(c) The total voltage across the cir-cuit is given by v(t) = vr(t) +vL(t).Write v(t) in the form v(t) =M cos(120nt +0), in other words,find M and 0. 6-20. A series RL circuit is subjected toa sinusoidal voltage of frequency120 Trad/s, as shown in Fig. P6.20. Thecurrent i(t) = 10 cos(120 nt) A is flow-ing through the circuit. The voltageacross the resistor and inductor aregiven by vr(t) = 10 cos(120 nt) andVL(t) = 12 cos (120 nt+) volts, wheret is in seconds.v(1)i(t)R = 192, L =10ellele mumHR VR (1)L VL (1)Figure P6.20 A series RL circuit for problem P6-20.(a) Write down the amplitude, fre-quency (in Hz), period (in seconds),phase shift (in degrees), and timeshift (in seconds) of the voltageVL (1).(b) Plot one cycle of the voltage v₁ (t),and indicate the earliest time aftert = 0 when the voltage is maximum.

Answered: Image /qna-images/answer/1c1aaf88-da41-4835-b8b2-2a2b4e7c8a31.jpg

6-20. A series RL circuit is subjected to a sinusoidal voltage of frequency 120 Trad/s, as shown in Fig. P6.20. The current i(t) = 10 cos(120 rt) A is flow- ing through the circuit. The voltage across the resistor and inductor are given by vR(t) = 10 cos(120 nt) and VL(t) = 12 cos (120 at + volts, where t is in seconds. v(1) i(t) R = 19, L = 10 ww voo R VR (1) ge mH L VL (1) Figure P6.20 A series RL circuit for problem P6-20. (a) Write down the amplitude, fre- quency (in Hz), period (in seconds), phase shift (in degrees), and time shift (in seconds) of the voltage VL(t). (b) Plot one cycle of the voltage v₁ (t), and indicate the earliest time after t = 0 when the voltage is maximum.

6-20. A series RL circuit is subjected to a sinusoidal voltage of frequency 120 Trad/s, as shown in Fig. P6.20. The current i(t) = 10 cos(120 rt) A is flow- ing through the circuit. The voltage across the resistor and inductor are given by vR(t) = 10 cos(120 nt) and VL(t) = 12 cos (120 at + volts, where t is in seconds. v(1) i(t) R = 19, L = 10 ww voo R VR (1) ge mH L VL (1) Figure P6.20 A series RL circuit for problem P6-20. (a) Write down the amplitude, fre- quency (in Hz), period (in seconds), phase shift (in degrees), and time shift (in seconds) of the voltage VL(t). (b) Plot one cycle of the voltage v₁ (t), and indicate the earliest time after t = 0 when the voltage is maximum.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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