Chapter 21. Angular frequency, period, and frequency for an LC circuit (21-23)

Question

74ZQsRWNs5eaxFMtu1ST1zsHSXQD2A/8
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Question

i3GYZUGh83sgFQrZ
{"title":"Angular frequency","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,27,29,50\"}]"} {"title":"Period","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"1,127,23,153\"}]"} {"title":"Frequency","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"1,232,15,267\"}]"}

Question

6AjRK1rC+/08Tcq8CY6Akw==
{"title":"Angular frequency","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,27,29,50\"}]"} {"title":"Period","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"1,127,23,153\"}]"} {"title":"Frequency","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"1,232,15,267\"}]"}

Review

Table 21-1 tells us that \(k\) corresponds to \(1/C\) and m corresponds to \(L\). So the angular frequency, period, and frequency for the oscillations of an \(L\)C circuit are

The smaller the product \(LC\) of inductance and capacitance, the greater the angular frequency and frequency of the oscillations and the shorter the oscillation period.