Final answer:
The wavelength is 360.48 meters. The wave number is 0.0174 rad/m. The angular frequency is 5.21×10^6 rad/s. The electric-field amplitude is 1.28 V/m.
Step-by-step explanation:
To find the wavelength, we can use the formula: wavelength = speed/frequency. For this question, the frequency of the radio station is given as 8.30×10^5 Hz. The speed of light is the speed at which electromagnetic waves travel, which is approximately 3×10^8 m/s. Substituting these values into the formula, we get: wavelength = (3×10^8 m/s)/(8.30×10^5 Hz) = 360.48 meters.
To find the wave number, we can use the formula: wave number = 2π/wavelength.
Substituting the value we found for wavelength, we get: wave number = 2π/(360.48 meters) = 0.0174 rad/m.
To calculate the angular frequency, we can use the formula: angular frequency = 2π × frequency.
Substituting the given frequency, we get: angular frequency = 2π × (8.30×10^5 Hz)
= 5.21×10^6 rad/s.
To calculate the electric-field amplitude, we can use the formula: electric-field amplitude = magnetic-field amplitude × speed. Substituting the given magnetic-field amplitude and the speed of light, we get: electric-field amplitude = (4.26×10^-11 T) × (3×10^8 m/s) = 1.28 V/m.