. Electronic apparatus for biological research. Electronic apparatus and appliances; Biology -- Research. INDUCTANCES AND RESISTANCES The ideal transformer This is supposed to have a voltage ratio between input and output of n, so that ^2 = ne^, and to be completely efficient, so that e^i^ = ^I'l and there- fore /'i = ni^. If a load R be connected to the output terminals, then i^ = e^lR, and it is easy to see that /^ = n^eiJR. ° f' 1 F* Tn n S Where -t; =n A/, Figure Comparing this with the transformation obtained by electromagnetic induc- tion, we see that /^ = n^eJR is analogous to the
. Electronic apparatus for biological research. Electronic apparatus and appliances; Biology -- Research. INDUCTANCES AND RESISTANCES The ideal transformer This is supposed to have a voltage ratio between input and output of n, so that ^2 = ne^, and to be completely efficient, so that e^i^ = ^I'l and there- fore /'i = ni^. If a load R be connected to the output terminals, then i^ = e^lR, and it is easy to see that /^ = n^eiJR. ° f' 1 F* Tn n S Where -t; =n A/, Figure Comparing this with the transformation obtained by electromagnetic induc- tion, we see that /^ = n^eJR is analogous to the useful fraction of primary current (NjNif E^jR where 1 : « :: A^^ : N^, and we can therefore represent the electromagnetic transformer by an ideal transformer and a self inductance {Figure ). Reflection through an ideal transformer—n^E^/R is the current which would flow if, instead of the ideal transformer and load resistance R, there was. % I ^ n "Vn^ (c) (b) Figure merely a resistance Rjn^. It therefore appears that in Figure a-c are equivalent. The secondary winding load resistance R is said to be reflected as a resistance Rjn^ across the input terminals. Use of ideal transformer for matching—The ability of an ideal transformer to convert voltages and currents is often incidental to its ability to match a. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Donaldson, Peter Eden Kirwan. New York, Academic Press
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