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

[Linus Pauling]

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*10^{7, 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...

 

[ehild]

How are the frequency and the wavelength related?

ehild

 

[Linus Pauling]

Yeah I got frequency since I posted this from c = lamba*f but I'm stuck on E still

 

[ehild]

You need the amplitude of the E field and it is c times the amplitude of B. What is the amplitude of B?

ehild