Wire interaction

Storyboard

>Model

ID:(1625, 0)



Magnetic Field around a Wire

Definition


ID:(1933, 0)



Parallel currents

Image

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)



Opposite parallel currents

Note

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)



Wire interaction

Storyboard

Variables

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$\bar{v}$
v_m
Average speed of charges
m/s
$Q$
Q
Charge
C
$c$
c
Charge concentration
1/m^3
$I$
I
Current
A
$I_1$
I_1
Current 1
A
$I_2$
I_2
Current 2
A
$\displaystyle\frac{ dF }{ dl }$
DF_l
Force per length
N/m
$dl$
dl
Length element
m
$\Delta Q$
DQ
Load element
C
$\mu_0$
mu_0
Magnetic field constant
T m/A
$H_w$
H_w
Magnetic field of a wire
V/m
$r$
r
Radius
m
$\mu_r$
mu_r
Relative magnetic permeability
-
$S$
S
Section of Conductors
m^2
$d$
d
Wire distance
m

Calculations


First, select the equation:   to ,  then, select the variable:   to 

Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

 Variable   Given   Calculate   Target :   Equation   To be used



Equations


Examples

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

Por ello con list el campo magn tico se calcula mediante:

equation

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.

kyon

The current is defined by the equation:

equation=10401

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

equation=12172

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:

kyon

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

equation=12167

This field generates a magnetic flux density represented by:

equation=12171

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

equation=12170

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

kyon

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

image

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.

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

image

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.


>Model

ID:(1625, 0)