1 Answer

Denys Denysenko · Answer 1 · 2022-01-02T03:23:16+0000

Answer:

The magnetic energy density is
$E_B = 9.95 *10^(-4) \ J/m^3$

Step-by-step explanation:

From the question we are told that

The earths magnetic field is
$B = 0.5 \ Gauss$

Now

$1 \ Gauss \to 1 *10^(-4) \ T$

=>
$0.5 \ Gauss \to x T$

So

x = (0.5 * 1*10^(-4))/(1)

$x = B= 5.0 *10^(-5) \ T$

Generally the magnetic energy density is mathematically represented as

$E_B = (B^2)/( 2 * \mu_o )$

Here
$\mu_o$ is the permeability of free space with a constant value

$\mu_o = 4\pi * 10^(-7) N/A^2$

substituting values for equation above

$E_B = ((5*10^(-5))^2)/( 2 * 4\pi * 10^(-7) )$

$E_B = 9.95 *10^(-4) \ J/m^3$

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