# Work and Energy of a Magnetic Dipole Calculator

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

1. Energy of a magnetic dipole
2. 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.

 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123456789101112131415 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
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 × cosθ1U = × × × 2 × × cos()U = × × × × × U = W = N × I × π × r2 × B × (cosθ2 - cosθ1)W = × × × 2 × × (cos() - cos())W = × × × × × ( - )W = × × × × × W = 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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Please provide a rating, it takes seconds and helps us to keep this resource free for all to use ## Related Physics Chapters with Tutorials

Section 14: Electrostatics

Section 15: Electrodynamics

Section 16: Magnetism

Section 17: Electronics

Section 22: Cosmology

Also, see Trigonometry and Mechanics

## 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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