## 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 Formula :

Electrical Energy Density U _{(v/m) }in volt per meter is equal to the product of the Permittivity of free space ε_{0}_{(f/m) }in farad per meter is multiply by Electric Field E^{2}_{(v/m) }in volt per meter. Hence the energy density formula has been written as,

**U _{(v/m) }= (1/2)ε_{0}_{(f/m) }E^{2}_{(v/m)}**

Where,

U →Electrical Energy Density in (v/m)

ε_{0} → 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 μ_{0}_{(N/A-2) }in Newton per Ampere square is multibly by Magnetic Field B^{2}_{(A/m2)} in Ampere per meter square.Hence the energy density of a magnetic field has been written as,

**U _{(J/m3)} = (1/2 μ_{0}_{(N/A-2) }) B^{2}_{(A/m2)}**

Where,

U → Magnetic Energy Density in (J/m^{3})

μ_{0}→ Permeability in (N/A^{-2})

B → Magnetic Field in (A/m^{2})

## 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,

ε_{0} = 8.8541 * 10^{-12} F/m

Since,

U = (1/2)ε_{0}E^{2}

U = (1/2) * 8.8541 * 10^{-12} * 12^{2}

U = (1/2) * 1274.99 * 10^{-12}

U = 637.495 * 10^{-12}

U = 6.375 * 10^{-10} FV^{2}/m^{3}.

### Example 2:

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

### Solution :

Given ,

E = 20 V/m,

ε_{0} = 8.8541 * 10^{-12} F/m

Since,

U = (1/2)ε_{0}E^{2}

U = (1/2) * 8.8541 * 10^{-12} * 20^{2}

U = (1/2) * 3541.64 * 10^{-12}

U = 1.7 * 10^{-9} FV^{2}/m^{3}.