Physics · Control Systems
For a parallel RLC network excited by an independent current source i(t), where v c is the capacitor voltage and i L is the inductor current, the state equation of the system is given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1d dt [ v c i L ] = [ 1/L R/L 0 -1/C ] [ v c i L ] + [ 1/C 0 ] i
- 2d dt [ v c i L ] = [ 1/L -R/L 0 -1/C ] [ v c i L ] + [ 1/C 0 ] i
- 3d dt [ v c i L ] = [ 0 -R/L 1/L -1/C ] [ v c i L ] + [ 1/C 0 ] i
- 4d dt [ v c i L ] = [ 0 -1/C 1/L -R/L ] [ v c i L ] + [ 1/C 0 ] i✓
Correct answer
d dt [ v c i L ] = [ 0 -1/C 1/L -R/L ] [ v c i L ] + [ 1/C 0 ] i
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