Homework 23 ECE201 Linear Circuit Analysis Due in class Friday October 21 2011 1 For the parallel RLC circuit shown below determine the following a Write a symbolic second order differential equation for the system in terms of inductor current iL Assume VC 0 V0 and iL 0 i0 b Write a symbolic second order differential equation for the system in terms of resistor current iR Assume VC 0 V0 and iL 0 i0 c Write a symbolic second order differential equation for the system in terms of capacitor current iC Assume VC 0 V0 and iL 0 i0 d Write a symbolic second order differential equation for the system in terms of capacitor voltage VC Assume VC 0 V0 and iL 0 i0 e If R 1 C 1F and L 1H then is the system under damped critically damped or over damped f If C 1 2 F and L 1 2 H then what does the resistance R need to be in order for the system to be critically damped g If R 1 2 C 1 3 F L 1 4 H iR 0 6A and iL 0 2A then find the solution for the capacitor current iC t for t 0 2 For the series RLC circuit shown below determine the following a Write a symbolic second order differential equation for the system in terms of inductor current iL Assume VC 0 V0 and iL 0 i0 b Write a symbolic second order differential equation for the system in terms of resistor voltage VR Assume VC 0 V0 and iL 0 i0 c Write a symbolic second order differential equation for the system in terms of capacitor voltage VC Assume VC 0 V0 and iL 0 i0 d Write a symbolic second order differential equation for the system in terms of inductor voltage VL Assume VC 0 V0 and iL 0 i0 e If R 3 C 3F and L 3H then is the system under damped critically damped or over damped f If C 1 2 F and L 1 2 H then what does the resistance R need to be in order for the system to be critically damped g If R 4 C 1 2 F L 2H iR 0 4A and capacitance charge QC 0 5 Coulombs then find solution of the inductor voltage VL t for t 0
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