Explanation Given data: Refer to the reference figure in the question. Write the expression for percent error. % error = [ approximate value true value − 1 ] × 100 (1) The value of resistance, R f = 470 kΩ . The value of resistance, R = 10 kΩ . The value of input voltage, v i n = 15 V . The value of percent error, % error = 1% Calculation: Let v p is the node voltage at the non-inverting input terminal of the op amp, v n is the node voltage at the inverting input terminal of the op amp. Let R 1 = R + Δ R in the circuit. Apply Kirchhoff’s current law at node v p . v p R f + v p R + v p − v i n R 1 = 0 v p ( 1 R f + 1 R + 1 R 1 ) = v i n R 1 v p = R R f v i n R R 1 + R f R 1 + R f R According to the properties of ideal op amp, the voltage at the non-inverting input terminal is equal to the voltage at the inverting input terminal of the op amp. Therefore, v p = v n . v n = R R f v i n R R 1 + R f R 1 + R f R (2) Apply Kirchhoff’s current law at node v n . v n R + v n − v i n R + v n − v o R f = 0 v n ( 1 R + 1 R + 1 R f ) − v o R f = v i n R v o R f = v n ( R + 2 R f R R f ) − v i n R (3) Substitute equation (2) in (3). v o R f = ( R R f v i n R R 1 + R f R 1 + R f R ) ( R + 2 R f R R f ) − v i n R = [ ( R + 2 R f ) v i n R R 1 + R f R 1 + R f R ] − v i n R = ( R + 2 R f R R 1 + R f R 1 + R f R − 1 R ) v i n = ( R 2 + 2 R R f − R R 1 − R f R 1 − R f R R ( R R 1 + R f R 1 + R f R ) ) v i n Simplify the equation as follows v o R f = ( R 2 + 2 R R f − R 1 ( R + R f ) − R f R R ( R 1 ( R + R f ) + R f R ) ) v i n v o = [ R 2 + 2 R R f − R 1 ( R + R f ) − R f R ] R f R [ R 1 ( R + R f ) + R f R ] v i n Substitute R 1 = R + Δ R in above equation

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Chapter 5, Problem 52P

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Find the largest percent change in resistor R.

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Chapter 5, Problem 51P

Chapter 5, Problem 53P

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3-4) 3.4-2 Signals g₁(t) = 104П(104) and g2(t) = 8(t) are applied at the inputs of the ideal low-pass filters H₁(f)=(f/20,000) and H2(f) = П(f/10,000) (Fig. P3.4-2). The outputs y₁ (t) and y2(t) of these filters are multiplied to obtain the signal y(t) = y1 (1)y2(t). (a) Sketch G1(f) and G2(f). (b) Sketch H₁(f) and H₂(f). (c) Sketch Y₁ (f) and Y2(f). (d) Find the bandwidths of y₁ (t), y2(t), and y(t). 8₁ (1) H₁(f) y, (t) y(t) = y₁ (1) y2 (1) 82(1) ½⁄2 (1) H₂(f)

solve the differential equation y'' -2y'-3y=x³e^5x cos(3x) Don't use AI,I need it handwritten

3-3) Similar to Lathi & Ding prob. 3.3-7. The signals in the figure below are modulated signals with carrier cos(5t). Find the Fourier transforms of these signals using the appropriate properties of the Fourier transform and text Table 3.1. The sketch the magnitude and phase spectra for figure parts (a) and (b). Hint: these functions can be expressed in the form g(t) cos(2лfot) (a) 1 1 2π www. σπ (b) (c) όπ

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Electric Circuits, Global Edition

Ch. 5.2 - Assume that the op amp in the circuit shown is...Ch. 5.3 - The source voltage vs in the circuit in Assessment...Ch. 5.4 - Find vo in the circuit shown if va = 0.1 V and vb...Ch. 5.5 - Assume that the op amp in the circuit shown is...Ch. 5.6 - In the difference amplifier shown, vb = 4.0 V....Ch. 5.7 - The inverting amplifier in the circuit shown has...Ch. 5 - Prob. 1P Ch. 5 - Replace the 2 V source in the circuit in Fig. P5.1...Ch. 5 - Find iL (in milliamperes) in the circuit in Fig....Ch. 5 - The op amp in the circuit in Fig. P5.4 is...

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