Question 1 Consider the RLC circuit in Figure 1 where iR is the current through the resistor R, IL is the current throug

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Question 1 Consider The Rlc Circuit In Figure 1 Where Ir Is The Current Through The Resistor R Il Is The Current Throug 1 (137.32 KiB) Viewed 44 times

Question 1 Consider the RLC circuit in Figure 1 where iR is the current through the resistor R, IL is the current through the resistor L, V₂ is the voltage measured across the capacitor C. Determine the total impedance for an input v1(t) in the variable s. R ww Wn. L allo Figure 1: RLC Circuit V2 b. Determine the transfer function V₂(s)/₁(s), in Figure 1. c. Assume R = 502, L = 100 µH and C=10 µF. Express the transfer function V2(s)/V1(s) from (b) under the standard form (characteristic equation: s²+ 23wns+wn²). Then, determine the damping factor and the natural frequency d. Determine the frequency response for the transfer function V₂(jw)/ V₁(jw) in the electrical circuit shown in Figure 1. Then, determine the gain and the phase shift of this circuit at w = 20 rads/sec. Use the values for R, L, and C as assumed in Q1, i.e. R = 5, L = 100µH and C=10 μF