Question

Part C - Saturation of a summing op amp circuit

For the circuit shown(Figure 2), determine the range (i.e., maximum and minimum values) of V1V1 such that the op amp operates in the linear region. Assume that R1 = 5.0 kΩ , R2 = 8.2 kΩ , R3 = 8.2 kΩ , RF = 180 kΩ , V2 = 10 mV, V3 = 60 mV , and VCC = 15 V .

Express your answer to three significant figures separated by a comma.

Submit Previous Answers Correct Part C - Saturation of a summing op amp circuit Figure < 1 of 2 > For the circuit shown (Figure 2), determine the range i.e., maximum and minimum values of V1 such that the op amp operates in the linear region. Assume that R1 = 5.0 k 2, R2 = 8.2 k22, R3 = 8.2 k22, RF = 180 kN, 12 = 10 mV, V3 = 60 mV, and Vcc = 15 V. Express your answer to three significant figures separated by a comma. View Available Hint(s) IVO ACQ vec O O ? vam minimum V1, maximum V1 = mV, mV Submit Provide Feedback Next >

Answer 1

#1 Ri Vom V om 10A sol Pastuc Saturation of a summing op-amp circuit R. = 56.2 ; R2=8-2K2 ; R3=8.2K12 ; Rp = 180 K12 V = 10mV ; V3 = 60 mV & Vcc=15V. Assuming that op-amp is ideal & also the op-amp circuit is in negative feedback configuration Therefore, Virtual shoot condition escists. e [v+ = ] VA - OV + k = OV

Node equation at k: the very Kom o co Substituting V = OV RE A ↑ → V-5h :) , + ( ) x + ( a v → Vo - Lestek) , - ( 152 ) Vz - ( Vo = -36 V, -21.951 V2–21.951 V3 V - -36 V, – 21.951(v + V) substituting V₂ & ₃ values. Vo = -36V, - 21.951(10460) x103) * = -36V, - 1:535 Op-amp to be in linear region, the condition - Vee = lo s vec ie 15€ Vo < 15 is -

substituting Vo in above relation -15% -36V, -1.536 = 15 -157.536 % -36 V, 15+1.536 -13-464 § -36 V, < 16.536 - 13464 <-V, 5161536 -0.374 <-V, < 0.4593 0.374 >V, 2-0.4593 1-0.4593 < V 50.314 7 Range of V, that will Keep the op-amp in Linear region. minimum V = -0.459 Volls maximum V, = 0.374 . Volta · terms of mv minimum V, = -4.59 m Volts malimum k, = 374 m volte

Note: i Virtual short condition exists only if the op-amp is ideal & Op-amp is in negative feedback. (1) As op-amp is ideal, Current entering its input - terminals is always zero ampere. c) The general output of a summing amplifier is va WR V₂0 Wrz VOM vo - 45 ) + the) 2 +(585) «z + (V) V₂ - Vo. Vit Linear Operating region : - Yec svo <vec