Energy Density Calculator, Formula with Examples

Energy Density Calculator :

Enter the Energy density calculator its Electric field in kN/C, Magnetic field in milli tesla(mT), Energy density in J/m³, and you get the calculation below the calculator check it.

Energy Density of Fields Calculator

Energy Density Formula :

Electrical Energy Density U (v/m) in volt per meter is equal to the product of the Permittivity of free space ε0(f/m)  in farad per meter is multiply by Electric Field E2(v/m) in volt per meter. Hence the energy density formula has been written as,

U (v/m) = (1/2)ε0(f/m) E2(v/m)

Where,

U →Electrical Energy Density in (v/m)

ε0 → Permittivity of free space in  (f/m)

E →Electric Field in (v/m)

The energy density of a magnetic field or an inductor is given by,

Magnetic Energy Density U(J/m3) in Joule per meter cube is equal to the product of the Permeability μ0(N/A-2) in Newton per Ampere square is multibly by Magnetic Field B2(A/m2) in Ampere per meter square.Hence the energy density of a magnetic field has been written as,

U(J/m3) = (1/2 μ0(N/A-2) ) B2(A/m2)

Where,

U → Magnetic Energy Density in (J/m3)

μ0→ Permeability in (N/A-2)

B → Magnetic Field in (A/m2)

Sample Examples:

Example 1:

Calculate the energy density of a capacitor if its electric field, E = 12 V/m?

Solution :

Given,

E = 12 V/m,

ε0 = 8.8541 * 10-12 F/m

Since,

U = (1/2)ε0E2

U = (1/2) * 8.8541 * 10-12 * 122

U = (1/2) * 1274.99 * 10-12

U = 637.495 * 10-12

U = 6.375 * 10-10 FV2/m3.

Example 2:

Calculate the energy density of a capacitor if its electric field, E = 20 V/m?

Solution :

Given ,

E = 20 V/m,

ε0 = 8.8541 * 10-12 F/m

Since,

U = (1/2)ε0E2

U = (1/2) * 8.8541 * 10-12 * 202

U = (1/2) * 3541.64 * 10-12

U = 1.7 * 10-9 FV2/m3.

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