Electromagnetism

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ID:(1904, 0)


Parallel currents

Description

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

Description

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)


Parallel currents, field is not electric

Description

If a metal plate is placed between both conductors, no noticeable effect is observed:



Hence, we conclude that the generated field does not correspond to a traditional electric field.

ID:(11774, 0)


Current effect on a compass

Description

When a compass is exposed to an electric current, the following observations can be made:



In summary, the compass needle:
• does not rotate if there is no electric current present
• rotates when there is a flow of electric current
• if the direction of the current flow is reversed, the rotation of the needle also reverses.

ID:(11775, 0)


Detection of the generated magnetic field

Description

When you explore the space around a wire with a compass, you'll notice that the current induces the presence of a magnetic field:



This is why parallel wires can either attract or repel each other depending on the direction of the current. The key insight here is that:

Current generates a magnetic field, and this magnetic field exerts a force on moving charges.


ID:(11776, 0)


Electromagnetism

Description

Variables

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$I$
I
Current
A
$l$
l
Length of coil
m
$H_s$
H_s
Magnetic field of a coil/solenoid
V/m
$H_w$
H_w
Magnetic field of a wire
V/m
$N$
N
Number of Loops in Coil
-
$r$
r
Radius
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

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)

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)

If a metal plate is placed between both conductors, no noticeable effect is observed:



Hence, we conclude that the generated field does not correspond to a traditional electric field.

(ID 11774)

When a compass is exposed to an electric current, the following observations can be made:



In summary, the compass needle:
• does not rotate if there is no electric current present
• rotates when there is a flow of electric current
• if the direction of the current flow is reversed, the rotation of the needle also reverses.

(ID 11775)

When you explore the space around a wire with a compass, you'll notice that the current induces the presence of a magnetic field:



This is why parallel wires can either attract or repel each other depending on the direction of the current. The key insight here is that:

Current generates a magnetic field, and this magnetic field exerts a force on moving charges.


(ID 11776)

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

Por ello con el campo magn tico se calcula mediante:

$ H_w = \displaystyle\frac{ I }{ 2\pi r }$

(ID 12167)

Si se observa el campo que genera una bobina se vera la similitud con el de un im n permanente. El campo depende de la corriente que circula por la bobina, de su largo y su numero de vueltas.

Por ello con el campo magn tico se calcula mediante:

$ H_s = \displaystyle\frac{ N I }{ L }$

(ID 12166)

Following a similar analogy to the introduction of electric potential in terms of the magnetic field $H$ and the distance traveled $L$, we can introduce magnetic tension as:

$ f = H L $


(ID 14293)

The concept of magnetic tension can be generalized by considering the case of a variable magnetic field intensity $\vec{H}$ along the path $d\vec{s}$. In this case, magnetic tension would need to be calculated through a path integral.

$ f = \displaystyle\int_C \vec{H} \cdot d \vec{s} $


(ID 14294)

In the case where the magnetic field intensity $\vec{H}_i$ can be approximated by a series of segments $\Delta\vec{s}_i$ in which it is constant, magnetic tension can be discretely calculated as follows:

$ f = \displaystyle\sum_i \vec{H}_i \cdot \Delta \vec{s} $


(ID 14295)


ID:(1904, 0)