1. EENG 2610: Circuit Analysis Class 11: Capacitor and Inductor Combinations RC Operational Amplifier Circuits Oluwayomi Adamo Department of Electrical Engineering College of Engineering, University of North Texas

2. Series Capacitors Since the same current flows in each of the series capacitors, each capacitor gains the same charge in the same time period: The voltage across each capacitor will depend on this charge and the capacitance of the element.

3. Example 6.12: Determine the equivalent capacitance, the initial voltage for the circuit, total energy stored in the circuit.

4. Example 6.13: Two previously uncharged capacitors are connected in series and then charged with a 12 V source. One capacitor is 30 μ F and the other is unknown. If the voltage across the 30 μ F capacitor is 8 V, find the capacitance of the unknown capacitor.

5. Parallel Capacitors

6. Example E6.7: Determine equivalent capacitance at terminals A-B.

7. Series Inductors

8. Parallel Inductors

9. RC Operational Amplifier Circuits - Differentiator General rules for op-amp circuit analysis  Use the ideal op-amp model conditions:  Write nodal equations at the op-amp input terminals

10. RC Operational Amplifier Circuits - Integrator General rules for op-amp circuit analysis  Use the ideal op-amp model conditions:  Write nodal equations at the op-amp input terminals

11. Example 6.17:The waveform below is applied to the input of the differentiator circuit. Determine the waveform at the output of the op-amp.

12. Example 6.18:The waveform below is applied to the input of the integrator circuit. Determine the waveform at the output of the op-amp if the capacitor is initially discharged.