Capacitors in Circuits

 

Energy and Power in a Circuit

Electrical power of batteries, resistors, and capacitors; energy balance in a circuit.

  • 8.02 Physics II: Electricity and Magnetism, Spring 2007
    Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

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RC Circuits

  • 8.02 Physics II: Electricity and Magnetism, Spring 2007
    Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

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Charging and discharging capacitors; charge as a function of time; time constants and exponential decay.

Finds charge, current and voltage during charging and discharging of a capacitor by applying Kirchhoff's loop rule; also discusses the time constant.

Charging and discharging capacitors; differential equation and solution; time constant; examples.

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Equivalent Capacitance in Series and Parallel

Capacitors in series and parallel circuits; calculating equivalent capacitance.

  • 8.02 Physics II: Electricity and Magnetism, Spring 2007
    Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

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Charging and Discharging a Capacitor

Find the current and charge as a function of time in a two-loop RC circuit with a switch, as a capacitor is charged and discharged. Solution is included after problem.

  • 8.02 Physics II: Electricity and Magnetism, Spring 2007
    Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

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Charging Capacitor in a Multiloop Circuit

Find the currents in a multiloop RC circuit after the circuit is closed and determine the final charge on the capacitor.

  • 8.02 Physics II: Electricity and Magnetism, Spring 2007
    Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

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Multiloop Circuit with a Capacitor

A long time after a switch is closed, what is the current through a multiloop RC circuit.

  • 8.02 Physics II: Electricity and Magnetism, Spring 2007
    Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

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Two-Loop RC Circuit

Find the initial current through a resistor and capacitor in a two-loop RC circuit.

  • 8.02 Physics II: Electricity and Magnetism, Spring 2007
    Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

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Combination of Capacitors

Find the equivalent capacitance and the charges on each capacitor for a combination of capacitors in different switch configurations.

  • 8.02 Physics II: Electricity and Magnetism, Spring 2007
    Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

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Conceptual Questions about DC and RC Circuits

Conceptual questions about equivalent resistance, charge in an RC circuit, and potential across a battery.

  • 8.02 Physics II: Electricity and Magnetism, Spring 2007
    Prof. John Belcher, Dr. Peter Dourmashkin, Prof. Robert Redwine, Prof. Bruce Knuteson, Prof. Gunther Roland, Prof. Bolek Wyslouch, Dr. Brian Wecht, Prof. Eric Katsavounidis, Prof. Robert Simcoe, Prof. Joseph Formaggio, Andy Neely, Matthew Strafuss, Prof. Eric Hudson, Dr. Sen-Ben Liao

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Charging a Capacitor

Finding charge as a function of time, as well as maximum power delivered.

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Energy and Dielectrics

Stored energy and potential difference after inserting a dielectric.

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Connecting a Circuit

6-part problem; potentials of capacitor plates and voltages in circuit before and after connection; doubled capacitor distance.

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Field of a Charging Capacitor

Calculating rate of change of E-field, and B-field of charging capacitor.

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