Question

Прямой проводник, расположенный перпендикулярно линиям магнитной индукции, при пропускании по нему тока силой 1 А приобрел ускорение 2 м/с2. Площадь поперечного сечения проводника 1 мм2, плотность материала проводника 2500 кг/м3. Чему равна индукция магнитного поля (в мТл)? Силу тяжести не учитывать.

Answer 1

$F=ma\\BIL=ma\\B=\cfrac{ma}{IL}=\cfrac{\rho Va}{IL}=\cfrac{\rho SLa}{IL}=\cfrac{\rho Sa}{I}=0,05\cdot 10^{-3}$

Answer 2

Calculating the Magnetic Field Induction

To calculate the magnetic field induction, we can use the formula:

B = (m * a) / (I * l)

Where: - B = magnetic field induction - m = permeability of the material (constant) - a = acceleration of the conductor - I = current passing through the conductor - l = length of the conductor

Given: - Current (I) = 1 A - Acceleration (a) = 2 m/s^2 - Area of cross-section (A) = 1 mm^2 = 1 * 10^-6 m^2 - Density of the material (ρ) = 2500 kg/m^3

First, we need to calculate the length (l) of the conductor using the area of cross-section and the density of the material.

Calculating the Length of the Conductor

We can use the formula: ρ = m / V Where: - ρ = density of the material - m = mass of the material - V = volume of the material

The mass of the material can be calculated using the formula: m = ρ * V

The volume of the material can be calculated using the formula: V = A * l

Substituting the value of m from the mass formula into the density formula, we get: ρ = (ρ * A * l) / V

Solving for l: l = V / A

Now, we can calculate the length (l) of the conductor.

Calculating the Magnetic Field Induction

Substitute the values of m, a, I, and l into the formula: B = (m * a) / (I * l)

After calculating, the magnetic field induction (B) will be in millitesla (mT).