# Circuit Theory/Laplace Circuit Solution

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## Laplace Circuit Solution[edit | edit source]

One of the most important uses of the Laplace transform is to solve linear differential equations, just like the type of equations that represent our first- and second-order circuits. This page will discuss the use of the Laplace Transform to find the complete response of a circuit.

## Steps[edit | edit source]

Here are the general steps for solving a circuit using the Laplace Transform:

- Determine the differential equation for the circuit.
- Use the Laplace Transform on the differential equation.
- Solve for the unknown variable in the laplace domain.
- Use the inverse laplace transform to find the time domain solution.

Another method that we can use is:

- Transform the individual circuit components into impedance values using the Laplace Transform.
- Find the Transfer function that describes the circuit
- Solve for the unknown variable in the laplace domain.
- Use the inverse laplace transform to find the time domain solution.