College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ A complex quantity \( Z \) is given as \( Z = -8 - j6 \). Calculate the phase angle (in degrees) for this complex number. Select all the correct answers.

A. -143.1
B. 36.9
C. 143.1
D. 216.9
E. 323.1

Answer :

Final answer:

To calculate the phase angle of a complex number, use the formula arctan(Imaginary Part / Real Part). For Z = -8 - j6, the phase angle is 36.9 degrees. The correct option is b.

Explanation:

To calculate the phase angle of a complex number, we use the formula:

Phase Angle = arctan(Imaginary Part / Real Part)

In this case, the complex number Z = -8 - j6. The real part is -8 and the imaginary part is -6. Plugging these values into the formula, we get:

  • Phase Angle = arctan(-6 / -8) = arctan(0.75)

Now, using a calculator, we can determine the value of this angle:

  • Phase Angle = 36.87 degrees

Therefore, the correct answer is b. 36.9 degrees.

Other Questions