Consider the following network:Which one of the following

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Consider the following network:

Which one of the following is the differential equation of V in the above network?

1. C dV + GV = 0
  dt
2. G dV + CV = 0
  dt
3. 1 dV + GV = 0
  C dt
4. C dV – GV = 0
  dt

Correct Option: C

The given network

Applying KCL we get,
VG = i_C

or VG = C	dv
	dt

or C	dv	– GV = 0
	dt

Hence alternative (C) is the correct choice.