Electrical and Computer Engineering Homework Solutions

Use Impedance to Find Amplitude and Phase

Use impedances to predict the amplitude and phase of VR as a function of frequency VR(t) = ? {see attachment for circuit diagram}

Mesh Current

Referring to the attached diagram: Determine the mesh current ia in the circuit shown. My Answer: Mesh1=(-12V)+4V+(250+75=25)*ia+100(1a-1b)=0 Mesh2=(-12V)+4V+(100+100+200)ib+100*(ib-ia)=0 Solve for mesh 1: 2V+350*ia+100*ia-100ib=0 2V+45deg(ia)-100*ib=0 Solve for mesh 2: -4V+400*ib+100*ib-100*ia -4V+500*ib-100*ia ...continues

Capacitor

A capacitor is used in the electronic flash unit of a camera. A small battery with a constant voltage of 6 V is used to charge the capacitor with a constant current of 10 microamperes. How long does it take to charge the capacitor when C = 10 microfarads? My Answer: V=6V i=10mA C=10microF Wc=1/2CV^2*(t) Wc=1/2(10^-5)6^2*(t ...continues

Angles - Check Work

Determine a when (6angle(120deg))*(-4 + j3 + 2*exp(j *15) ) = a + jb. Note: angles are in degrees. My Answer: 6(angle)120deg*(-4+j3+2e^j15)=a+jb 2e^j15=2*(cos15deg+jsin15deg) 6(angle)120deg*(-4+j3+1.93+j.5176) 6*(-2.07+j3.52)= 12.42+j21.12 Final answer: a=(-12.42) Determine b My Answer: B=21.12

Inductance - Check Answer

Find the value of the inductance L shown in the attached diagram. My Answer: V=L*d(i)/d(t) L=V/d(i)/d(t) V=25cos250t I=14sin250tmA d(i)=14cos250t L1=(25cos250t)/(14cos250t)=25/14=1.7857 Lt=2L+2L+L^2/2L= 2L+2L+1/2L=4.5L Lt=1.765*(2L+2L+L+L)= 1.765*6L=10.71 L=10.71/4.5=2.38 Final answer: 2.38

Coservation of Energy - Check Work

Please refer to the diagram in the attachment. The Problem: Conservation of energy requires that the sum of the power absorbed by all of the elements in a circuit be zero. The following Figure shows a circuit. All of the element voltages and currents are specified. Are these voltages and currents correct? Hint: Calculate the ...continues

Voltage Divider Principle

The circuit shown in the attachment was built in the lab and v0 was measured to be 6.25 V. Verify this measurement using the voltage divider principle. My Answer: Vo=320Ohms/(650Ohms+320Ohms+230Ohms)*24V=6.4V

Circuit Analysis Problem 1

I ask that you refer to the diagram in the attachment. This problem is in three parts. I have shown the work that I performed to complete this. Are the answers correct? If not what are the correct answers? The circuit shown in the figure has both independant and dependant sources. Determine the node voltages V1. Please s ...continues

Linear Circuit Problem 2

Please refer to the attachment. I have provided a diagram and the question. I gave my answer and provided the method I used to solve the problem. Did I do this correctly and if not what did I do wrong. Please let me know the correct method I should use to get the correct answer. In the RLC circuit shown in the figure, use pha ...continues

Circuit Analysis Problem 3

Please refer to the diagram in the attachment. There is a question in two parts. Please check my work for both questions and show any mistakes made and let me know the correct method for solving this problem. Question One: Find ix if vs(t)=90u(t)V and is(t)=6u(t)A... Please see attached.

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