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Could you help me answering this question as it states? RC Circuits Writing Assi

ID: 2137919 • Letter: C

Question

Could you help me answering this question as it states?



RC Circuits Writing Assignment Show that Q = Qoe1/RC is a solution of the differential equation: RdQ/dt + Q/C = 0. You will need to calculate dQ/dt for use in the proof. Define all variables and parameters. Explain each step of your proof in words. Number your equations (1), (2), (3),... in the right hand margin, using the format given in the Formal Lab Report Requirements section of the lab manual. If possible, state whether the proposed solution is the only solution for this differential equation. Cite an authority, such as your calculus textbook, if you do not prove it yourself. Again, use the format given in the Formal Lab Report Requirements section of the lab manual.

Explanation / Answer

Q = Q0 e^(-t/RC)


dQ/dt = Q0 (-1/RC) e^(-t/RC)


R dQ/dt + Q/C = R (Q0 (-1/RC) e^(-t/RC)) + (Q0 e^(-t/RC))/C = ((Q0/C) e^(-t/RC)) - ((Q0/C) e^(-t/RC)) = 0



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