文档介绍：Basic Circuit Theory
Chpter13 Problems
1 If f(t) = 100 for 0 < t < 1 ms, f(t) = 40 for 1 < t < ms, f(t) = 0 for < t < 10 ms, where T =
10 ms, find A 5 and A −5 .
plex Fourier coefficients for a certain periodic voltage are: A 0 =10, A 1 =8-j6, A 2 =5+j0,
A 3 =1+j2, A 4 =1+j0, and A n =0 for n > 4. (a) Calculate v at t=T/4. (b) Find the average power
delivered by this waveform to a 5 Ω resistor.
3 Let v(t) = 3 – 3 cos (100π t - 40 o )+4 sin(200π t - 10 o )+ cos 300π t V. Find: (a) the average
value V av ; (b) the rms value V; (c) the period T; (d) v(18ms).
4 The waveform shown in Fig. 13-12 is periodic with T=10s. Find (a) the average value; (b) the
effective value; (c) the value of a3 .
f (t )
f (t)
4
4
2
t (s)
− 5 − 2 0 2 5 −6 −4 −2 062 4 t
Fig. 13-12 For prob. 4. Fig. 13-13 For prob. 5.
5 Find the Fourier series for the signal in Fig. 13-13. Evaluate f(t) at t=2 using the first three
nonzero harmonics.
6 Find i(t) in the circuit of Fig. 13-14 given that
∞ 1
i (t) = 1 + cos3nt A
S ∑ 2
n=1 n
2 Ω
i(t) v s
20 Ω+
i s
10 +
10mF v o
2H v s
-
1 Ω-
− 2 − 1 0 1 23t
(a) (b)
Fig. 13-14 For prob. 6.
Fig. 13-15 For prob. 7.
7 The periodic voltage waveform in Fig. 13-15a is applied to the circuit in Fig. 13-15b. Find the
voltage v 0 (t) across the capacitor.
8 Th