Please help me with this differential equations question and please show the full solution. Thank you very much.   Question 1.) Find the subsequent charge of the capacitor of an RLC circuit connected in series that has R=185 ohms, C=1/300 farad, L=22 henries, and an applied voltage of 12sin(t). Assume that there is no initial charge on the capacitor, but an initial current of 1.5 ampere at t=0 when the voltage is first applied.

Delmar's Standard Textbook Of Electricity
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ISBN:9781337900348
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Chapter19: Capacitors
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Please help me with this differential equations question and please show the full solution. Thank you very much.

 

Question 1.) Find the subsequent charge of the capacitor of an RLC circuit connected in series that has R=185 ohms, C=1/300 farad, L=22 henries, and an applied voltage of 12sin(t). Assume that there is no initial charge on the capacitor, but an initial current of 1.5 ampere at t=0 when the voltage is first applied. 

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