Question

Derive an expression for energy density in the magnetic field

Answer 1

Derive expression for energy stored in magnetic field

Key Points

The formula for the energy stored in a magnetic field is E = 1/2 LI2.The energy stored in a magnetic field is equal to the work needed to produce a current through the inductor.Energy is stored in a magnetic field. Energydensity can be written as uB=B22μ u B = B 2 2 μ .


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Answer 2

Answer:

$(1/2)ε0E2$

Explanation:

Energy Density-The energy density in a magnetic field is given in the absence of matter by 1/2B2/μ0; it is measured in units of joules per cubic metre. The total magnetic energy can be obtained by integrating the energy density over all space. The direction of the magnetic.

Derivation-

Energy density = Energy/volume

$UE = U / VEnergy = 1/2 [ε0 E2] × AdUE = 1/2 [ε0 E2] × Ad / AdUE = (1/2)ε0E2$

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