MasteringPhysics

# MasteringPhysics - MasteringPhysics 2:04 AM A Driven Series...

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3/13/09 2:04 AM MasteringPhysics Page 1 of 3 A Driven Series L-C Circuit Learning Goal: To understand why a series L-C circuit acts like a short circuit at resonance. An AC source drives a sinusoidal current of amplitude and frequency into an inductor having inductance and a capacitor having capacitance that are connected in series. The current as a function of time is given by . ( Intro 1 figure ) Emmanuel Klein Part A Recall that the voltages and across the inductor and capacitor are not in phase with the respective currents and . In particular, which of the following statements is true for a sinusoidal current driver? and both lag their respective currents. and both lead their respective currents. lags and leads . leads and lags Correct 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, , is zero.

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