Work and Energy of a Magnetic Dipole Calculator

The Work and Energy of a Magnetic Dipole Calculator will calculate the:

Energy of a magnetic dipole
Work done on a magnetic dipole

Calculation parameters: Medium is considered as uniform; the conducting wire used for the coil is uniform, circular and it has the same thickness everywhere.

Work and Energy of a Magnetic Dipole Calculator
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Calculator Precision (Decimal Places)
Amount of current flowing through the coil (I) A
Radius of coil (r) m
Number of turns in the coil (N)
Archimedes Constant (π)
Magnetic field (B) T
Initial angle formed by the magnetic dipole moment vector and the magnetic field lines (θ₁) rad
Final angle formed by the magnetic dipole moment vector and the magnetic field lines (θ₂) rad

Work and Energy of a Magnetic Dipole Calculator Results (detailed calculations and formula below)
Energy of magnetic dipole calculation
The current energy of a magnetic dipole (Take the value of the initial angle θ1 as that of current angle) is J [Joule]
The work done on a magnetic dipole is J [Joule]
U = N × I × π × r² × B × cosθ₁ U = × × × ² × × cos() U = × × × × × U =
Work done on the magnetic dipole calculation
W = N × I × π × r² × B × (cosθ₂ - cosθ₁) W = × × × ² × × (cos() - cos()) W = × × × × × ( - ) W = × × × × × W =
Work Done On A Magnetic Dipole Calculator Input Values
Amount of current flowing through the coil (I) A [Amp]
Radius of coil (r) m [metre]
Number of turns in the coil (N)
Archimedes Constant (π)
Magnetic field (B) T [Tesla]
Initial angle formed by the magnetic dipole moment vector and the magnetic field lines (θ₁) rad [radian]
Final angle formed by the magnetic dipole moment vector and the magnetic field lines (θ₂) rad [radian]

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each work done on a magnetic dipole calculation, the Work Done On A Magnetic Dipole Calculator will automatically calculate the results and update the Physics formula elements with each element of the work done on a magnetic dipole calculation. You can then email or print this work done on a magnetic dipole calculation as required for later use.

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Discover Physics with free Physics Revision Notes and Physics Calculator: Work Done On A Magnetic Dipole. This image shows the properties and work done on a magnetic dipole formula for the Work Done On A Magnetic Dipole. The Work and Energy of a Magnetic Dipole Calculator will calculate the energy of a magnetic dipole and the work done on a magnetic dipole.

Energy of magnetic dipole Formula and Calculation

U = N × I × π × r² × B × cosθ₁

Work done on the magnetic dipole Formula and Calculation

W = N × I × π × r² × B × (cosθ₂ - cosθ₁)

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