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ID:(1933, 0)

Equation

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Una alambre por el que circula corriente genera un campo magnético circular en torno de este.

Por ello con el campo magnético se calcula mediante:

ID:(12167, 0)

Equation

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When considering a segment $dl$ of a wire with a certain cross-sectional area $S$ and length, it results in a volume of wire. Multiplying this volume by the charge density $c$ gives us the number of charges contained within it. Finally, by multiplying it by the unit charge $q$, we obtain the total charge present in the segment.

$\Delta Q = q c S dl$

Conditions

Variables

$Q$

Charge

$C$

5459

$c$

Charge concentration

$1/m^3$

5474

$dl$

Length element

$m$

9669

$\Delta Q$

Load element

$C$

9668

$S$

Section of Conductors

$m^2$

5475

Relation

ID:(12172, 0)

Equation

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The current is defined by the equation:

and the charges within a segment of wire are represented by:

The ratio of the length of the segment to the corresponding time interval gives us the velocity:

$v =\displaystyle\frac{dl}{dt}$

Therefore, the current in the wire is equal to:

$I = q c S v$

Conditions

Variables

$\bar{v}$

Average speed of charges

$m/s$

8505

$Q$

Charge

$C$

5459

$c$

Charge concentration

$1/m^3$

5474

$I$

Current

$A$

5483

$S$

Section of Conductors

$m^2$

5475

Relation

ID:(12173, 0)

Equation

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If a wire carrying a current $I_1$ generates a magnetic field given by:

This field generates a magnetic flux density represented by:

Which, in turn, produces a force per segment in a wire with a current $I_2$, defined as:

With this, the force per segment can be expressed as:

$\displaystyle\frac{ dF }{ dl } = \mu_0 \mu_r \displaystyle\frac{ I_1 I_2 }{2 \pi r }$

Conditions

Variables

$I_1$

Current 1

$A$

9677

$I_2$

Current 2

$A$

9678

$\displaystyle\frac{ dF }{ dl }$

Force per length

$N/m$

9679

$\mu_0$

Magnetic field constant

1.25663706212e-6

$V s/A m$

5518

$\pi$

Pi

3.1415927

$rad$

5057

$\mu_r$

Relative magnetic permeability

$-$

5517

$d$

Wire distance

$m$

8588

Relation

ID:(12169, 0)

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When two currents are allowed to flow in a parallel manner, we observe an attractive force between the wires.

It's worth recalling that currents consist of electrons in motion, and electrons naturally repel each other due to their negative charges. However, when these charges are in motion, this repulsive force turns into an attractive force, resulting in the observed attraction between the negatively charged conductors.

ID:(11772, 0)

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When two currents are allowed to flow in a parallel but opposite direction, we observe a repulsive force between the wires.

Comparing this experiment to the one where the flow is parallel but in the same direction, the key difference lies in the presence of relative velocity in the latter case.

ID:(11773, 0)