Aside from the typical RLC circuit arranged in series, there exist that arranged in parallelas well (see Figure 3). In this configuration, the instantaneous voltages (and rms voltages)across cach of the three circuit elements are the same, and cach is in phase with the currentin the resistor. The currents in C and L lead or lag the current in the resistor as shown inthe phasor diagram (Figure 3b). By taking the instantaneous voltage across the AC sourceto be v(t) =V sin er and the instantaneous current provided by the AC source to bei(r) =, sin (er - ø). where V, and are the voltage and current amplitudesrespectively,(a)(b)AVAVR.gure 3: (a) RLC circuit in parallel configuration and (b) phasor diagram for the RLC circuit.(a). Write the instantaneous currents across the three circuit elements in terms ofangular frequency o, inductance L, and capacitance C.(b). Relate for the ratio of the rms voltage and current towards the ratio of the amplitudevoltage and current.(c). By using part (a) and (b), as well as the phasor diagram as guides, show that the rmscurrent delivered by the source ismeol(d). By using part (a) and (b), as well as the phasor diagram as a guide, show that the phaseangle ø between V. and is given bytan RXe X

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Aside trom the typical KLC circuit arranged in senes, there exist that arranged in parallel as well (see Figure 3). In this configuration, the instantaneous voltages (and rms voltages) across each of the three circuit elements are the same, and each is in phase with the current in the resistor. The currents in C andL lead or lag the current in the resistor as shown in the phasor diagram (Figure 3b). By taking the instantaneous voltage across the AC source to be r(t)=F sin et and the instantaneous current provided by the AC source to be (1) -1 sin(or -6) . where V, and are the voltage and current amplitudes respectively, (a) (b) AV R gure 3: (a) RLC circuit in parallel configuration and (b) phasor diagram for the RLC circuit. (a). Write the instantaneous currents across the three circuit elements in terms of angular frequency o, inductance L, and capacitance C. (b). Relate for the ratio of the ms voltage and current towards the ratio of the amplitude voltage and current. (e). By using part (a) and (b), as well as the phasor diagram as guides, show that the ms current delivered by the source is

Aside trom the typical KLC circuit arranged in senes, there exist that arranged in parallel as well (see Figure 3). In this configuration, the instantaneous voltages (and rms voltages) across each of the three circuit elements are the same, and each is in phase with the current in the resistor. The currents in C andL lead or lag the current in the resistor as shown in the phasor diagram (Figure 3b). By taking the instantaneous voltage across the AC source to be r(t)=F sin et and the instantaneous current provided by the AC source to be (1) -1 sin(or -6) . where V, and are the voltage and current amplitudes respectively, (a) (b) AV R gure 3: (a) RLC circuit in parallel configuration and (b) phasor diagram for the RLC circuit. (a). Write the instantaneous currents across the three circuit elements in terms of angular frequency o, inductance L, and capacitance C. (b). Relate for the ratio of the ms voltage and current towards the ratio of the amplitude voltage and current. (e). By using part (a) and (b), as well as the phasor diagram as guides, show that the ms current delivered by the source is

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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