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Unformatted text preview: What if there is no resistance i.e., R = 0? Then we have the diFerential equation Q + 1 LC Q = E ( t ) L . Hence there is a transient charge Q c ( t ) = A cos t + B sin t in terms of = 1 LC . If we have an electromotive force E ( t ) = E cos t at the same frequency as the natural frequency of the circuit, then we expect resonance within the circuit. That is, the amplitude of the charge | Q ( t ) | as t . This would cause a meltdown in the circuit!...
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This note was uploaded on 11/30/2011 for the course MATH 366 taught by Professor Edraygoins during the Spring '09 term at Purdue University-West Lafayette.
- Spring '09