Answer:
[tex]V=29.9\ m^3[/tex]
Explanation:
Given that,
Magnetic field strength, B = 0.55 T
Energy stored, [tex]E=3.6\times 10^6\ J[/tex]
To find,
The magnetic field occupy to store this amount of energy.
Solution,
We know that the magnetic energy per unit volume in the magnetic field is given by :
[tex]\dfrac{E}{V}=\dfrac{B^2}{2\mu_o}[/tex]
[tex]\dfrac{3.6\times 10^6}{V}=\dfrac{(0.55)^2}{2\times 4\pi \times 10^{-7}}[/tex]
[tex]V=29.9\ m^3[/tex]
So, the volume in the vacuum is [tex]29.9\ m^3[/tex]. Hence, this is the required solution.
