Why Does the Voltmeter Read 20V When the Switch is Turned Off in an LC Circuit?

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Hello,

This is just a conceptual question I have for the image below.
http://img22.imageshack.us/img22/7489/44840348.jpg

If the switch is turned off at t=0, why is the voltage across the voltmeter=20V? I understand that current in all inductors is zero. But wouldn't at t=0, current would need to pass through the first resistor, and therefore a voltage has dropped making voltmeter reading less than 20V?

Thank you in advance.
 
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First consider a simple LC curcuit. Apply kisrchoff's and solve the differential equation for current. You will get that An inductor behaves like infinite resistance at t=0 and a pure conductor at t=infinity. Form this i think that you would be able to solve the problem

And just for extra information: A capictor behaves like a pure conductor at t=0 and as an infite resistance at t=infinity
 
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