Series and parallel circuits

Feb 3rd, 2012
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This is a 6-page paper discusses about the resistors connected in series and parallel, it offers details about the principle and formula for the two-typ circuit and give several examples for the illustration.

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Resistors connected in series and parallelComponents in an electronic circuit can be connected in many different ways. Among these, twosimplest ways are series and parallel.As shown in figure 1, in a series circuit, the same current flows through all of the components,while in a parallel circuit, the same voltage are shared by all the components as shown in figure 2.VIR1R2R3R4Figure 1The current flows through all the components in a series circuit are the same, i.e.,I1 = I2=I3=I4= IThe total voltage across all the components in a series circuit are the sum of voltage on eachcomponent, i.e.,V = V1+V2+V3+V4We can use ohms law for each component in the circuit, i.e,I1 = V1/R1 , I2 = V2/R2 , I3 = V3/R3, I4 = V4/R4Also if we regard R1, R2, R3, and R4 as a single component with equivalent resistance of ReqThe ohms law can be written as:I = V/Reqfrom ohms law for R1 through R4, we haveV = V1+V2+V3+V4 = I (R1+R2+R3+R4)Compare this to V = Req I, we haveReq = (R1+R2+R3+R4)If all the components in a series circuit has same resistance R, then Req = nR, and n is the numberof components in the circuit.VR1R2R3R4Figure 2In contrast, in a parallel circuit, the currents flow through each component are not the same, butthe voltage across each component is the same, the total current is the sum of current flowsthrough each branch, i.e.,V1 = V2=V3=V4I = I1+I2+I3+I4Ohms law for each component in the circuit has the form:I1 = V/R1 , I2 =

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