Question

Your local AM radio station broadcasts at a frequency of f = 1260 kHz. The electric-field component of the signal you receive at your home has the time dependence E(t) = E0 sin(2πft), where the amplitude is E0 = 0.41 N/C. Radio waves travel through air at approximately the speed of light. At what wavelength, in meters, does this station Eede t? Grade Summary Deductions 0% 100% Submissions Attempts remaining: 3 (4% per attempt) detailed view cotan0 asin acos0 atan()acotanO cosh0tan0 coho 0 END Degrees Radians CLEAR Submit Hint I give up! Hints: 4% deduction per hint. Hints remaining: 2 Feedback: 5% deduction per feedback Δ 50% Part (b) What is the value of the radio wave's electric field, in newtons per coulomb, at your home at a time of 4.8 μs?

Answer 1

Answer:

Explanation:

Frequency of signal = 1260 KHz

= 1260 x 10³ = 126 x 10⁴ Hz

velocity of wave  = 3 x 10⁸ m /s

wavelength = velocity / frequency

= $\frac{3\times10^8}{126\times10^4}$

= 238 m

b )E(t) = E0 sin(2πft)

E(t) = 0.41 sin(2πft)

when t = 4.8 μs

= 4.8 x 10⁻ ⁶

E(t) = 0.41 sin(2π x 126 x 10⁴ x4.8 x 10⁻ ⁶ )

= 0.41 sin(2π x 126 x 10⁴ x4.8 x 10⁻ ⁶ )

= 0.41 sin(37.98 rad )

= .11 N/C