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I have a circuit with a 10Ω resistor that separates into a parallel circuit after the resistor

/in /by

I have a circuit with a 10Ω resistor that separates into a parallel circuit after the resistor. In one branch is

a 1mH inductor and in the other is a .1uF capacitor. What is the total inductance of the circuit expressed in Laplace domain as a ratio of two polynomials in s, with the coefficients of the highest power.

 
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