Relating B and E in an electromagnetic wave

AI Thread Summary
To determine B(rms) in terms of E(max) for an electromagnetic wave, the relationship E = cB is used. The maximum magnetic field B(max) is related to the root mean square (rms) value by the factor of sqrt(2), meaning B(max) = sqrt(2) x B(rms). This confirms that the rms value is indeed derived using the square root of 2. The discussion clarifies the confusion regarding the factor involved in converting between max and rms values. Understanding these relationships is crucial for solving problems related to electromagnetic waves.
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Homework Statement



I need to determine B(rms) in terms of E(max) given a standard E-M wave.

Homework Equations



E = cB

The Attempt at a Solution



I assumed that B(max) is sqrt(2) x B(rms) and then just plugged in for B(max) in the equation above. Am I right in assuming the rms value involves a square root? (I get confused if it's 2 or sqrt(2))
 
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You are right. The max value is greater than the rms value by a factor of sqrt(2).
 
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