For a linear system, we are given two input-output pairs as follows: ● for input x₁(t) = [[0,1](t), the output y₁(t) = (1 − |t|) I[−1,1](t). ● for input x₂(t) = 21[0,2], the output y₂(t) = 2(1 + t)I{−1,1) (t) + 4(2 − t)I[1,2] (t). (a) Sketch the signals x₁, Y₁, x2, Y2. (b) True or False From the information given, we can infer the output y³(t) corresponding to the input x3(t) = −I(1,2] (t). Justify your answer. And if True, find and sketch the signal y3. (c) From the information given, can you infer whether or not the system is time-invariant? Justify your answer.

For a linear system, we are given two input-output pairs as follows: ● for input x₁(t) = [[0,1](t), the output y₁(t) = (1 − |t|) I[−1,1](t). ● for input x₂(t) = 21[0,2], the output y₂(t) = 2(1 + t)I{−1,1) (t) + 4(2 − t)I[1,2] (t). (a) Sketch the signals x₁, Y₁, x2, Y2. (b) True or False From the information given, we can infer the output y³(t) corresponding to the input x3(t) = −I(1,2] (t). Justify your answer. And if True, find and sketch the signal y3. (c) From the information given, can you infer whether or not the system is time-invariant? Justify your answer.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

What causes transients? Select one or more: a. Energy is stored into capacitance and inductance b. Power required for transporting energy can be infinite c. The power required for transporting energy cannot be infinite Od. Energy is stored into resistance and capacitance e. Energy is stored into resistance, capacitance and inductance
1
Identify the characteristics of AC and DC voltage. Runs at a higher temperature Answer 1Choose...DCAC More dangerous to transfer Answer 2Choose...DCAC Easy to produce Answer 3Choose...DCAC Easier to transform voltages Answer 4Choose...DCAC Voltage remains at a constant value Answer 5Choose...DCAC Cheaper to produce
12 - How to calculate the impedance of a coil?A) It is the difference between ohmic resistance and inductive resistance.B) It is the ratio of ohmic resistance to inductive resistance.C) It is the vectorial sum of ohmic and inductive resistance.D) It is the algebraic sum of ohmic and inductive resistance.E) It is the ratio of inductive resistance to ohmic resistance.
THE POLARITY MARKINGS ON TWO WINDINGS MUST BE DETERMINED EXPERIMENTALLY. THE DEVICE FOR SUCH DETERMINATION IS SHOWN IN THE FIGURE BELOW. THAT THE TERMINAL CONNECTED TO THE POSITIVE TERMINAL OF THE BATTERY RESERVES THE POLARITY MARKING AS SHOWN IN THE FIGURE. WHEN THE SWITCH IS OPEN, THE DC VOLTMETER UNDERGOES A NEGATIVE DEFLECTION. WHERE ON THE CONNECTED WINDING SHOULD A POLARITY MARKING BE ATTACHED TO THE VOLTMETER? t = 0 R )cc VOLTIMETER VB- CHOOSE AN OPTION BELOW: A. POINT AT THE LOWER END OF THE INDUCTOR B. POINT AT THE TOP END OF THE INDUCTOR C. NONE OF THE OPTIONS D. A DOT AT THE TOP END AND BOTTOM END C E. THERE IS NO COUPLING BETWEEN THE INDUCTORS, SO IT IS NOT NECESSARY TO PLACE A DOT
A series circuit contains a resistor and a capacitor as shown in Figure 1. Suppose the capacitor in the circuit initially has zero charge and that there is no initial current. When the switch is at position B, the 10 Volt power supply energized the capacitor through the 250 № resistor, until fully charged, thus producing an output voltage E. At time t=2 seconds, the switch is thrown from position B to A, held there for 1 second, then switch back to B. (c) 10 V (d) 250 92 B Figure 1 10.³F (a) Write the differential equation for the charge q(t) of the circuit. (b) Given the forcing function is zero until t = 2, then has value 10 volts until t = 3, then is zero again, express E(t) in terms of unit step function and sketch the function E(t). Egut Find the charge on the capacitor using part (a) and (b). Use the Laplace transform method. What is the output voltage E(t) on the capacitor?
by High Voltage
An inductance of 2 henrys and a resistance of 10 ohms are connected in series with an emf of E volts. If the current is initially zero, find the current at the end of 0.5 second when (a) E=120 volts, and (b) E=120 sin⁡6t volts.
C2 6. Figure shows a series resistance-capacitance bridge to R1 measure the capacitor, C3 and its leakage resistance of R3. The variable capacitor, C2 and resistor, R2 is adjusted alternately to null the bridge. The values of the resistors are RA given as R1 = 22 kN and R4 = 8 kN. The power supply frequency is 120 Hz. (i) Derive the equations for C3 and R3. (ii) Calculate the values of capacitor, C3 and resistor, R3 if the bridge is balanced when C2 = 4.7 µF and R2 = 150 2. [Module Test 2, March 2021] (ii) R3 = 54.55 , C3= 12.93 µF) R4 (Answer: (i) R3 = R2R4 C3 = R,C2 R1
Explain Circuits with Resistance and Capacitance?
plzz solve subject:renewable energy systems
1. Passive voltage response to injected current step is not instantaneous, why not? Key words: time constant, resistance/capacitance properties