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

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

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

   _____Q''+ _____Q' + _____Q = ______

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

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

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

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Expert Solution

genius_generous answered 1 year ago

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