A Driven Series L-C Circuit Correct Learning Goal To understand why a series L-C

Question

A Driven Series L-C Circuit Correct Learning Goal To understand why a series L-C circuit acts like a short circuit at resonance The phase angle between voltage and current for inductors and capacitors is 90 degrees, or radians. Among other things, this means that no power is dissipated in either the inductor or the capacitor, since the time average of current times voltage, (I(t)V(t)). is zero. An AC source drives a sinusoidal current of amplitude Io and frequency w into an inductor having inductance L Part B Figure 1of 1 What is V(t), the voltage delivered by the current source? Express V(t) in terms of some or all of the variables lnAI-vL and Xc-wC, or C and L, , and, of course, time t. 1(0) Hints V(t)- Submit My Answers Give Up

Explanation / Answer

At resonance the capacitive reactance and the inductive reactance equals each other.

At resonant frequency, the amplitude of the voltage supplied by the current source is zero.

That is,

V0 = 0

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