To determine Find the predicted values of voltage v 1 and v 2 if R 1 and R 3 is increased to 10 % above their nominal values and R 2 and R 4 is decreased to 10 % below their nominal values of the given circuit. Explanation Given data: Refer to Figure and Table (PSPICE Sensitivity Analysis Results) given in the textbook. The current source is I g 1 = 12 A and I g 2 = 16 A . The resistors R 1 = 25 Ω , R 2 = 5 Ω , R 3 = 50 Ω , and R 4 = 75 Ω . Calculation: Given the value of the resistors R 1 and R 3 increased to 10 % above their nominal values. Therefore, The new of value of resistance R 1 is, R 1 = ( 25 ) + ( 25 × 10 100 ) = 25 + 2.5 = 27.5 Ω The new of value of resistance R 3 is, R 3 = ( 50 ) + ( 50 × 10 100 ) = 50 + 5 = 55 Ω Given the value of the resistors R 2 and R 4 decreased to 10 % below their nominal values. Therefore, The new of value of resistance R 2 is, R 2 = ( 5 ) − ( 5 × 10 100 ) = 5 − 0.5 = 4.5 Ω The new of value of resistance R 4 is, R 4 = ( 75 ) − ( 75 × 10 100 ) = 75 − 7.5 = 67.5 Ω By hypothesis, Δ R 1 = 27.5 Ω − 25 Ω = 2.5 Ω And, Δ R 2 = 4.5 Ω − 5 Ω = − 0.5 Ω And, Δ R 3 = 55 Ω − 50 Ω = 5 Ω And, Δ R 4 = 67.5 Ω − 75 Ω = − 7.5 Ω Refer to Table (PSPICE Sensitivity Analysis Results) given in the textbook. The value of Δ v 1 is calculated as follows, Δ v 1 = ( 0.5833 ) Δ R 1 − ( 5.417 ) Δ R 2 + ( 0.45 ) Δ R 3 + ( 0.2 ) Δ R 4 (1) Substitute 2.5 for Δ R 1 , − 0.5 for Δ R 2 , 5 for Δ R 3 , and − 7.5 for Δ R 4 in equation (1) as follows, Δ v 1 = ( 0

10th Edition

ISBN: 9781292060545

Author: James W. Nilsson, Susan Riedel

Publisher: Pearson Education Limited

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Chapter 4, Problem 108P

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Find the predicted values of voltage v1 and v2 if R1 and R3 is increased to 10% above their nominal values and R2 and R4 is decreased to 10% below their nominal values of the given circuit.

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Chapter 4, Problem 107P

Chapter 5.2, Problem 1AP

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