A microwave oven operates at 2.4 GHz with an intensity inside the oven of 2700 <mtext>&#xA0;</m

Jazlyn Raymond

Jazlyn Raymond

Answered question

2022-05-09

A microwave oven operates at 2.4 GHz with an intensity inside the oven of 2700   W / m 2 .
What is the amplitude of the oscillating electric field?
What is the amplitude of the oscillating magnetic field?

Answer & Explanation

Finnegan Zimmerman

Finnegan Zimmerman

Beginner2022-05-10Added 16 answers

The expression for the amplitude of the oscillating magnetic field is,

Here, I is the intensity, \mu_0, is the permeability of free space and c is speed of light
Substitute 4 π × 10 7 T m / A   f o r   μ 0 , 2700   W / m 2 f o r   I ,   a n d   3 × 10 8 m / s f o r   c
B 0 = 2 ( 4 π × 10 7 T m / A ) ( 2700   W / m 2 ) 3 × 10 8   m / s = 4.75 × 10 6   T
Then, the amplitude of the oscillating electric field is, E 0 = c B 0
= ( 3 × 10 8   m / s 2 ) ( 4.75 × 10 6 T ) = 1.42 × 10 3   V / m
Therefore, the amplitude of the oscillating electric field and magnetic field are E 0 = 1.42 × 10 3   V / m  and  B 0 = 4.75 × 10 6 T

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