Updated: Dec 9, 2025 | Source: 2024-2028 Question Pool | Topic: E9A
E9A06E9A

What is the effective radiated power (ERP) of a repeater station with 200 watts transmitter power output, 4 dB feed line loss, 3.2 dB duplexer loss, 0.8 dB circulator loss, and 10 dBd antenna gain?

Deep Dive: E9A06

The correct answer is A: 317 watts. To calculate Effective Radiated Power (ERP), account for all gains and losses: ERP = Transmitter Power × (Gain - Losses). Convert dB to ratios. Given: 200W transmitter, 4 dB feedline loss, 3.2 dB duplexer loss, 0.8 dB circulator loss, 10 dBd antenna gain. Total losses = 4 + 3.2 + 0.8 = 8 dB. Net gain = 10 dBd - 8 dB = 2 dB. Converting: 2 dB = 10^(2/10) = 1.585 ratio. ERP = 200W × 1.585 = 317W. ERP accounts for all losses (feedline, duplexer, circulator) and antenna gain to give the effective radiated power.

Why Other Answers Are Wrong

Option B: Incorrect. 2,000 watts would result from ignoring losses or incorrect calculation. That's 10× the transmitter power, which doesn't account for the 8 dB of losses. Option C: Incorrect. 126 watts would result from incorrect calculation of the net gain/loss. Option D: Incorrect. 300 watts is close but not the exact calculated value. The correct calculation gives 317W.

Exam Tip

ERP calculation = Account for all losses and gains. Remember: ERP = Power × (Gain - All Losses). With 200W, 10 dBd gain, and 8 dB total losses, net = 2 dB = 1.585×, ERP = 317W.

Memory Aid

**E**RP = **2**00W × (**1**0 dBd - **8** dB losses) = **3**17W (think 'ERP = 200×(10-8) = 317W')

Real-World Example

Your repeater has 200W transmitter, 4 dB feedline loss, 3.2 dB duplexer loss, 0.8 dB circulator loss, and 10 dBd antenna gain. Total losses = 8 dB. Net gain = 10 - 8 = 2 dB = 1.585×. ERP = 200W × 1.585 = 317W. This is your effective radiated power after all losses and gains.

Source & Coverage

Question Pool: 2024-2028 Question Pool

Subelement: E9A

Reference: FCC Part 97.313

Key Concepts

Effective radiated power ERP Gain and losses Power calculation

Verified Content

Question from the official FCC Extra Class pool. Explanation reviewed by licensed amateur radio operators and mapped to the E9A topic.