What is the effective radiated power (ERP) of a repeater station with 150 watts transmitter power output, 2 dB feed line loss, 2.2 dB duplexer loss, and 7 dBd antenna gain?

To find the Effective Radiated Power (ERP), you must first calculate the net system gain or loss in decibels (dB). The total loss in the system is the sum of the feed line loss and the duplexer loss: 2 dB + 2.2 dB = 4.2 dB of total loss. The antenna provides a gain of 7 dBd. Subtracting the system losses from the antenna gain gives the net system gain: 7 dB - 4.2 dB = 2.8 dB net gain. Next, convert this net decibel gain into a power multiplier using the formula: Multiplier = 10^(dB/10). In this case, 10^(2.8/10) = 10^0.28, which is approximately 1.905. Finally, multiply the original transmitter output power by this multiplier: 150 watts × 1.905 = 285.8 watts, which rounds to 286 watts.