### 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.**