Answer: A microwave oven operates at 2.4GHz with an intensity inside the oven of 2500 W/m^2. Then, the amplitudes of the oscillating electric and magnetic fields are, [tex]B_0=4.57*10^{-6} T and E_0=1.37*10^{3} V/m[/tex]
Explanation: To find the correct answer, we have to know more about the EM Waves.
What are EM waves?
- Electromagnetic waves can be defined as the waves, that can interact with the matter and are created as a result of vibrations of electric and magnetic fields.
- Maxwell theoretically predicted the existence of electromagnetic waves.
- A time varying magnetic field is a source of electric field.
- Similarly, an oscillating electric field gives rise to an oscillating magnetic field.
- The amplitudes of electric and magnetic fields can relate as,
[tex]E_0=cB_0[/tex]
- The expression for intensity of electromagnetic waves in terms of amplitude of magnetic field can be written as,
[tex]I=\frac{1}{2u_0} cB_0^{2}[/tex]
How to solve the problem?
- From the above expression of intensity, we can find the expression for amplitude of magnetic field as,
[tex]B_0=\sqrt{\frac{2u_0I}{c} }=\sqrt{\frac{2*4*3.14*10^{-7}*2500 }{3*10^{8} } } =4.57*10^{-6} T[/tex]
- Thus, from the amplitude of magnetic field, we get, the amplitude of electric field as,
[tex]E_0=cB_0=3*10^{8} *4.57*10^{-6} =1371 V/m[/tex]
Thus, from the above calculations, we get the amplitudes of the oscillating electric and magnetic fields are, [tex]B_0=4.57*10^{-6} T and E_0=1.37*10^{3} V/m[/tex]
Learn more about the Electromagnetic waves here:
https://brainly.com/question/28020090
#SPJ4
