Circuits Homework Help

EECE205-Linear Circuits II w/Lab 1. Via the convolution integral, determine the output vo(t) = h(t) * u(t), where (a) vi(t) = u(t+2) - u(t− 2) = h(t). Also, sketch the output in time domain. (b) vi(t) = 3u(t - 2) and h(t) is the impulse response of the circuit shown in Fig. 1 - {pl = and h(t) is the impulse response of the circuit shown in Fig. 1 (c) vi(t) 4 exp(-2t+8) Vi 0≤t≤4 4 ≤t otherwise 50 mH 5 1.2 ΚΩ Figure 1: Circuit for Question 1 Vo Summer 2023

For a pair of coils with self-inductances, 4 mH and 16 mH, calculate the strength of coupling if the mutual inductance is 2 mH.

4. In the circuits below, indicate for each bulb whether the bulb will be o or off. Experimentally check these circuits if you are not sure of your answer.

2. Are lights and electrical appliances in homes wired in series or parallel? How do you know?

Electrical Current Checking for Understanding 1. Design an alarm system that would alert you if somebody stepped on your front door mat. The warning should consist of a light turning on and a buzzer going off. (Note: you can buy a buzzer that will work with a single D-cell battery. You connect the buzzer like you connect a light bulb.) Describe how you alarm system works, and draw the electric circuit associated with it. Use D-cell batteries to power your system.

For the circuit shown in Figure 1: a. Calculate the equivalent resistance, Req. b. If a 5 A ideal current source is connected to the terminals on the left, what will the voltage difference be across the source? c. If a 5 V ideal voltage source is connected to the terminals on the left, what current will flow through the source? d. If a 5 V ideal voltage source is connected to the terminals on the left, what is the total power that will be dissipated by all resistors in the circuit?

Problem 3 (20 points) Use source transformation to find the value of V, in the circuit below.

Question 4 What kind of filter does this circuit represent? R₁ = 402; R₂ = 3 km; C = 1.5 nF; L = 15 mH Q 5 Calculate the logarithm of the magnitude of the sinusoidal transfer function 20log|G(jw) for the following given values. R₁ = 44 S2 R2 = 3 ΚΩ L = 11 mH C = 2.4 nF w= 4 x106

b) Consider the circuit shown in figure below. The switch has been in position A for a long time before moving instantaneously to position B at time t = 0 seconds. i What is the value of v(0) 2 III. What is the value of i(0) 2 III. What is the value of i, (0) ? iv. What is the value of ₂ (0+)₂ V. What is the value of i, (0*) ? vi. What is the value of i(0*) ? vii. What is the value of v. (∞) ? VIII. What is the value of i(0) ? ix Use Kirchoff's Voltage Law to derive differential equation for the circuit when the switch is in position B. x Show that v₂(t)=100-e derived in part (ix).

Singularity functions 1. Write equations for the following functions: ult) [v tv 6) DEV 2 کے لa ) 2 1 2 Cl4) [A] ا 2 2) Calculate: 1 3 a) Jult-3dd ) * Sult-spla -۶ tts] t[s] 3) Calculate: ) [ ult) afn (44) a) d dt 1 2 3 4 5 6 10 c) (sin(3t) 5lt) dt - 10 10 d). (sin(st) ulticht. -10 "t[s]