Click \"reset\" to clear the parameter graphs and open switch S. Notice that the

Question

Click "reset" to clear the parameter graphs and open switch S. Notice that the capacitor is now fully charged, as indicated by the tan electric field vectors between the plates, and also by the red bar labeled U_c in the bar-graph on the lower right. U_c indicates the energy stored within the capacitor, and with the switch S open is the total energy of the LC oscillator. Now examine the block-spring system. The spring is fully stretched away from its equilibrium position. In this configuration, the total energy of the block-spring system is fully contained as potential energy of the stretched spring. With your mouse, adjust the slider labeled "inductance L". Notice that as you increase L, you also increase the mass of block-spring system. Thus inductance in the LC circuit is analogous to mass in the block-spring system. Next, adjust the slider labeled "capacitance C". Notice that by decreasing C, you increase the spring constant k of the block-spring system. Thus, the capacitance C in the LC circuit is analogous to 1/k in the block-spring system. Now begin the animation by closing switch S. The bar-graph on the lower right indicates that the energy of the LC oscillator is at all times shared between energy U_c stored in the capacitor and energy U_L (aqua bar) stored in the inductor. This is also indicated by the magnitude of the electric field (indicated by the number of tan arrows between the plates of capacitor C) and the magnitude of the magnetic field (indicated by the number of blue arrows with the coils of the inductor L). Match each item on the left with the most appropriate item on the right. Energy of the LC circuit is completely contained in the electric field. Energy of the LC circuit is completely contained in the magnetic field. LC circuit parameter C LC circuit parameter L

Explanation / Answer

Here,

for the analogy between two systems

Energy of the LC circuit is completely contained in the electric field >> energy of spring system in potential energy of spring

Energy of the LC circuit is completely contained in the magnetic field >> energy of spring system in kinetic energy of block

LC circuit parameter C >> block spring parameter 1/k

LC circuit parameter L >> block spring parameter m

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