Calculating Microwave Oven Energy Transfer: What Information Do I Need?

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To calculate the energy transferred per unit time from a microwave oven, the key information includes the wavelength of 0.122m and a peak magnetic field of 1.3 x 10^-5 T. The relevant equations involve the speed of light (c), which is approximately 2.99 x 10^8 m/s, and the relationship between intensity (I), magnetic field (B), and the permeability of free space. The discussion highlights the need to determine the average intensity from the peak value and how intensity relates to power. Ultimately, understanding that c represents the speed of light is crucial for solving the problem.
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Homework Statement


I need to find the energy transferred per unit time from a microwave oven, and the only information I have is:

Wavelength = .122m
Peak Magnetic Field of microwaves = 1.3*10^-5 T


Homework Equations


c=f*lambda
I = (c*B^2)/(permeability of free space) = EB / (permeability of free space)


The Attempt at a Solution


My problem is I need either "c" or "f" in c=f(lambda) OR the electric field... I think? I'm not quite sure what to do.
 
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ninjadrummer8 said:
I = (c*B^2)/(permeability of free space)

You can find I from the given B. Two more things to think about:

1. Using the peak B given will result in the peak of I. What will be the average of I?

2. How does I relate to power?
 
Ok, but I run into the same problems again. I have neither c nor E so I am stuck with 3 unknowns.
 
But you do have c. Think about it ... what is c?
 
OH! I'm an idiot. c is just the speed of light isn't it? so 2.99 x 10^8 m/s
 
ninjadrummer8 said:
c is just the speed of light isn't it? so 2.99 x 10^8 m/s

Yes.
 
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