A Second Thought on RLC Circuit - A Second Thought on RLC...

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A Second Thought on RLC Circuit F0403028 5040309796 There are two common configurations of RLC circuits: series and parallel. Series RLC Circuit For a time-changing voltage V(t) , we get Rearranging the equation will result in the following second order differential equation: There are three possible cases: Over damping - 1 -
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In this case, the characteristic polynomial's solutions are both negative real numbers. This is called "over damping": Two negative real roots, the solutions are: Critical damping In this case, the characteristic polynomial's solutions are identical negative real numbers. This is called "critical damping": The two roots are identical (λ 1 = λ 2 = λ), the solutions are: I ( t ) = ( a + bt ) e λ t - 2 -
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Under damping In this case, the characteristic polynomial's solutions are complex conjugate and have negative real part. This is called "under damping": Two conjugate roots ( ), the solutions are: Sinusoidal steady state analysis The series RLC can be analyzed in the frequency domain using
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A Second Thought on RLC Circuit - A Second Thought on RLC...

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