Electronic apparatus for biological research electronicappara00dona Year: 1958 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 primar
Electronic apparatus for biological research electronicappara00dona Year: 1958 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
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