Parrellel Circuit

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Parrellel Circuit

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E R R 1 R 2 R 4 R 3 Figure 51 A seriesparallel circuit. OBJECTIVES After studying this unit, the student should be able to • explain the characteristics of seriesparallel circuits. • demonstrate a procedure for solving problems involving seriesparallel circuits. Combining series and parallel circuits is often necessary to meet electrical requirements and to group devices in a load circuit to obtain a particular value of resistance. Grouping devices in seriesparallel circuits is also necessary If you go back to any of the parallel circuits that we have wired up, one thing should have been obvious. Each load in parallel had full voltage applied to it. The explanation of this is simple and involves the principles diagrammed in Figure

4..Notice that all loads have their own path back to the battery. The voltage does not divide in a parallel circuit. As long as the main conductors can handle the total current flow that all loads demand, a parallel circuit will apply full voltage to all legs.In steppingstone fashion, the discussion of series DC circuits will now be followed by a consideration of the characteristics of parallel DC circuits. It will be shown how the principles applied to series circuits can be used to determine the reactions of such quantities as voltage, current, and resistance in parallel circuits. Problems involving the determination of resistance, voltage, current, and power in a parallel circuit are solved as simply as in a series circuit. The

procedure.is the same In the normal circuit, the bulb drops 1 2 volts. However, in the circuit with the added resistance, 3 volts will be dropped by the bad connection, and the bulb will drop the remaining 9 volts. The way resistance affects a circuit depends on the placement of the resistance in the circuit. If the resistances (wanted or unwanted) are placed directly into the circuit, the resistances are said to be in series. If a resistor is placed so that it allows an altemative path for current, it is a parallel resistor.Along with this problemsolving procedure, it is also important to remember and apply the rules for solving parallel DC circuits: • The same voltage exists across each branch of a parallel circuit and is equal to

the.source voltage. • The current through a branch of a parallel network is inversely proportional to the amount of resistance of the branch. • The total current of a parallel circuit is equal to the sum of the currents of the individual branches of the circuit. • The total resistance of a Most circuits have more than two resistors of unequal value. The reciprocal method must then be used to find total resistance. The reciprocal method is as follows: 1 RT R 1 1 1 R2 1 R3 1 Rn — = — + — + — + + — The total resistance of a parallel circuit is not equal to the sum of the resistors, as in series circuits. When more branches are added to a parallel circuit, the total current (IT) increases. In a parallel circuit, the total

resistance.is less than any of the branch resistances. As more Designed to help students learn fundamental electrical concepts and explore their practical applications, this trusted text provides a solid foundation in electron theory and movement, directcurrent series circuits, parallel circuits,

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