10_Chapter 21 HomeworkCH21 Alternating Current Circuits and Electromagnetic Waves

10_Chapter 21 HomeworkCH21 Alternating Current Circuits and Electromagnetic Waves

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210 CHAPTER 21 21.21 (a) () ( ) 3 2 2 240 Hz 2.5 H 3.8 10 L L ππ == = × Xf 3 × 6 11 2.7 2 2 240 Hz 0.25 10 F C X fC π = × 2 1.4 k  = Ω  2 2 2 3 900 3.8 2.7 10 LC ZRXX =+− = + −× (b) max max 3 140 V 0.10 A 1.4 V Z = ×Ω I (c) ( ) 3 3.8 2.7 tan tan 51 900 XX R −− −×Ω     φ = ° (d) 0 > , so the voltage leads the current 21.22 3 6 1.1 2 26 0 H z2 . 51 0 F C X fC = × × ( ) 22 2 23 3 1.2 0 1.1 1.6 10 = +− = + 3 (a) max max 3 170 V 0.11 A 1.6 V Z = I (b) ( ) 32 , max max 0.11 A 1.2 1.3 10 V R VI R = × = × ∆= ( ) , max max 0.11 A 1.1 1.1 CC X ∆= = × = × (c) When the instantaneous current i is zero, the instantaneous voltage across the resistor is 0 R vi R ∆== . The instantaneous voltage across a capacitor is always 90° or a quarter cycle out of phase with the instantaneous current. Thus, when
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