# Electric circuit how to check linearity

by satya77
Tags: check, circuit, electric, linearity
 P: 39 Hi all, I found the following equations for the electric circuit shown Vc(t) = - 1/(R2*C) * Vc(t) – 1/C * i(t) --------------------1 Vt(t) = Vc(t) – R1*i(t) ------------------------------------ 2 I have the following questions 1.The first equation should be dVc(t)/dt = -1/(R2*C) * Vc(t) – 1/C * i(t) . Am I correct on this? 2.The discrete time equations are given in the documents as Vc,k+1 = exp(-T/(R2*C)Vc,k – R2 * (1 – exp(-T/R2*C)*ik --------------- 3 Vt,k = Vc,k – R1*ik; ------------------------------------------------------------- 4 I can understand the 4th equation, but I cannot understand the 3 equation, could someone guide me how to do this conversion from continuous to discrete. What is the “T” that is used? 3.Is this system linear? From little understanding I have, when an exponent is involved generally it is nonlinear. What is the methodology I should adopt to check whether a system is linear or nonlinear? thanks in advance, Regards Attached Thumbnails

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