How Do You Calculate the Period of an Electromagnetic Wave?

[sonrie]

What is the period T of the wave ?

If i am given:
Maximum electric field of 2450 V/m
Wavelength of 547 nm

I found:
Angular Wave # 1.15*10^7
Angular Frequency 3.45*10^15
Velocity of Electromagnetic Wave 3*10^8 m/s
B max of 8.17*10^-6 T
Intensity of 7960 W/m^2

I tried to solve for T by first finding the frequency which is W/2*pi, or 3.45*10^15/2*3.14 = 5.49*10^14 so then i put in T= 1/F final answer was 1.82*10^-15 which was incorrect! Please Help

 

[sonrie]

nevermind i got it.

 

[Moetasim]

I would approach this problem by first clarifying the units used for the given values. The maximum electric field of 2450 V/m is in units of volts per meter, while the wavelength of 547 nm is in units of nanometers. In order to calculate the period T of the wave, we need to first convert the wavelength into meters, which would be 547 nm * (1 m / 10^9 nm) = 5.47*10^-7 m.

Next, we can use the formula for the speed of a wave, v = fλ, where v is the velocity, f is the frequency, and λ is the wavelength. We already have the wavelength, so we need to solve for the frequency. Rearranging the formula, we get f = v/λ. Plugging in the given values, we get f = (3*10^8 m/s) / (5.47*10^-7 m) = 5.49*10^14 Hz.

Now, we can use the formula T = 1/f to find the period. Plugging in the frequency we just calculated, we get T = 1 / (5.49*10^14 Hz) = 1.82*10^-15 seconds. This matches the answer you calculated, so it seems like you were on the right track. However, it's important to double check the units and make sure they are consistent throughout the calculations. In this case, the units for frequency should be in Hz, not radians per second, so make sure to convert accordingly.

Overall, the period of the wave in this scenario is 1.82*10^-15 seconds. Keep in mind that this value may change depending on the given electric field and wavelength, as the period is affected by both of these factors.