Magnetic Fields in Loops and Solenoids

Circular loops and solenoids create more complex magnetic field patterns that have important applications.

For a circular loop of wire:

Definition: The magnetic field at the center of a circular loop is given by the formula:

B manyetik alan formülü: B = (μ₀ · I) / (2R)

Where:

• μ₀ is the permeability of free space
• I is the current
• R is the radius of the loop

For a solenoid (a coil of wire):

Highlight: Solenoid manyetik alan formülü: B = (μ₀ · N · I) / L

Where:

• N is the number of turns
• L is the length of the solenoid

Example: A long solenoid creates a nearly uniform magnetic field inside its core, which is useful in applications like electromagnets and transformers.

The magnetic field strength inside a solenoid depends on the current, number of turns, and length, but not on the diameter of the coil.

Vocabulary: A solenoid is a type of electromagnet formed by a helical coil of wire.

Magnetic Forces

Magnetic forces act on moving charged particles and current-carrying conductors in magnetic fields.

The magnetic force on a moving charged particle is given by:

Highlight: Manyetik kuvvet Formülü: F = q · v × B

Where:

• F is the force
• q is the charge of the particle
• v is the velocity of the particle
• B is the magnetic field

Definition: The direction of the magnetic force is perpendicular to both the velocity of the particle and the magnetic field, following the right-hand rule.

For a current-carrying wire in a magnetic field:

Highlight: Tele Etki Eden Manyetik Kuvvet formülü: F = I · L × B

Where:

• I is the current in the wire
• L is the length of the wire segment

Example: This principle is used in electric motors, where the magnetic force on current-carrying coils causes rotation.

The interaction between magnetic fields and moving charges or currents is the basis for many electromagnetic devices and phenomena.

Vocabulary: Manyetik Kuvvet yönü is determined by the right-hand rule, where the thumb represents the direction of current, the fingers represent the direction of the magnetic field, and the palm faces the direction of the force.