12_Ch 21 College Physics ProblemCH21 Alternating Current Circuits and Electromagnetic Waves

12_Ch 21 College Physics ProblemCH21 Alternating Current Circuits and Electromagnetic Waves

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212 CHAPTER 21 (b) () ( ) 32 , max max 0.11 A 1.2 10 1.3 10 V R VI R = × = × ∆= ( ) , max max 0.11 A 1.1 1.1 LL X ∆= = × = × (c) When the instantaneous current is a maximum ( ) max iI = , the instantaneous voltage across the resistor is 2 max , ma 0 V RR vi R IRV ∆== = max x 1.3 1 = × . The instantaneous voltage across an inductor is always 90° or a quarter cycle out of phase with the instantaneous current. Thus, when = , 0 L v L v v . Kirchhoff’s loop rule always applies to the instantaneous voltages around a closed path. Thus, for this series circuit, source v R =∆ +∆ and at this instant when max = we have 2 V × max 0 1.3 source vI R ∆= + = 10 (d) When the instantaneous current i is zero, the instantaneous voltage across the resistor is 0 R R . Again, the instantaneous voltage across an inductor is a
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