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ECE 3144 Lecture 28

ECE 3144 Lecture 28. Dr. Rose Q. Hu Electrical and Computer Engineering Department Mississippi State University. Reminder from Lecture 27. Capacitors in series Capacitors in parallel Inductors in series Inductors in parallel. and. and. KCL and KVL for RCL circuits.

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ECE 3144 Lecture 28

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  1. ECE 3144 Lecture 28 Dr. Rose Q. Hu Electrical and Computer Engineering Department Mississippi State University

  2. Reminder from Lecture 27 • Capacitors in series • Capacitors in parallel • Inductors in series • Inductors in parallel and and

  3. KCL and KVL for RCL circuits • Nodal analysis by using KCL and mesh analysis by using KVL can also be applied to circuits containing capacitors and inductors. • The resulting equations for RCL circuits usually are integro-differential equations. • Now we try to gain familiarity with the use of KCL and KVL in RCL circuits.How to solve these equations will be introduced in the next chapter

  4. Example • An example on RCL circuit analysis will be provided in class.

  5. RC operational amplifier: differentiator Consider the circuit given, the node equation is For ideal opamp, we know that v- = v+ =0 and i-= 0 Thus the above equation becomes: Thus the output for the op-amp circuit given is proportional to the derivative of the input voltage source,

  6. RC operational amplifier: integrator The node equation for the given opamp circuit is For ideal opamp, we know that v- = v+ =0 and i-= 0. The original equation reduces to If a capacitor is initially discharged, then vo(0) = 0. Hence,

  7. Homework for lecture 28 • Problems 5.64, 5.65 • Due March 27

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