1) Find the maximum magnetic field strength of an EM wave in air that has a maxi

Question

1) Find the maximum magnetic field strength of an EM wave in air that has a maximum electric field anne strength of 10.0 V/m. 2) Find the wavelength (in air) for each of the following frequencies of radio waves: a. 105.1 MHz (105.1 FM) b. 880 kHz AM) (880 c. 103.5 MHz (103.5 FM) d. 1130 kHz (1130 AM) 3) Find the frequency in air) for EM waves with the following wavelengths. Identify what type of EM wave each of these wavelengths represents on the EM spectrum. a. 0.275 m b. 4.95 cm C. 0.350 nm d. 0.650 um 4) Find the intensity of the following EM waves in air. a. Eo 250 b. Bo 0.0850 T

Explanation / Answer

1) E = 10 V/m

E = Bc

10 = B *3*10^8

B= 3.33*10^-8 T

2) c = 3*10^8 m/s

c = f*lamda

(a) f = 105.1 MHz

3*10^8 = 105.1*10^6*lamda

lamda = 2.854 m

(b) f = 880 kHz

3*10^8 = 880*10^3*lamda

lamda = 341 m

(c) f = 103.5 MHz

3*10^8 = 103.5*10^6*lamda

lamda = 2.9 m

(d)f = 1130 kHz

3*10^8 = 1130*10^3*lamda

lamda = 265.5 m

3) c = 3*10^8 m/s

c = f*lamda

(a) lamda = 0.275 m

3*10^8 = f*0.275

f = 1.091*10^9 Hz

(b) lamda = 4.95 m

3*10^8 = f*0.0495

f = 6.061*10^9 Hz

(c) lamda = 0.35 nm

3*10^8 = f*0.35*10^-9

f = 8.57*10^17 Hz

(d) lamda = 0.650 um

3*10^8 = f*0.65*10^-6

f = 4.6*10^14 Hz

4) I = 0.5eoEo^2c

a) Eo =250 V/m

I =0.5*8.85*10^-12*250^2*3*10^8

I = 83 W/m^2

(b) Bo = 0.085 T

Eo = Boc

Eo = 0.085*3*10^8

I =0.5*8.85*10^-12*(0.085*3*10^8)^2*3*10^8

I = 8.63*10^11 W/m^2

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