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Consider an RLC circuit with resistance 20Ω20Ω  , inductance 0.05H0.05H , capacitance 2500μF2500μF , and an impressed voltage,...

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Physics

Consider an RLC circuit with resistance 20Ω20Ω  ,inductance 0.05H0.05H , capacitance 2500μF2500μF , and an impressedvoltage, provided by an alternating current generator, withV=50V,120HzV=50V,120Hz. At t=0t=0V=0V,Q=2C,I=1AV=0V,Q=2C,I=1A.

a. Complete the ODE below in terms of the charge in the circuitQ(t)Q(t)

   _____Q''+ _____Q' + _____Q = ______

b. Solve the ODE and complete the equation for the chargeQ(t)=Q(t)=   

c. Upload a file with your work for part b and a graph of thecurrent I(t)


d. Write a short essay to Interpret the graph of the current in thecontext of the RLC circuit scenario. Explain the whole graph(initial conditions, overall pattern, end behavior) in the contextprovided.

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