To determine Prove that the three equations are solved for i B to obtain the result which is identical to the equation i B = ( V C C R 2 R 1 + R 2 ) − V 0 R 1 R 2 R 1 + R 2 + ( 1 + β ) R E . Explanation Given data: The three equation are, i B = v c R E ( 1 + β ) (1) v c = v b − V 0 (2) v b = V C C R 2 ( 1 + β ) R E + V 0 R 1 R 2 R 1 R 2 + ( 1 + β ) R E ( R 1 + R 2 ) (3) Calculation: Substitute equation (2) in equation (1). i B = v b − V 0 R E ( 1 + β ) (4) Substitute equation (3) in equation (4). i B = ( V C C R 2 ( 1 + β ) R E + V 0 R 1 R 2 R 1 R 2 + ( 1 + β ) R E ( R 1 + R 2 ) ) − V 0 R E ( 1 + β ) = V C C R 2 ( 1 + β ) R E + V 0 R 1 R 2 − V 0 ( R 1 R 2 + ( 1 + β ) R E ( R 1 + R 2 ) ) ( R 1 R 2 + ( 1 + β ) R E ( R 1 + R 2 ) ) ( R E ( 1 + β ) ) = V C C

10th Edition

ISBN: 9780133760033

Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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Chapter 4, Problem 31P

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Prove that the three equations are solved for iB to obtain the result which is identical to the equation iB=(VCCR2R1+R2)−V0R1R2R1+R2+(1+β)RE.

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Chapter 4, Problem 30P

Chapter 4, Problem 32P

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