How much energy is stored in a room 3.0 m by 4.0 m by 2.4 m due
to the earth's magnetic field with a strength of 5.0 × 10-5 T? (μ0 = 4π
× 10-7 T · m/A)

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Below are the choices that can be found from other sources:


A) 29 mJ
B) 57 mJ
C) 10 mJ
D) 100 mJ
E) 570 mJ

The answer is A) 29 mJ 

Answer:

The energy stored in a room is 0.0286 Joules.

Explanation:

Given that,

The dimensions of the room are 3 m by 4 m by 2.4 m

The strength of the Earth's magnetic field, [tex]B=5\times 10^{-5}\ T[/tex]

We need to find the energy stored in a room due to the Earth'a magnetic field. It is given by :

[tex]E=\dfrac{B^2}{2\mu_o}V[/tex]

Here,

V is the volume of the room

[tex]E=\dfrac{(5\times10^{-5})^{2}}{2\times4\pi\times10^{-7}}\times(3\times4\times2.4)\\\\E=0.0286\ J[/tex]

[tex]E=0.0286\ J[/tex]

So, the energy stored in a room is 0.0286 Joules. Hence, this is the required solution.