Magnetic dipole radiation

Electromagnetic duality replaces the electric dipole

p

by

m / c

for a magnetic dipole moment

m

. Therefore

P = \frac{μ _{0}}{6 π c ^{3}} ∣ \overset{m}{¨} ∣^{2} .

Table of contents
- Magnetic-dipole spin-down Magnetic dipole radiation

Magnetic-dipole spin-down

If a rigid body's inclined magnetic dipole rotates at angular speed

Ω

, its radiated power is

C Ω^{4}

. Conservation of rotational energy

I Ω^{2} /2

then gives

\dot{Ω} = - \frac{C}{I} Ω^{3}, Ω (t)^{- 2} = Ω_{0}^{- 2} + \frac{2 C}{I} t .

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Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 3 / 36B / d / Solution
Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 3 / 36B / Solution

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