Electrical and Computer Engineering Homework Solutions

Capacitor- Underdamped or Overdamped

For the circuit, determine if it is underdamped or overdamped. Find also the capacitor value that results in critical damping. (See attachment for diagram)

determine voltage for capacitor

please see the attached

Ideal voltage sources

I am attaching a scanned image of a circuit problem, please answer and show the method used in determining the answer.

Fourier Series

Compute the Fourier series coefficient of the periodic function shown in the attached figure and defined as {see attachment}. Thank you!

Input Impedance

See attachment for diagram. a.) Determine how the input impedance Z (jw) = Vi (jw) / Ii (jw) behaves at extremely high or low frequencies.

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

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