Oscillations in an W Circuit In the figure, the battery has an emf of 11.0 V, th

Question

Oscillations in an W Circuit In the figure, the battery has an emf of 11.0 V, the inductance is 2.88 mH, and the capacitance is 8.30 pF. The switch has been set to position a for a long time so that the capacitor is charged. The switch is then thrown to position b, removing the battery from the circuit and connecting the capacitor directly across the inductor. (A) Find the frequency of oscillation of the circuit. Conceptualize When the switch is thrown to position b, the active part of the circuit is the right-hand loop, which is an LC circuit. Categorize We use equations developed in this section, so we categorize this example as a substitution problem.

Explanation / Answer

The new charge in the capacitence is found as 18% of the maximum value

If Q is the maximum value then, the new charge,Q'=Qmax*18/100=Qmax*0.18

Qmax=9.13*10-11 C

Since current is directly propotional to the charge flowing in a circuit, the current will also be its 18% of the maximum current value.

We already calculated that at an instant the maximum charge Qmax=9.13*10-11 C can produce a current of 0.00059 A. So when the capacitence reduced by 18% means the current reduced by 18% of its maximum value. So the new current is 0.0001062 A

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