RLC Parallel Circuits and
Impedance
 |
| Parallel RLC Circuit |
The program RLCPAREL
calculates:
* The total
impedance of the circuit, and its magnitude in ohms
* Phase angle
in a circuit in degrees.
* Current of
the series in amps.
Input:
Battery/Source: enter voltage and frequency
Add as many
resistors (R) (in Ohms Ω), capacitors (C) (in farad), and inductors (L) (in
henrys) as needed.
Notes:
HP Prime
program only: On the input screen, enter
the real (a) and imaginary (if needed) (bi) parts separately. Complex numbers can be directly entered on
the TI-84+ program.
Example:
Parallel circuit
powered by a 14 V, 5000 Hz battery. The
circuit has:
a resistor of
100 Ω, a capacitor of 3.2*10^-6 farads, and an inductor of 0.082 henrys.
Results:
Total
Resistance:
0.987305540105
– 9.88715235955*i
Magnitude:
9.93632497508
Phase Angle:
84.2974952432
Current:
1.40897163037
HP Prime: RLCPAREL
// Impedance of a
Parallel
// EWS 2015-02-22
// Turn allow
complex from real input on
// Declare
subroutines
chsubr();
casubr();
// Main Routine
EXPORT RLCPAREL()
BEGIN
// initial steps
Z0:=0;
// radian mode
HAngle:=0;
// counter
I:=0;
// battery
information
INPUT({V,F},"Battery
Information",
{"V =
","F = "},
{"Volts","Frequency
(Hz)"});
chsubr();
END;
// Choose Subroutine
chsubr()
BEGIN
LOCAL ch;
CHOOSE(ch,"# of
Components: "+STRING(I),
{"Add Resistor
(R)",
"Add Capacitor
(C)",
"Add Inductor
(L)",
"Calculate"});
// Execute
calculation subroutine
casubr(ch);
END;
// Calculation
Subroutine
casubr(x)
BEGIN
LOCAL a,b;
IF x==1 THEN
INPUT({a,b},"Add
Resistor (Ω)",
{"a
=","bi ="});
Z0:=Z0+1/(a+b*i);
I:=I+1;
chsubr();
END;
IF x==2 THEN
INPUT({a,b},"Capacitor
(farad)",
{"a
=","bi="});
Z0:=Z0-1/(i/(2*π*F*(a+b*i)));
I:=I+1;
chsubr();
END;
IF x==3 THEN
INPUT({a,b},"Inductor
(henry)",
{"a
=","bi="});
Z0:=Z0+1/(i*2*π*F*(a+b*i));
I:=I+1;
chsubr();
END;
// Termination
IF x==4 THEN
Z0:=1/Z0;
PRINT();
PRINT("Total
Resistance = "+Z0);
PRINT("Magnitude
(Ω) = "+ABS(Z0));
PRINT("Phase
Angle (°) ="+
STRING(−ARG(Z0)*180/π));
PRINT("Current
(amps) = "+
STRING(V/ABS(Z0)));
RETURN Z0;
END;
END;
TI-84+: RLCPAREL
a+bi // Complex mode
Radian // Radians mode
0→Z
Disp “BATTERY”
Disp “V = VOLT”
Disp “F = FREQ (HZ)”
Prompt V,F
Lbl 0
Menu(“CIRCUIT”,”+
RESISTOR”,1,”+ CAPACITOR”,2,
“+ INDUCTOR”,3,”CALCULATE”,4)
Lbl 1
Input “R (OHMS):”,R
Z+1/R→Z
Goto 0
Lbl 2
Input “C (FARAD):”,C
Z-(2πFC)/i→Z
Goto 0
Lbl 3
Input “L (HENRY):”,L
Z+1/(i2πFL)→Z
Goto 0
Lbl 4
1/Z→Z
Disp “IMPEDANCE=”
Pause Z
Disp “MAGNITUDE=”
Pause abs(Z)
Disp “PHASE ANGLE
(°)=”
Pause -angle(Z)*180/π
Disp “CURRENT (AMPS)=”
Pause V/abs(Z)
Sources:
ElectronicsTutorials. Parallel RLC Circuit Analysis URL:
Retrieved
February 22, 2015
Van Valkenburg,
Mac E. (Editor) and Wendy M. Middelton (Editor)
"Reference
Data for Engineers: Radio, Electronics, Computer, and
Communications" 9th Edition.
Newnes, Butterworth-Heinemann:
Wolburn,
MA 2002.
Print.
This blog is
property of Edward Shore. 2015.