I If f(t)=100 for 04.(a) Calculate v at t=T/4.(b) Find the average power delivered by this waveform to a 5Q2 resistor 3 Let v(t)=3-3 cos(100 t-40)+4 sin(200 T t-10)+2.5 cos 300 tt V Find: (a)the average value Var;(b)the rms value V;(c)the period T; (d)v(18ms)

A cosine voltage is zero and increasing at t=-1 6ms; the next zero crossing occurs at t 4.65ms. (a)Calculate T, f, and @.(b) If v(0)=20V, find v(t).(c)By what angle does v(t) I(t)=5cos(t-110°)A? 2 For the sinusoidal waveform shown in

I Writing nodal equations by inspection determine v, in each circuit of Fig 2-32 6 A

Basic Circuit Theory ChpterI Problems 1 For the circuit of Fig. 1-26 find: V, i, and the power absorbed by the load

n--a large constant voltage source (t)-- small time-varying- voltage source(small signal) >>(3) bsin +i=(),+ (o)=: JOX tniog gin9go int---(1)←0=()2utJ

1. Establish a normal tree. tree branches--Us, C(, R) cot ree(chords)-i,,(, R) 2. Assign voltage and current variables. Assign a voltage (with polarity reference) to every capacitor and a current(with arrow) to every inductor; there are the state variables. Indicate the voltage across every tree branch and the current through every link in terms of the source voltages, source currents,and the state

We consider each term of the Fourier aeries representing the voltage as a single source. The equivalent impedance of the network at no is used to compute the current at that harmonic. XL(n) =noL and XC() =-1/noC The sum of these individual responses is the total response i

Let us add and subtract on the right side of I2 we have

Frequency characteristics(Xi, xc,x,z, y, o vs o Z=R+A=R+(L+Xc)=R+ilo I

We assume=Im cos(t+a)i=Im cos(ot+B) The phase angle by which the voltage leads