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Given: V_s = 10 V 0^, R = 10 , L = 10 mH = 0.01 H, C = 1 = 1 x 10⁻⁶ F.

Mathematics

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Here are the solutions for the given RLC circuits.

Circuit 1: Series RLC Circuit
Given: Vs=10 V∠0∘V_s = 10 \, \text{V} \angle 0^\circ, R=10 ΩR = 10 \, \Omega, L=10 mH=0.01 HL = 10 \, \text{mH} = 0.01 \, \text{H}, C=1 μF=1×10−6 FC = 1 \, \mu\text{F} = 1 \times 10^{-6} \, \text{F}.

Step 1: Calculate the resonant frequency ω0\omega_0.

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