Seemingly simple question that I managed to be stumped on.

  • Thread starter Xyius
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In summary, the problem in this grad electromagnetism class asks to evaluate the expression \sqrt{\frac{\mu_0}{\epsilon_0}}, including units. Using the formula \frac{1}{\sqrt{\mu_0 \epsilon_0}}=c, the solution is found to be \mu_0 c, which equals around 376.7. This value is significant and has units of H/s, which are equivalent to Ohms. It is known as the "Impedance of free space" and can be explained further in articles such as the one provided.
  • #1
Xyius
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This is in my grad electromagnetism class but it seems like a very simple question so I was unsure of where to post it.

Homework Statement


All the problem says is to evaluate the following (including units)

[tex]\sqrt{\frac{\mu_0}{\epsilon_0}}[/tex]

Homework Equations



[tex]\frac{1}{\sqrt{\mu_0 \epsilon_0}}=c[/tex]

The Attempt at a Solution



So using the above formula, this is just simply [itex]\mu_0 c[/itex] which happens to equal around 376.7. The problem is, I do not know what this value is. is this a significant number? The units would be H/s.
:confused:
 
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  • #2
Xyius said:
This is in my grad electromagnetism class but it seems like a very simple question so I was unsure of where to post it.

Homework Statement


All the problem says is to evaluate the following (including units)

[tex]\sqrt{\frac{\mu_0}{\epsilon_0}}[/tex]


Homework Equations



[tex]\frac{1}{\sqrt{\mu_0 \epsilon_0}}=c[/tex]

The Attempt at a Solution



So using the above formula, this is just simply [itex]\mu_0 c[/itex] which happens to equal around 376.7. The problem is, I do not know what this value is. is this a significant number? The units would be H/s.
:confused:

Yes it's a significant number. Hint: units H/s are equivalent to Ohms :wink:
 
  • #3
I did some internet searching and found an article explaining this. The article says it is called the "Impedance of free space." Gives a pretty good explanation :]

http://www.physlink.com/Education/askExperts/ae674.cfm

Thanks!
 

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