PHYS345 Electricity and Electronics
Standard Form to Polar and Back on the TI82
Expeditious conversion of complex numbers between the standard form and
the polar form will facilitate your ability to perform ac circuit analysis
with accuracy and speed.
The TI82 class of graphing scientific calculator may be used to switch complex forms back and forth
with the ANGLE function; the TI85 calculator offers an even more efficient
function CPLX
The appropriate steps for operating the TI82 calculator are outlined below.
Note that you may use whatever variable names you please;
the desired angular units should be selected with the MODE function.

Standard Form to Polar Form
Example: What is the polar form of 2.34 + j5.67?
Enter: 
2.34 
Real part of the complex number. 
Key: 
STO> ALPHA X ENTER 
Store as variable X. 
Enter: 
5.67 
Imaginary part of the complex number. 
Key: 
STO> ALPHA Y ENTER> 
Store as variable Y. 
Key: 
ANGLE 5 ALPHA X, ALPHA Y ENTER 
First select the R>Pr conversion. 
Display: 
6.13 
The magnitude of the complex number. 
Key: 
ANGLE 6 ALPHA X, ALPHA Y ENTER 
Next select the R>Ptheta conversion. 
Display: 
67.57 
The phase angle. 
Answer: 6.13 \/ 65.6deg
Polar Form to Standard Form
Example: What is the standard form of 12.3 \/ 45.6deg?
Enter: 
12.3 
Magnitude of the complex number. 
Key: 
STO> ALPHA R ENTER 
Store as variable R. 
Enter: 
45.6 
Phase angle of the complex number. 
Key: 
STO> ALPHA T ENTER> 
Store as variable T. 
Key: 
ANGLE 7 ALPHA R, ALPHA T ENTER 
First select the P>Rx conversion. 
Display: 
8.61 
Real part of the complex number. 
Key: 
ANGLE 8 ALPHA R, ALPHA T ENTER 
Next select the P>Ry conversion. 
Display: 
8.79 
Imaginary part of the complex number. 
Answer: 8.61 + j8.79

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Last updated Sept. 26, 1998.
Copyright George Watson, Univ. of Delaware, 1998.