Second Order Circuits: Difference between revisions
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'''Second order circuits''' are circuits that have two energy storage elements, resulting in second-order differential equations. | '''Second order circuits''' are circuits that have two energy storage elements, resulting in second-order differential equations. | ||
There are primarily two types: | One application of second order circuits is in timing computers. As we will see, an RLC circuit can generate a sinusoidal wave. | ||
There are primarily two types of second order circuits: | |||
* Parallel RLC circuits | * Parallel RLC circuits |
Revision as of 06:55, 8 March 2024
Second order circuits are circuits that have two energy storage elements, resulting in second-order differential equations.
One application of second order circuits is in timing computers. As we will see, an RLC circuit can generate a sinusoidal wave.
There are primarily two types of second order circuits:
- Parallel RLC circuits
- Series RLC circuits
Series RLC Circuits
Unforced
Consider an un-forced RLC circuit. We want to find .
First, we can use KVL and KCL
Next, we can use and substitution to get
Changing the order and moving the constants,
Moving constants away from the first term to get a second-order differential equation,