Electrical Engineering ⇒ Topic : Series-to-Parallel Conversion and Vice-Versa
Series-to-Parallel Conversion and Vice-Versa
In many circuit applications, it is desired to convert series-connected parameters to the equivalentparallel-connected parameters and vice-versa. Fig. (a) shows equivalent RL series and RL parallel circuits. The series circuit has resistance Rs and reactance Xs while the parallel circuit has resistance Rp and reactance XP. Since the two circuits are equivalent, they must have equal impedance (Z) or admittance (Y) and phase angle Φ. This general principle can be applied while carrying out the conversion
The same principle can be applied to two RC circuits. But an RL circuit cannot be made equivalent to an RC circuit. It is because even if the phase angles were made numerically equal, one of them would be an angle of lag and the other an angle of lead.
Note. We can easily develop formulas for series-to-parallel conversion and vice-versa. However, there is no need of remembering such formulas in view of the general principle explained above. The general principle discussed above gives more insight than the derived formulas for above conversions
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