blob: 4b6e43d75c6173e39e45e91b7b2daf4a2b97f489 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
|
//CHAPTER 2- STEADY-STATE ANALYSIS OF SINGLE-PHASE A.C. CIRCUIT
//Example 54 Read example 53 of the Book
disp("CHAPTER 2");
disp("EXAMPLE 54");
//VARIABLE INITIALIZATION
C=2.5/(10^6); //capcaitance in Farads
R=15; //in Ohms
L=260/1000; //in Henry
//SOLUTION
//resonant Frequency is given by
//fr= 1/ 2.pi.(sqrt (1/LC - R^2/L^2))
//Q-factor is given by:
//Qf=2.pi.fr.L/R
//dynamic impedance is given by
//Zr=L/C.R
//
//solution (i)
f_r=(1/(2*%pi))*sqrt((1/(L*C)-(R^2/L^2)));
f_r=round(f_r); //to round off the value
disp(sprintf("(i) The resonant frequency is %d Hz",f_r));
//solution (ii)
q_factor=(2*%pi*f_r*L)/R;
disp(sprintf("(ii) The Q-factor of the circuit is %.2f",q_factor));
//solution (iii)
Z_r=L/(C*R);
disp(sprintf("(iii) The dynamic impedance of the circuit is %.0f Ω",Z_r));
//END
|
