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An L-C circuit has an inductance of 0.430H and a capacitance of 0.26.nF. During

ID: 1385455 • Letter: A

Question

An L-C circuit has an inductance of 0.430H and a capacitance of 0.26.nF. During the current oscillations, the maximum current in the inductor is 1.60A. This applet demonstrates how the energy of an L-C oscillator moves back and fourth between the capacitor and inductor. This is analogous to the way in which the energy of a simple harmonic oscillator moves back and fourth between kinetic and potential energy. If you make the resistance nnonzero, then some of the energy will be dissipated over time, similar to the case of a simple harmonic oscillator with friction or drag forces.

Explanation / Answer

The capacitor reaches peak voltage twice during one cycle. There are w/(2?) cycles per second, so the capacitor stores the peak energy w/? times per second,

so we will find w

w=1/undrt(LC)

=1/undrt(0.430*0.260*10^-9)

=1/undrt(0.11*10^-9)

=1/1.04*10^-5

=0.96153*10^5

w/?

0.96153*10^5/3.14

=0.306*10^5

=3.06*10^4 s^-1

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