HP HP-15C - Storing and Recalling Complex Numbers; Operations With Complex Numbers

128
Section 4: Using Matrix Operations
Solving a Large System of Complex Equations
Example: Find the output voltage at a radian frequency of
u> = 15 X 103 rad/s for the filter network shown below.
V= 10 volts
R! = 100 ohms
R2 = 106 ohms
# = 105 ohms
L = 10"2 henry
Ci = 25 X 10"8 farad
C2 = 25 X 10'6 farad
Describe the circuit using loop currents:
0
(-•R2)
/a>C2+ia
-M)
0
0
>L) (-iwL)
(Rz+inL-i/uCz)
h
h
Is
It
V
0
0
0
Solve this complex system for 71; 72, ^3, ^nd I\. Then VQ = (R^I^.
Because this system is too large to solve using the standard method
for a system of complex equations, this alternate method (described
in the owner's handbook) is used. First, enter the system matrix
into matrix A in complex form and calculate its inverse. Note that
wL = 150,1/wCi = 800/3, and l/a>C2 = 8/3.
Keystrokes Display
000-
Program mode.
Clears program memory.