For a repeater with a 75 watts transmitter output and various losses including a 10 dB antenna gain, what is the effective radiated power?

To determine the effective radiated power (ERP) of a repeater, you start with the transmitter's output power and then factor in any gain from the antenna and losses in the system.

In this case, the transmitter has an output of 75 watts. The given antenna has a gain of 10 dB. To convert the dB gain into a power factor, you can use the formula:

Power factor (in watts) = 10^(Gain in dB / 10).

Applying this to the 10 dB gain:

Power factor = 10^(10 / 10) = 10^1 = 10.

Next, you'll multiply the transmitter output by this power factor to find the effective radiated power:

Effective Radiated Power (ERP) = Transmitter Output Power × Power Factor

ERP = 75 watts × 10 = 750 watts.

However, the answer provided is likely based on understanding. If there were any additional system losses not already accounted for that were not mentioned in the question, such losses would need to be considered to arrive accurately at an answer aligning with provided choices. But using the antenna gain straightforwardly, we see how one could justify ERP calculations leading to substantial output.

If interpreted through the