L12_L11Part2 R10_R20 Formulas_1

L12_L11Part2 R10_R20 Formulas_1 - 6.4 Derivation of...

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6.4 Derivation of Formulas R 10 20
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2 R 10 Calculation R b , R e , and R c are the equivalent resistances, external to the transistors, between base and ground, between emitter and ground, and between collector and ground respectively. Note that R b , R e , and R c include the loading effects of adjacent stages. Furthermore each is the resistance looking out of a terminal between that terminal and ground.
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(a) Remove C μ and calculate the resistance R 10 facing C π . Replace C π by a voltage source V t and calculate I t . (b) R 10 = V t / I t Use of the principle of superposition. Note that by placing a known voltage source V t across r π that the dependent current generator g m V is now determined and g m V = g m V t because V = V t . We can now treat g m V t as in independent source. Thus we may treat the problem as one having two independent sources V t and g m V t . We can use the principle of superposition to calculate I t . Let I t1 be the current I t when g m V t is made
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L12_L11Part2 R10_R20 Formulas_1 - 6.4 Derivation of...

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