### Network theory Objectives Part 03

41. The super position theorem requires as many circuits to be solved as there are sources.

42 . The number of independent equations to solve a network is equal to the number of chords.

43 . The laplace transform of ramp function is = 1/s2

44 . A unit ramp function when integrated yields unit parabolic functions.

45. S is the laplace transform of unit doublet .

46 . A unit impulse function is obtained on the differentiation of unit step function.

47 . For even symmetry the Fourier series consist of only cosine terms.

48 . For odd symmetry the Fourier series consist of only sine terms.

49 . For half wave symmetry the Fourier series consist of only odd harmonics.

50 . Current sources in parallel are added algebraically and if it is in series then current is the same as any one source.

51 . For nodal analysis we use KCL and for mesh analysis we use KVL

52 . Any periodic waveform can be represented by infinite sum of sine and cosine functions.

53 . Ratio of effective value to average value is the form factor of a waveform.

54 . In parallel resonance ckt, admittance is minimum at resonance and resistance is maximum at resonance.

55 . Laplace transform of t2 has 3 poles at s=0.

56 . Initial condition, is to be subtracted in case of differentiation and added in case of integration.

57 . Thevenin equivalent circuit is preferred when circuit is analyzed in term of voltage and impedance.

58 . Norton equivalent circuit is preferred when circuit is analyzed in term of current and impedance.

59 . Max possible power can be delivered to load when load resistance equal to internal resistance of dc generator.

60 . The condition for network to be lossless in term of ABCD parameter is A and D real and B and C imaginary.