Question

Typical large values for electric and magnetic fields attained in laboratories are about 1.8×104 V/m and 2.6 T

Determine the energy density for the electric field. answer- 1.4*10^-3 J/m^3

Determine the energy density for the magnetic field.

Compare two densities.

What magnitude electric field would be needed to produce the same energy density as the magnetic field of 2.6 T ?

Answer 1

As we know that

Energy in Electric Field = 0.5*Epsilon*E^2

= 0.5*8.854*10^-12*(1.8*10^4)^2

= 0.00143435 J/m^3

Energy in Magnetic Field = 0.5*B^2 / meu

= 0.5*(2.6)^2/(4pi*10^-7)

= 2689718.54 J/m^3

So For same Energy density

0.5*8.854*10^-12*(E)^2 = 2689718.54

E = 7.795*10^8 V/m

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