Recall that we used this idea earlier to calculate the DC voltage at the output

# Recall that we used this idea earlier to calculate

This preview shows page 22 - 27 out of 27 pages.

Recall that we used this idea earlier to calculate the DC voltage at the output. At high frequencies (F large), V out = V in
23 M. Horowitz, J. Plummer, R. Howe Frequency Dependence of RC Circuit v in v out R C F V out /V in FRC j FRC j V V in out p p 2 * 1 2 * + = This circuit passes high frequencies but blocks low frequencies. Sometimes called a “high pass filter”.
24 M. Horowitz, J. Plummer, R. Howe Analyzing RC Circuits Using Impedance (High Pass Filter) v in v out C=0.1 μ F FRC j FRC j FC j R R V V in out p p p 2 * 1 2 * 2 * 1 + = + = RC = 11ms; 2 p RC about 70ms 0 0.2 0.4 0.6 0.8 1 0 50 100 150 200 V out /V in F (Hz) R=11 k W
25 M. Horowitz, J. Plummer, R. Howe Impedance of Other RC Circuits Series : Z eq = Z 1 + Z 2 = R 1 + R 2 R 1 R 2 R 1 R 2 C 2 C 1 C 2 C 1 Parallel: Z eq = 1 1 Z 1 + 1 Z 2 = R 1 R 2 R 1 + R 2 Series : Z eq = Z 1 + Z 2 = 1 j 2 π FC 1 + 1 j 2 π FC 2 = 1 j 2 π F 1 C 1 + 1 C 2 = 1 j 2 π F C 1 C 2 C 1 + C 2 Parallel: Z eq = 1 1 Z 1 + 1 Z 2 = 1 j 2 π FC 1 + j 2 π FC 1 = 1 j 2 π F C 1 + C 2 ( )
26 M. Horowitz, J. Plummer, R. Howe Impedance of Other RC Circuits Series : Z eq = Z 1 + Z 2 = R + 1 j 2 π FC = 1 + j 2 π FRC j 2 π FC R R C C Parallel: Z eq = 1 1 Z 1 + 1 Z 2 = 1 1 R + j 2 π FC = R 1 + j 2 π FRC Check limits on these expressions!
27 M. Horowitz, J. Plummer, R. Howe Learning Objectives for Today Generalize RC circuit analysis in the time domain Impedance is the relationship between voltage and current For a sinusoidal input Z = V/I so for a capacitor, Z = 1/2πFC or 1/j*2πFC Understand how to use impedance to analyze RC circuits Compute the “voltage divider” ratio to find output voltage Calculate series and parallel effective impedances

#### You've reached the end of your free preview.

Want to read all 27 pages?

• Spring '20
• Inductor, RC circuit, Electrical impedance

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern