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21.4 Series and Parallel Combinations of Resistances

The Series Combination

Figure 2
Click here to enlarge

From Kirchoff's First Law, also known as KCL ( Kirchoff's Current law), it is obvious that the current i flowing through each resistance is the same.

From Kirchoff's Second Law, also known as KVL (Kirchoff's Voltage Law).


Parallel Combination

Figure 3

At junction Q (- i ) + (+ i1) + (+ i2) + ( i3) = 0 by KCL.

\    i = i1 + i2 + i3

Around the loop PQLORSP

VPQ + VQL + VOR + VLO + VRS + VSP = 0

0 + 0 + (-i1 R1 ) + 0 + 0 + E = 0

(The potential difference across connecting wires is taken as zero)

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Index

21.1 Electric Current
21.2 Ohm'z Law
21.3 Kirchoff's Laws
21.4 Series and Parallel combination of Resistance

Chapter 23





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