Question

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)

Answer 1

The energy stored in a room is 0.0286 Joules.

Step-by-step 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,
`B=5* 10^(-5)\ T`

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

`E=(B^2)/(2\mu_o)V`

Here,

V is the volume of the room

`E=((5*10^(-5))^(2))/(2*4\pi*10^(-7))*(3*4*2.4)\\\\E=0.0286\ J`

`E=0.0286\ J`

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