Question

Магнитная индукция В в центре кругового проводника радиуса R = 0,1 м составляет 12,6 мкТл. Определить магнитный момент pm этого проводника с током.

Answer 1

Магнитный момент кругового контура с током pm равен: pm = IS.

Магнитная индукция B в центре кругового проводника с током: В = μoμI.2R

Выразив из последней формулы ток в проводнике I и подставив в первое уравнение, получим: pm =2πBR3.μoμ

После подстановки численных значений pm = 0.063 А•м2. 

Answer 2

Calculation of Magnetic Moment of a Circular Conductor

To determine the magnetic moment of a circular conductor with a radius of R = 0.1 m and a magnetic induction of B = 12.6 μT at its center, we can use the formula:

magnetic moment (pm) = B * A

where: - B is the magnetic induction - A is the area of the circular conductor

To find the area of the circular conductor, we can use the formula:

A = π * R^2

Substituting the given values, we have:

A = π * (0.1 m)^2

Let's calculate the area first:

A = 0.0314 m^2 Now, we can calculate the magnetic moment:

pm = B * A

pm = 12.6 μT * 0.0314 m^2

To perform the calculation, we need to convert the magnetic induction from microtesla (μT) to tesla (T):

1 μT = 1 * 10^-6 T

Substituting the values and performing the calculation:

pm = (12.6 * 10^-6 T) * 0.0314 m^2

pm = 3.964 * 10^-7 T * m^2

Therefore, the magnetic moment of the circular conductor with a radius of 0.1 m and a magnetic induction of 12.6 μT at its center is 3.964 * 10^-7 T * m^2.

Please let me know if you need any further assistance!