**Series Circuits Explained**

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Children should build the circuits before attempting the worksheet tasks. • Children discuss the series circuit, make their predictions and then test for the number of batteries and lights. • Follow the same procedure for the parallel circuit. • Discuss the difference between the two types of circuits and suggest some ideas which can be listed on the board. Children can now write their answers for Section C. • Some useful websites: Series circuits explained: cipco.apogee.net/foe/fcsps.asp Why it is important to understand: Singlephase series a.c. circuits The analysis of basic a.c. electric circuits containing impedances and ideal a.c. supplies are presented in this chapter. Series circuits containing pure resistance, R, pure inductance,.L, and pure capacitance, C, are initially explained. Then series R–L, R–C and R–L–C series circuits are explored using phasors which greatly simplifies the analysis. When capacitors or inductors are involved in an a.c. circuit, the current Why it is important to understand: Singlephase series a.c. circuits The analysis of basic a.c. electric circuits containing impedances and ideal a.c. supplies are presented in this chapter. Series circuits containing pure resistance, R, pure inductance, L, and pure capacitance, C, are initially explained. Then series R–L, R–C and R–L–C series circuits are explored using phasors which greatly simplifies the analysis. When capacitors or inductors are involved in an a.c. circuit,.the current Why it is important to understand: Singlephase series a.c. circuits The analysis of basic a.c. electric circuits containing impedances and ideal a.c. supplies are presented in this chapter. Series circuits containing pure resistance, R, pure inductance, L, and pure capacitance, C, are initially explained. Then series R–L, R–C and R–L–C series circuits are explored using phasors, which greatly simplifies the analysis. When capacitors or inductors are involved in an a.c. circuit, the current Now, the energy stored increases as the voltage squared, so it does result in more energy stored, but not as much as might be hoped from a simple consideration of Equation (3.13). Another major problem with putting capacitors.in series is that of charge equalisation. In a string of capacitors in series the charge on each one should be the same, as the same current flows through the series circuit. However, the problem is that there will be a certain amount of selfdischarge in each one, (7.2) FIGURE 7.1 The voltage is the same across all elements in a parallel circuit. FIGURE 7.2 The current is the same through all elements in a series circuit. In a series circuit, the total source voltage is the sum of the voltages across each circuit element. The highest voltage will appear across the highest resistance, according to Ohm's Law. The equivalent single resistance seen by the source is always higher than the highest resistance element andis calculated.as: Voltages or So, substituting E and V, we have: IRT = IRl +IR2 +IR3 Since the current is common to each resistance, we can divide throughout by I: Simplifying this equation, we end up with: RT=Rl +R2 +R3 where: RT = total resistance of the circuit. So, for a series circuit, the total resistance is simply the sum of the individual resistances: RT=Rl +R2 + R3 + etc. Summary In a series circuit: • the (remember, in a circuit diagram, '2R' represents '2 Ω', as explained in a previous chapter). Figure 9.19 These chapters also look into safety, design of production, testability, reliability, and thermal management of the designed circuit. This book is of great value to electrical and design engineers. are.introduced, and a series of batteries arranged in multiple between said main conductors and with like poles connected to the same conductors; of an initiatingrelay for each signal, and switches controlled by said initiatingrelays, whereby, upon the approach of the rollingstock to a given signal, the main conductors are broken toward the rear of the train, and the local battery is cut out of the main circuit and thrown into the local signalcircuit. substantially as herein explained.