Is there always a phase shift between current and voltage in an RLC circuit?

AI Thread Summary
In an RLC circuit with an AC supply, the current will always be phase-shifted compared to the voltage if the impedance has an imaginary component or if the circuit is not at resonance. The phase angle α is determined by the impedance, expressed as Z = |Z|*eiα, where α = atan[im(Z)/re(Z)]. This phase shift is crucial for understanding the relationship between voltage and current in AC circuits. The phasor diagram visually represents these relationships, confirming the existence of the phase shift. Therefore, as long as the conditions mentioned are met, the phase shift will always be present.
Nikitin
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Hey. Say you have an RLC circuit with an AC supply. Then I=ei(ωt-α). My question is: will α always exist, ie will the current always be phase-shifted compared to the voltage, as long as the impedance has an imaginary component or if the circuit is not at resonance? Does Z = |Z|*eiα, where α = atan[im(Z)/re(Z)] ?
 
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Does the phasor diagram answer your question?

rlc.gif

Source: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/rlcser.html
 
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