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Magnetic Energy in 2-D object?

How can I calculate magnetic energy ( OR You can say Electrostatic energy which is more correct to say) stored in an 2-D object ?

I mean to say That If I know B=F(x) in an 2-D figure say Circle Then how Can I calculate magnetic energy in that area??

I know that Magnetic energy stored per unit volume is \(\frac { { B }^{ 2 } }{ 2{ \mu }_{ 0 } } \).

But can I use same result for magnetic energy per unit area ??

Please help me I'm too confused!

Thanks!

Note by Karan Shekhawat
2 years, 9 months ago

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The value of energy stored due to magnetic field in a given finite area is \(0\). But if this is an area enclosed by a wire carrying current, the magnetic energy is \(-\vec{M}\cdot \vec{B}\). Compare this to an electric dipole in electric field. The energy \(\dfrac{1}{2} \epsilon_{0} E^2 dV\) is different from \(- \vec{p}.\vec{E}\). Jatin Yadav · 2 years, 8 months ago

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@Jatin Yadav ohh.... Thanks a lot!

But I have doubt that if that magnetic field vary with Time then still Magnetic (or actually Electrostatic ) energy stored is zero ?? Karan Shekhawat · 2 years, 8 months ago

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@Ronak Agarwal @Mvs Saketh @jatin yadav or any other please Help Karan Shekhawat · 2 years, 8 months ago

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