PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

308 Practical MATLAB® Applications for Engineers

The voltage drop across the RL (in volts) is:

100009 2 599997 3

------ t - ------ t - 9/25 + 1000 t

100 50

The voltage drop across the CR (in volts) is :

4722366482869645 4 28334198901940237765045645 3

------------------- t + ----------------------- t

37778931862957161709568 28334198897217871282176

4722366468702545765087065 2

+ ---------------------- t - 12000 t

4722366482869645213696

The power _ R(t) in watts is :

3 2 3 3 2

(t + t - 12 t) (1000 t + 1000 t - 12000 t)

The power _ L(t) (in watts) is:

3 2 2

(t + t - 12 t) (9/100 t + 3/50 t - 9/25)

The power _ C(t) (in watts) is:

3 2 / 4722366482869645 4 4722366482869645 3

(t + t - 12 t) --------------- t + --------------- t

\37778931862957161709568 28334198897217871282176

14167099448608935 2 \

• ------------------- t |
  4722366482869645213696 /
  ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

150

100

50

0

05

− 50

− 100

Amplitude (amps)

Amplitude

Amplitude Amplitude

i(t) versus t

integral i(t) versus t d[i(t)/dt] versus t

[i(t)^2 ] versus t

− 5

15,000

10,000

5000

0

100

50

100

50

− 50

0

0

− 5 05

− 5 0 − 5 0 5

time time

5

t t

FIGURE 3.85
Plots of parts 1–4 of Example 3.20.