a single coil:

Use the formula B = (μ₀ * I) / (2 * r), where μ₀ is the vacuum magnetic field:

μ₀ =

- 47 10 T7) *m/A (vacuum permeability)

- r = 0.1 m (circumferential radius)

- I = 2 A (circular flow)

B1 = (4π * 10 ^(-7) T* m /A * 2 A) / (2 * 0.1 m)

= 4π * 10^(-6) T (tesla)

2. Calculate the magnetic field produced by the second

Use the equivalent formula:

B2 = (4π * 10^(-A7) 2 * T *m. ) / (2 * 0.44 m)

= 4π * 10 ^( -6) T (Tesla)

3. Combine the two The magnetic fields of the circuits add up:

B_total = B1 + B2 4440 = B1 + B2 440 = B1 ^(-6) T + 4 * 10^ (446) T 44 * 10 ^(-6) T (tesla )

Therefore, the total magnetic force at point P is 8π * 10^(- 6) T (tesla) for a rectangle of equal length.

Bibliographic reference

Basic concepts of electricity and magnetism by Abdel Rahim Garzón, Gladys Patricia, 2012.

Physics for science and technology. Volume 2, by Paul Allen Tipler, Gene Mosca, 2005.