Can you help me understand what are they talking about 6.3 THE RLC CIRCUITIn this section we consider the RLC circuit, shown schematically in Figure 6.3.1. As we'll see, the RLCcircuit is an electrical analog of a spring-mass system with damping.Nothing happens while the switch is open (dashed line). When the switch is closed (solid line) we saythat the circuit is closed. Differences in electrical potential in a closed circuit cause current to flow inthe circuit. The battery or generator in Figure 6.3.1 creates a difference in electrical potential E = E(t)between its two terminals, which we've marked arbitrarily as positive and negative. (We could just aswell interchange the markings.) We'll say that E (t) > 0 if the potential at the positive terminal is greaterthan the potential at the negative terminal, E(t) < 0 if the potential at the positive terminal is less thanthe potential at the negative terminal, and E(1) = 0 if the potential is the same at the two terminals. Wecall E the impressed voltage.Resistor(Resistance R)www+Induction Coil(Inductance L)+00000SwitchBattery or Generator(Impressed Voltage E=E(t))Figure 6.3.1 An RLC circuitCapacitor(Capacitance C)At any time 1, the same current flows in all points of the circuit. We denote current by I = 1(t). Wesay that I(1) > 0 if the direction of flow is around the circuit from the positive terminal of the battery orgenerator back to the negative terminal, as indicated by the arrows in Figure 6.3.1 I(t) < 0 if the flow isin the opposite direction, and I(t) = 0 if no current flows at time 1. Differences in potential occur at the resistor, induction coil, and capacitor in Figure 6.3.1. Note that thetwo sides of each of these components are also identified as positive and negative. The voltage drop acrosseach component is defined to be the potential on the positive side of the component minus the potentialon the negative side. This terminology is somewhat misleading, since "drop" suggests a decrease eventhough changes in potential are signed quantities and therefore may be increases. Nevertheless, we'll goalong with tradition and call them voltage drops. The voltage drop across the resistor in Figure 6.3.1 isgiven byVR = IR,(6.3.1)where I is current and R is a positive constant, the resistance of the resistor. The voltage drop across theinduction coil is given byandV₁ = Lwhere L is a positive constant, the inductance of the coil.A capacitor stores electrical charge Q = Q(t), which is related to the current in the circuit by theequationQ(1) = Qo+ f 1(1) dr.where Qo is the charge on the capacitor at t = 0. The voltage drop across a capacitor is given byVc = 2/₁Table 6.3.8. Electrical Units1 volt ===1 ampere =dISymbolEILI',QRLсSection 6.3 The RLC Circuit 291where C is a positive constant, the capacitance of the capacitor.Table 6.3.8 names the units for the quantities that we've discussed. The units are defined so that1 ampere - 1 ohm1 henry - 1 ampere/second1 coulomb/ farad1 coulomb/second.NameImpressed VoltageCurrentChargeResistanceInductanceCapacitance(6.3.2)Unitvoltamperecoulombohmhenryfarad(6.3.3)(6.3.4)

In above circuit there RLC circuit. And there we have to explain the RLC circuit voltage drop.

6.3 THE RLC CIRCUIT In this section we consider the RLC circuit, shown schematically in Figure 6.3.1. As we'll see, the RLC circuit is an electrical analog of a spring-mass system with damping. Nothing happens while the switch is open (dashed line). When the switch is closed (solid line) we say that the circuit is closed. Differences in electrical potential in a closed circuit cause current to flow in the circuit. The battery or generator in Figure 6.3.1 creates a difference in electrical potential E = E(1) between its two terminals, which we've marked arbitrarily as positive and negative. (We could just as well interchange the markings.) We'll say that E (t) > 0 if the potential at the positive terminal is greater than the potential at the negative terminal, E (t) < 0 if the potential at the positive terminal is less than the potential at the negative terminal, and E(t) = 0 if the potential is the same at the two terminals. We call E the impressed voltage. Resistor (Resistance R) www Induction Coil (Inductance L) 00000 Switch Battery or Generator (Impressed Voltage E=E(t)) Figure 6.3.1 An RLC circuit Capacitor (Capacitance C) At any time t, the same current flows in all points of the circuit. We denote current by I = 1(t). We say that I(1) > 0 if the direction of flow is around the circuit from the positive terminal of the battery or generator back to the negative terminal, as indicated by the arrows in Figure 6.3.1 1(t) < 0 if the flow is in the opposite direction, and I(t) = 0 if no current flows at time 1.

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...