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.
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 6.8 8.5 @ 80.3 R Parallel onfiguration 8.46 - j 9.88 3. @ -49.4 2. For Figure A, calculate the circuit impedance if the excitation frequency is 800 Hz. (Answer: 300 + j 6428) 3. For Figure B, calculate the circuit impedance if the excitation frequency is 900 KHz. (Answer: 3000 + 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 0 060 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)
9. Additional A ircuit Analysis Problems
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.
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. 2 + 2 A. E. B. F.. G. D. H.
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.
BME/ISE 35 Bioelectronics - Test Five Review Quizzes Answer Sheet Fall 205 R & R harging and Discharging urves http://hades.mech.northwestern.edu/index.php/r_and_r_exponential_responses 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