The Emergency Radio Antenna · AI Generator #GEN-4E3BD1D4
Physics · electromagnetism
Problem
During a wilderness emergency, Sarah needs to improve the range of her handheld radio by constructing a simple antenna. She has a roll of copper wire and knows that her radio operates at a frequency of f=27.0MHz (citizens band radio). For maximum efficiency, she wants to create a quarter-wave monopole antenna, where the length of the antenna equals one-fourth of the wavelength of the radio waves in air. Electromagnetic waves in air travel at the speed of light c=3.00×108m/s. What length of copper wire should Sarah cut for her antenna?