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1/4 wave is capacitive a longer than a 1/4 wave is inductive. 3/4 wave will also work, its not ideal but it works better than most crappy baluns people buy or build.


Edit: You are correct there is no optimum length for a properly terminated transmission line. However when there is common mode present the correct length transmission line can cancel out the common mode current via the series capacitance and inductance of the transmission line.


Edit: sorry I read that wrong