Question

A sinusoidal electromagnetic wave from a radio station passes perpendicularly through an open window that has area of 0.700 m2 . At the window, the electric field of the wave has an rms value 0.0400 V/m .

How much energy does this wave carry through the window during a 30.0-s commercial?
Express your answer with the appropriate units.

Answer 1

The value is
`E =  8.9 *10^(-5) \  J`

Step-by-step explanation:

From the question we are told that

The area is
`A =  0.700 \  m^2`

The root mean square value is
`E_(rms) =  0.0400 \  V/m`

The time taken is
`t =  30.0 \  s`

Generally the energy is mathematically represented as

`E =  c *  \sepsilon_o *  A  *  t  * E_(rms)^2`

=>
`E =  3.0*10^(8) *  8.85*10^(-12) *  0.700 *  30 * (0.04)^2`

=>
`E =  8.9 *10^(-5) \  J`