BME/ISE 3511 Bioelectronics - Test Five Review Notes Fall 2015

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1 BME/ISE 35 Bioelectronics - Test Five Review Notes Fall 205 Test Five Topics: RMS Resistive Power oss (I 2 R) A Reactance, Impedance, Power Factor R ircuit Analysis alculate Series R Impedance alculate Series R Resonance Frequency Determine whether Series R circuit at resonance has maximum or minimum current alculate Parallel R Impedance alculate Parallel R Resonance Frequency Determine whether Parallel R circuit at resonance has maximum or minimum current R Passive Filters Using a schematic of a R or R circuit, determine if the circuit depicts a low pass filter or a high pass filter alculate the time constant alculate the filter s cut-off frequency Sketch the / urve abel both axes, the horizontal asymptote, the cut-off frequency, and the ½ power point Review materials include: Reading Assignments & Homework Problems ourse Notes Review Problems including Reactance & Impedance Quizzes Additional Review Problems (A ircuit Analyses) Additional Review Problems (Reactance, Filters) Reactance & Filter Quizzes See Test Five Review Problems (attached) For the test, you may use: a calculator, two page of YOUR OWN self-generated review notes Note: Phones may NOT be used during the exam; NOT as calculators, NOT as Internet connections, NOT for resource retrieval (i.e., electronic copies of notes, files, tables, etc.), NOT for communications. If the exam proctor suspects the use of a phone during the exam, your test will be confiscated and zero points will be assigned.

2 BME/ISE 35 Bioelectronics - Test Five Review Problems Fall 205 alculate apacitive and Inductive Reactance and omplex Impedance alculate Series & Parallel Equivalent Impedance for Resistors, apacitors, Inductors, Impedances Determine Passive R and R Passive Filter haracteristics. alculate Series & Parallel Impedance Frequency 420 Hz. R Series onfiguration R Parallel onfiguration R 20 Ω R 20 Ω 25 μf 25 μf 50 mh 50 mh Answers: R 20 Ohms 5.2 Ohms 3.9 Ohms R Series onfiguration 20 + j R Parallel onfiguration j For Figure A, calculate the circuit impedance if the excitation frequency is 800 Hz. (Answer: j 6428) 3. For Figure B, calculate the circuit impedance if the excitation frequency is 900 KHz. (Answer: j 4) 4. Sketch R Filter & / urve a. alculate the cut-off frequency (half power point) if R 500 ohms and 0.00 uf. (Answer f Hz) b. alculate the time constant. (Answer t 0.9 msec) c. Sketch the circuit for a R low pass filter d. Sketch the circuit for a R high pass filter 5. Sketch R Filter & / urve a. alculate the cut-off frequency (half power point) if R 500 ohms and 2 H. (Answer f 0 20 Hz) b. alculate the time constant. (Answer t 8 msec) c. Sketch the circuit for a R low pass filter d. Sketch the circuit for a R high pass filter 6. Reactance Quiz 7. omplex Impedance Quiz 8. Passive Filter Recognition Quiz 9. Additional A ircuit Analysis Problems (see page 2)

3 9. Additional A ircuit Analysis Problems

4 Reactance Quiz A & E B & F & G D & H For each of the above configurations for both ω 0 and ω, determine whether or not the resulting circuit appears as either a resistive circuit, a short circuit, or an open circuit. heck the appropriate blank(s). For ω 0 Figure Resistive ircuit Short ircuit Open ircuit A. B.. D. For ω Figure Resistive ircuit Short ircuit Open ircuit E. F. G. H.

5 omplex Impedance Quiz Devise formulas for each of the complex impedance configurations using R,, and. Hint: Impedances in series add, i.e., + 2 Two impedances in parallel equal the product over the sum, i.e A. E. B. F.. G. D. H.

6 Passive Filter Quick Recognition Quiz For each of the four schematics, indicate whether or not the configuration represents a ow Pass Filter or a High Pass Filter. Hint: onsider the reactance when ω 0. 0 V 0 V R >> 0 V V R 0 If, then since ω 0, passes low frequencies, hence ow Pass Filter. If 0, then since ω 0, blocks low frequencies, hence passes only high frequencies, i.e., High Pass Filter. Similarly: onsider the reactance when ω >> 0. >> 0 V V R 0 0 V 0 V R If, then since ω >> 0, passes high frequencies, hence High Pass Filter. If 0, then since ω >> 0, blocks high frequencies, hence passes only low frequencies, i.e., ow Pass Filter. A. B.. D. A. B.. D.

7 BME/ISE 35 Bioelectronics - Test Five Review Quizzes Answer Sheet Fall 205 R & R harging and Discharging urves Reactance Quiz A. Resistive B. Short ircuit. Short ircuit D. Short ircuit E. Short ircuit F. Resistive G. Short ircuit H. Short ircuit omplex Impedance Quiz A. R + B. + R +. R + R R + + D. R + + E. R ( R + + ) + F. R + ( R + ) + G. R + ( R + ) + H. R R R + R R R + R + Passive Filter Quiz A. ow Pass B. High Pass. High Pass D. ow Pass

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