Magnetic Dipole Moment Calculator
Calculate magnetic dipole moment for current loops and solenoids
Calculate Magnetic Dipole Moment
Single Loop
Wire wrapped in one turn
μ = I × A
Solenoid
Wire wrapped in N turns
μ = N × I × A
Electric current flowing through the wire
Radius
A = πr²
Wire Length
A = L²/(4π)
Direct Area
A = given
Radius of the circular loop
Magnetic Dipole Moment Results
Formula used: μ = I × A
Input values: I = 0.000 A, A = 0.000e+0 m²
Physics Insights
Example Calculation
Wire Loop Example
Current: 2 A
Wire length: 2 m (wrapped in a loop)
Area calculation: A = L²/(4π) = 4/(4π) ≈ 0.318 m²
Body type: Single loop
Calculation
μ = I × A
μ = 2 A × 0.318 m²
μ ≈ 0.637 A⋅m²
Right-Hand Rule
Curl Fingers
Curl fingers in direction of current flow
Thumb Direction
Thumb points in direction of magnetic dipole moment
Field Lines
Magnetic field emerges from this direction
Applications
Compass needles and navigation
MRI machines and medical imaging
Electric motors and generators
Speakers and audio equipment
Antenna design and electromagnetics
Atomic and molecular physics
Understanding Magnetic Dipole Moment
What is Magnetic Dipole Moment?
The magnetic dipole moment is a vector quantity that measures the strength and direction of a magnet's magnetic field. For current-carrying loops and solenoids, it represents how the flowing electric current creates a magnetic field similar to a bar magnet.
Current Loop as a Magnet
- •Electric current in a loop creates magnetic field lines
- •Field pattern resembles that of a bar magnet
- •Direction determined by right-hand rule
- •Strength depends on current and loop area
Formulas
Single Current Loop:
μ = I × A
Where I is current and A is loop area
Solenoid (N turns):
μ = N × I × A
Where N is number of turns
Units: Magnetic dipole moment is measured in ampere-square meters (A⋅m²)
Torque in Magnetic Field
When a magnetic dipole is placed in an external magnetic field, it experiences a torque that tends to align it with the field direction.
τ = μ × B × sin(θ)
Where τ is torque, B is magnetic field strength, and θ is the angle between μ and B