Question

(M-S) For a circuit to behave linearly, certain properties must be adhered to obeyed). Select from the list below the properties that define linearity, where alpha and beta are scalar in value: Page 2: 2 a) s(ax) = f(a)f(x) Page 3: b) f(x + y) = f(x)/()) 3 c) Sax)=af(x) Page 4: d) Sax+By) = a f(x)+ BS() e) S(x + y) = f(x) + f(y) Page 5:

Answer 1

Answer: option (d)

(1) For a circuit to behave linearly it must obey homogenity and superposition principle. a TE gi - Let a be the input & Y, be the output T[a (i) To obey homogenity Principle Y = T Cax za T[x] =ay, Similarly for ax input Y T[an] LT[a] =ay, Similarly for By Eupet Y T[84] = BT[y] =By a 2 - _^. [") According to the superposition theorem the total response due to inputs (Xx+B8) is equal to sum of individual responses

:T[xx+py = T[an] + T[py According to super position theorem =T Cx] + BT Cy] to Accading C: homogenity Similarly Principle) (ax +Py) =+x) + f(BY) = a + (x) + + Linear systems of circuit.