1. The problem statement, all variables and given/known data Assume that the power radiated by the television transmitter uniformly fills the upper hemisphere. A UHF television with a single-turn circular loop antenna of radius 8 cm requires a maximum induced voltage above 24 mV for operation. The speed of light is 2.99792 × 108 m/s. Find the distance d at which reception is lost from a 569 kW transmitter operating at 0.16 GHz. Answer in units of km 2. Relevant equations dE/dx = -dB/dt E_induced = -N(dMFlux/dt) E = E_0 cos(k(x - vt)) (where v = c) k = 2Pi / lambda S = P_tran / (2Pir^2) (not 4Pir^2 because its a hemisphere, so only half) S = E_0^2 /(mu_naught * c * 2) lambda = c/f 3. The attempt at a solution I found -dB/dt with the wave function, took the derivative of E = E_0 cos(k(x - vt)), got dE/dx to be -.5*k*E_0. Set them equal, solved for E_0, and got (-dB/dt * lambda) / Pi. I then set the poynting vectors equal so P_tran / (2Pid^2) = E_0^2 /(mu_naught * c * 2), which when solved for r is d = ((P_tran * mu_naught * c)/(Pi * E_0^2))^(1/2) I ended up with a value or arbitrary units, no where near what it should be. What am i doing wrong?