"What is the energy density (energy per cubic meter) carried by the magnetic field vector in a small region of space in a EM wave at an instant of time when the electric vector is a maximum of 3500V/m

Respuesta :

Answer:

The energy density is  [tex]Z = 5.4 2 *10^{-5 } \ J/m^3[/tex]

Explanation:

From the question we are told that

    The electric vector is  [tex]E = 3500 \ V/m[/tex]

Generally the energy vector is mathematically represented as

      [tex]Z = 0.5 * \epsilon_o * E^2[/tex]

Where  [tex]\epsilon_o[/tex] is the permitivity of free space with the value  [tex]\epsilon_o = 8.85*10^{-12} \ \ m^{-3} \cdot kg^{-1}\cdot s^4 \cdot A^2[/tex]

substituting values

      [tex]Z = 0.5 * 8.85 *10^{-12} * 3500^2[/tex]

      [tex]Z = 5.4 2 *10^{-5 } \ J/m^3[/tex]

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