Wavelength, frequency, and E field amplitude from magnetic field equation

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SUMMARY

The discussion focuses on the relationship between the magnetic field and electric field amplitude in electromagnetic waves, specifically using the equation B_z = (3.0 µT) * sin((1.00 * 10^7)x - ωt). The wavelength (λ) is calculated as 6.28 * 10^-7 m using the formula λ = 2π/k, where k = 1 * 10^7. The frequency (f) is derived from the speed of light (c) and wavelength (λ) using the equation c = λf. The amplitude of the electric field (E) is determined to be E = cB, where B is the amplitude of the magnetic field.

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Linus Pauling
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1. The magnetic field of an electromagnetic wave in a vacuum is B_z= ( 3.0 uT )*sin(( 1.00*107)x - omega*t) , where x is in m and t is in s.

What is the wavelength and frequency of this magnetic wave? What is the amplitude of the E field?



2. wavelength = 2pi/k
frequency = f = 1/T = omega/2pi
E = cB



3. k = 1*107, so lambda = 2pi/k = 6.28*10-7

How do I find frequency without knowing omega?

How do I go about obtaining an actual value for E0? It doesn't seem like E =cB will be enough here...
 
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How are the frequency and the wavelength related?

ehild
 
Yeah I got frequency since I posted this from c = lamba*f but I'm stuck on E still
 
You need the amplitude of the E field and it is c times the amplitude of B. What is the amplitude of B?

ehild
 

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