Vis magnetica inter duo fila parallela – problemata et solutiones
1. Duo conductores paralleli currentes I portantes1 et ego2, ut in figura infra demonstratur. Quae est magnitudo et directio Vis magnetica ab utroque conductore percepta? (μo = 4π.10-7 Wb.A-1.m-1)
Notum:
quod electrica current 1 (Ego)1) = 3 Ampera
Currens electricus 2 (I2) = 5 Ampera
Permeabilitas spatii liberi (µo) = 4π × 10-7 wb A-1 m-1
Distantia inter ambos conductores (L) = 5 cm = 5 × 10-2 metris
SE busca: The magnitude and direction of the magnetic force
solution:
The direction of the electric current on conductor 1 is opposite with the direction of the electric current on conductor 2. Antiparallel currents (in opposite directions) exert a repulsive force on each other.
The magnitude of the magnetic force :
F/l = 6 × 10-5 Newton,
2. Two parallel wires carrying currents I1 et ego2 are 20-cm apart. What is the magnitude of the magnetic force experienced by each wire (μo = 4π.10-7 Wb.A-1.m-1)
Notum:
Currens electricus 1 (I1) = 5 Ampera
Currens electricus 2 (I2) = 4 Ampera
Permeabilitas spatii liberi (µo) = 4π × 10-7 wb A-1 m-1
Distance between both wires (L) = 20 cm = 20 x 10-2 metris
SE busca: The magnitude of the magnetic force
solution:
The direction of the electric current on conductor 1 is opposite with the direction of the electric current on conductor 2. Antiparallel currents (in opposite directions) exert a repulsive force on each other.
The magnitude of the magnetic force :
F/l = 2 × 10-5 Newton,
20 conceptual questions and answers related to the magnetic force between two parallel wires:
1. Quaeritur: What is the primary cause of the magnetic force between two parallel current-carrying wires?
Responsum: The magnetic force between two parallel wires arises due to the magnetic fields produced by the currents in each wire acting on the other wire.
2. Quaeritur: How does the direction of current in the two wires affect the force between them?
Responsum: If the currents flow in the same direction, the wires attract each other. If the currents flow in opposite directions, the wires repel each other.
3. Quaeritur: What is the relationship between the distance between the wires and the magnetic force?
Responsum: The magnetic force is inversely proportional to the distance between the wires. As the distance increases, the force decreases.
4. Quaeritur: How does the magnitude of the current in the wires affect the force?
Responsum: The force is directly proportional to the product of the currents in the two wires.
5. Quaeritur: What happens to the force if one of the wires has no current?
Responsum: The force will be zero because a wire with no current doesn’t produce a magnetic field to affect the other wire.
6. Quaeritur: Why is the magnetic force between two parallel wires considered a non-contact force?
Responsum: The force is due to the interaction of their magnetic fields, not direct physical contact.
7. Quaeritur: How does the magnetic field produced by one wire vary with distance?
Responsum: The magnetic field strength decreases with increasing distance from the wire.
8. Quaeritur: Can the magnetic force between two parallel wires be shielded or blocked?
Responsum: While it’s challenging to completely shield magnetic fields, using materials with high magnetic permeability can redirect and reduce the effect of the fields on each other.
9. Quaeritur: If the two wires are perpendicular to each other, how does the magnetic force between them change?
Responsum: If the wires are perpendicular and their currents cross paths, they won’t exert a simple attractive or repulsive force on each other as parallel wires do.
10. Quaeritur: How is the direction of the magnetic force on a current-carrying wire determined?
Responsum: The direction can be determined using the right-hand rule: point the thumb in the direction of the current, and the curled fingers will indicate the direction of the magnetic field.
11. Quaeritur: Is the magnetic force between two parallel wires a central force?
Responsum: No, it’s not a central force because the direction and magnitude of the force depend on both the relative orientation and separation of the wires.
12. Quaeritur: Can the wires feel a force even if they are placed in a vacuum?
Responsum: Yes, the magnetic force between the wires doesn’t rely on a medium; it can exist in a vacuum.
13. Quaeritur: How is the unit of current, the Ampere, related to the force between two wires?
Responsum: One Ampere is defined as the current that, when flowing in two parallel conductors of infinite length and placed one meter apart in a vacuum, results in a force of 2 x 10^(-7) Newtons per meter of length between the wires.
14. Quaeritur: Do the materials of the wires affect the magnetic force between them?
Responsum: The material of the wires does not directly affect the force. The force depends on the current and the distance between the wires.
15. Quaeritur: What is the role of the permeability of free space (μ₀) in the force between two parallel wires?
Responsum: The permeability of free space is a constant that relates magnetic field strength to the current causing it and appears in the formula for the force between two current-carrying wires.
16. Quaeritur: Can magnetic forces do work on the wires?
Responsum: While magnetic forces can exert a force on a current-carrying wire, they don’t do work as they act perpendicular to the direction of motion.
17. Quaeritur: How do the lengths of the wires affect the magnetic force between them?
Responsum: The force is proportional to the lengths of the wires that are parallel and close to each other.
18. Quaeritur: Are there any real-life applications or consequences of the magnetic force between parallel wires?
Responsum: Yes, in electrical circuits, especially those with high currents, the magnetic interaction between wires can cause them to move, which needs to be considered in design.
19. Quaeritur: If one wire is coiled into a loop, how does it affect the magnetic force?
Responsum: A coiled wire, or solenoid, produces a stronger magnetic field than a straight wire, altering the force between it and another wire.
20. Quaeritur: Can the magnetic forces between parallel wires be used to measure current?
Responsum: Yes, devices like current balance utilize the magnetic force between wires to measure current by equating it to a known mechanical force.
Understanding the magnetic force between parallel wires is fundamental in electromagnetism and has implications in circuit design, electronics, and electrical engineering.
