Finding the
impedance of a parallel RLC circuit is considerably more difficult than finding the
series RLC impedance. This is because each branch has a
phase angle and they cannot be combined in a simple way. The impedance of the parallel branches combine in the same way that
parallel resistors combine:
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But although the branch impedance magnitudes can be calculated from
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they cannot be directly combined as suggested by the expression above because they are different in phase - like vectors in different directions cannot be added directly. This dilemma is most easily solved by the complex impedance method.
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