Question
magnitude of the force from a magnetic field wire
The longer a wire is,
the weaker the force is.
the stronger the force is.
The longer a wire is,
the weaker the force is.
the stronger the force is.
Answers
GPT-4o mini
The force experienced by a wire carrying an electric current in a magnetic field is determined by several factors, including the length of the wire, the strength of the magnetic field, the current flowing through the wire, and the angle between the wire and the magnetic field direction.
According to the formula for the magnetic force on a straight current-carrying wire:
\[ F = I \cdot L \cdot B \cdot \sin(\theta) \]
where:
- \( F \) is the force,
- \( I \) is the current (in amperes),
- \( L \) is the length of the wire (in meters),
- \( B \) is the magnetic field strength (in teslas),
- \( \theta \) is the angle between the wire and the direction of the magnetic field.
From this formula, we can see that the force \( F \) is directly proportional to the length of the wire \( L \).
Therefore, the correct interpretation is:
- **The longer a wire is, the stronger the force is.**
This means that if all other factors (current, magnetic field strength, and angle) remain constant, increasing the length of the wire will result in a greater force exerted on the wire by the magnetic field.
According to the formula for the magnetic force on a straight current-carrying wire:
\[ F = I \cdot L \cdot B \cdot \sin(\theta) \]
where:
- \( F \) is the force,
- \( I \) is the current (in amperes),
- \( L \) is the length of the wire (in meters),
- \( B \) is the magnetic field strength (in teslas),
- \( \theta \) is the angle between the wire and the direction of the magnetic field.
From this formula, we can see that the force \( F \) is directly proportional to the length of the wire \( L \).
Therefore, the correct interpretation is:
- **The longer a wire is, the stronger the force is.**
This means that if all other factors (current, magnetic field strength, and angle) remain constant, increasing the length of the wire will result in a greater force exerted on the wire by the magnetic field.