The earth's magnetic field, like any magnetic field, stores energy. The maximum strength of the earth's field is about 7.0 x 10-5 T. Find the maximum magnetic energy stored in the space above a city if the space occupies an area of 4.8 x 108 m2 and has a height of 1500 m.

Respuesta :

Answer:

1.4 x 10^9 J

Explanation:

magnetic field, B = 7 x 10^-5 T

Area, A = 4.8 x 10^8 m^2

height, H = 1500 m

the formula for the energy density is given by

[tex]u=\frac{B^{2}}{2\mu _{0}}[/tex]

Total energy = Energy density x Volume

[tex]U=\frac{B^{2}}{2\mu _{0}}\times A\times H[/tex]

[tex]U=\frac{\left (7\times 10^{-5}  \right )^{2}}{2\times 4\times 3.14\times 10^{-7}}\times 4.8\times 10^{8}\times 1500[/tex]

U = 1.4 x 10^9 J

Thus, the maximum magnetic energy stored is 1.4 x 10^9 J