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
Messages
187
Reaction score
0
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...
 
Physics news on Phys.org
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
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Calculating magnetic field outside a solenoid
Replies
15
Views
1K
What is the amplitude of induced EMF in a magnetic dipole antenna?
Replies
3
Views
2K
Maximum electric field from magnetic field
Replies
12
Views
3K
How Is Polarized Light Propagation Determined from Electric and Magnetic Fields?
Replies
6
Views
2K
Estimating damped harmonic oscillator parameters from this plot of the oscillations
Replies
9
Views
2K
Effect of different magnetic fields on a magnetic dipole
Replies
25
Views
1K
Did I Calculate the Correct Derivative to Validate Faraday's Law?
Replies
3
Views
1K
Angle between electric and magnetic field
Replies
3
Views
2K
Find expression for electric field from magnetic field
Replies
4
Views
2K
Calculate electric field given the magnetic field
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top