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. Fortunately, even inexpensive scientific calculators can switch between the two representations with ease by use of the Polar->Rectangular and Rectangular->Polar functions. The appropriate steps for operating the TI-30x calculator are outlined below:

Standard Form to Polar Form Example: What is the polar form of 2.34 + j5.67? Enter: 2.34 First, enter the real part of the complex number. Key: Push the real part into memory. Enter: 5.67 Second, enter the imaginary part of the complex number. Key: Convert to polar representation. Display: 6.13 The first number displayed is the magnitude of the complex number. Key: Pull the angle from memory. Display:   67.57   The second number displayed is 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 First, enter the magnitude of the complex number. Key: Push the magnitude into memory. Enter: 45.6 Second, enter the phase angle of the complex number. Key: Convert to standard representation. Display: 8.61 The first number displayed is the real part of the complex number. Key: Pull the imaginary part from memory. Display:   8.79   The second number displayed is the imaginary part. Answer:   8.61 + j8.79