3. Nonlinear capacitor A nonlinear capacitor is one whose stored charge is a nonlinear function of the voltage across it. =f(o) If q=ko2 i(t) g db k U2)dU 十 dt do dt 2 dt d=-n 22-dynamic capacitance Example: If u=v(1+asin),q=kvu(a<<1). Findi(). dqdq du k k Va cos t 丿 a cos t dt du dt 2 2√(1+ a sint) kav cost(1-3asint 2 vv(cost-I a 2t)3. Nonlinear capacitor A nonlinear capacitor is one whose stored charge is a nonlinear function of the voltage across it. q = f () dt d C dt k d dt d d dq dt dq i t If q k d       = = = = = − ) 2 ( ) ( 2 1 2 1 +  − i 2 1 2 − =  k Cd Example:If Find  =V(1+ sint), q = k  (  1). i(t). (1 sin ) cos 2 cos 1 2 ( ) V t k V t V t k dt d d dq dt dq i t       + = = = = sin ) 2 1 cos (1 2 V t t k   −  sin2 ) 4 1 (cos 2 V t t k   −  − −dynamic capacitance