10_Ch 21 College Physics ProblemCH21 Alternating Current Circuits and Electromagnetic Waves

# 10_Ch 21 College Physics ProblemCH21 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 π π = = = × X f ( ) ( ) 3 10 × 6 1 1 2.7 2 2 240 Hz 0.25 10 F C X f C π π = = = × ( ) ( ) ( ) 2 1.4 k = 2 2 2 3 900 3.8 2.7 10 L C Z R X X = + = + × (b) max max 3 140 V 0.10 A 1.4 10 V Z = × I = = (c) ( ) 3 1 1 3.8 2.7 10 tan tan 51 900 L C X X R × φ = = = ° (d) 0 φ > , so the voltage leads the current 21.22 ( ) ( ) 3 6 1 1 1.1 10 2 2 60 Hz 2.5 10 F C X fC π π = = = × × ( ) ( ) ( ) 2 2 2 2 3 3 1.2 10 0 1.1 10 1.6 10 L C Z R X X = + = × + × = × 3 (a) max max 3 170 V 0.11 A 1.6 10 V Z = × I = = (b) ( ) ( ) 3 2 , max max 0.11 A 1.2 10 1.3 10 V R V I R = × Ω = × ( ) = ( ) 3 2 , max max 0.11 A 1.1 10 1.1 10 V C C V I X = = × Ω = × (c) When the instantaneous current i is zero, the instantaneous voltage across the resistor is 0 R v iR = = . The instantaneous voltage across a capacitor is always 90°
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