Chapter 2: Q31P (page 64)

Use Problems 27 and 28 to find the following absolute values. If you understand Problems 27 and 28 and equation (5.1), you should be able to do these in your head.
$| 5 e^{2 πi / 3} |$

Short Answer

Expert verified

The absolute value of the expression ${|5e}^{2 πi / 3} | = 5$ .

Step by step solution

Given information

The given complex number is ${|5e}^{2 πi / 3} |$ .

Definition of complex numbers.

The numbers that are presented in the form of $a + ib$ where a,b are real numbers and is an imaginary number called complex numbers.

Step 3: Use the result concluded in problem 27.

Let the complex number $5 e^{2 πi / 3}$ be . ……. (1)

Use the result concluded in problem 27.

$R = |z| R = |r e^{(i θ)}| R = r$

…….(2)

Compare equations (1) and (2) as:

$R = 5 .$

Hence the absolute value of the expression $|5 e^{2 πi / 3}| = 5 .$

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Use Problems 27 and 28 to find the following absolute values. If you understand Problems 27 and 28 and equation (5.1), you should be able to do these in your head.
$| 5 e^{2 πi / 3} |$

Short Answer

Step by step solution

Given information

Definition of complex numbers.

Step 3: Use the result concluded in problem 27.

One App. One Place for Learning.

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Use Problems 27 and 28 to find the following absolute values. If you understand Problems 27 and 28 and equation (5.1), you should be able to do these in your head.|5e2πi/3|

Short Answer

Step by step solution

Given information

Definition of complex numbers.

Step 3: Use the result concluded in problem 27.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Wave Optics

Conservation of Energy and Momentum

Nuclear Physics

Atoms and Radioactivity

Fluids

Electricity

Study anywhere. Anytime. Across all devices.

Use Problems 27 and 28 to find the following absolute values. If you understand Problems 27 and 28 and equation (5.1), you should be able to do these in your head.
$| 5 e^{2 πi / 3} |$