Resistance, Inductance and Capacitor

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MissP.25_5
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Can some check my answer, please? I only did number 1 because I have no idea how to do number 2.


NOTE: Calculators are not allowed, so no need to give the exact value. For example, if the answer has √2, just leave it as √2, instead of writing it as 1.41...

Power source voltage e(t) = √2*20sin2t [V],
current i(t) = 5sin(2t - ∏/4) [A].

1. Find the values of resistance R, and inductance L.
2. Let V be the phasor of voltage v(t). Find the capacitance value of the capacitor C that maximizes the magnitude of V.
 
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  • Handwritten circuit analysis on lined paper: phasor forms E = 20 and I = 5/√2 (1 - j), Z1 = R + j2L, Z1 = E/I simplified to 2√2 + 2√2 j, leading to R = 2√2 and L = √2.
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  • Japanese textbook problem 3 with a circuit diagram: a voltage source e(t) feeds a capacitor C in parallel with a series branch of inductor L and resistor R, with current i(t) and voltage v(t) marked, and a 25 Ω resistor shown in the lower branch.
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