Circuit Reduction Techniques
Circuit reduction techniques comprise series or parallel combination and VDR/CDR formulae. From the schematic diagram in Figure, it is clear that R3 and R4 are in parallel; therefore they can be combined and reduced to the single resistor, R5 by using Equation. Therefore
R5 is in series with R1, therefore the combined resistance R6 can be calculated by Equation which is a simple algebraic sum that is
The equivalent resistance, R6, is now in parallel with R2 giving a single resistance, R7 of . The process at each step is depicted in Figure drawn below.
Figure--Circuit reduction using series and parallel combination of resistors.
From Figure (c), the current, Is, supplied by voltage source can be calculated by using Ohm's law
In Figure(b), current through R2 can be found by applying CDR between R2 and R6 that is
As R6 is a series combination of R1 and R5, thus
The current IR5 is sum of currents through parallel combination of R3 and R4. Hence CDR can be applied to determine currents through each resistor. As R3 R4, thus the currents IR3 and IR4 are
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