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

AI Thread Summary
The discussion focuses on calculating the wavelength, frequency, and electric field amplitude of a magnetic wave given its magnetic field equation. The wavelength is determined using the formula λ = 2π/k, yielding a value of approximately 6.28 x 10^-7 m. Frequency can be derived from the wave's speed and wavelength using the relationship c = λf. The amplitude of the electric field is found using the equation E = cB, where c is the speed of light and B is the amplitude of the magnetic field. The conversation highlights the interconnections between these parameters in electromagnetic wave equations.
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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