set16new - ECE3050 Assignment 16 1 The gure shows a VBE...

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ECE3050 — Assignment 16 1. The fi gure shows a V BE multiplier. (a) By writing a single node equation at the base node of Q 1 , show that I 1 = I B + V BE R 2 = V = V BE μ 1 + α R 1 R 2 + I 1 + β R 1 Hint: Consider the emitter node to be the datum or zero voltage reference node and use I B = I C β = 1 β ( I I 1 ) = 1 β μ I V V BE R 1 (b) If β → ∞ , show that the answer for part (a) is the same as the one derived in class. (c) For a given I and I 1 , show that R 1 = V V BE I 1 and R 2 = V BE I 1 I/β (d) For V T = 25 mV , I S = 7 . 5 × 10 15 A , β = 99 , and I = 5 mA , solve for R 1 and R 2 if V = 2 . 4 V and I 1 = 0 . 1 I . Answers: R 1 = 3 . 44 k , R 2 = 1 . 49 k . (e) Calculate the new values of R 1 and R 2 if the base current in the BJT is neglected. Answers: R 1 = 3 . 44 k , R 2 = 1 . 36 k . (f) Repeat part (d) for I 1 = 0 . 9 I . Answers: R 1 = 395 , R 2 = 137 . (g) Calculate the new values of R 1 and R 2 if the base current in the BJT is neglected.
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