Question

"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

Answer 1

The energy density is
`Z = 5.4 2 *10^(-5 ) \ J/m^3`

Step-by-step explanation:

From the question we are told that

The electric vector is
`E = 3500 \ V/m`

Generally the energy vector is mathematically represented as

`Z = 0.5 * \epsilon_o * E^2`

Where
`\epsilon_o` is the permitivity of free space with the value
`\epsilon_o = 8.85*10^(-12) \ \ m^(-3) \cdot kg^(-1)\cdot s^4 \cdot A^2`

substituting values

`Z = 0.5 * 8.85 *10^(-12) * 3500^2`

`Z = 5.4 2 *10^(-5 ) \ J/m^3`