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Understanding Inductance and RL Circuits for Energy Storage

Learn about inductors applying Faraday's Law, forming RL circuits with batteries and resistors. Analyze energy storage in terms of magnetic and electric fields.

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Understanding Inductance and RL Circuits for Energy Storage

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  1. Lecture 31 Inductance Consider the application of Faraday S Law to a single loop.

  2. Solenoids are referred to as inductors. It in series with a battery and a resistor forms a simple RL circuit.

  3. Analogous to RC case: Notice the derivative of the loop equation gives: Rearrangement gives:

  4. For decay case: Here, the battery is removed. Loop Equation:

  5. Energy Stored in C and L Express Energy Stored in terms of B

  6. Energy Density magnetic electric

  7. A B C D Left Diagram:

  8. Right Diagram: Loop A3B4A: Loop C(wire)D4C:

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