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4) RLC parallel circuits R1 R2 500 1E-2 1E-8 U2 1500 In the above circuit, the source turns on at t-0 with a voltage of 10V. Additionally, switch U1 is closed and switch U2 is open. At 15E-6 s switch U1 opens and switch U2 closes. The source also tuns off at 15E-6 s a. Use Laplace analysis to determine the voltage across the capacitor as a function of time for 0<t< 15E-6 (s) b. Use Laplace analysis to determine the voltage across the capacitor as a function of time for t 15E-6 s c. Extra credit (5 pts) Is there a way to directly get all of t0 and get an equivalent answer? Prove it.

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