Power radiated by an electric dipole

An electric dipole of moment 2 2 c-m rotates in vacuum with a constant angular velocity of 5 5 rad/sec. about an axis passing through it's mid point and perpendicular to it's own axis. What is the power radiated by this dipole?

Take the electric permitivity of free space and speed of light in vacuum to be equal to 1 1


The answer is 132.629.

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1 solution

The power radiated by an electric dipole of moment p \vec p moving with acceleration w \vec w is P = p ¨ 2 6 π ϵ 0 c 3 = p 2 ω 4 6 π ϵ 0 c 3 P=\dfrac{\ddot p^2}{6π\epsilon_0c^3}=\dfrac{p^2\omega^4}{6π\epsilon_0c^3} .

Here ϵ 0 \epsilon_0 is the electric permitivity of free space , c c is the speed of light in vacuum, ω \omega is the angular velocity of the dipole.

Substituting values, we get P 132.629 P\approx 132.629 .

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