Question: Solve the given problems. Refer to Example 4. If I = 0.835 0.427j amperes and Z = 250 + 170j ohms, find the complex-number

Solve the given problems. Refer to Example 4.

If I = 0.835 − 0.427j amperes and Z = 250 + 170j ohms, find the complex-number representation for E.

Data from Example 4

In an alternating-current circuit, the voltage E is given by E = IZ, where I is the current (in A) and Z is the impedance (inΩ). Each of these can be represented by complex numbers. Find the complex number representation for I if E = 4.20 − 3.00j volts and Z = 5.30 + 2.65j ohms.
Because I = E/Z , we have I = 4.20 - 3.00j 5.30 + 2.65j 22.26 - 11.13j (4.20

I = 4.20 - 3.00j 5.30 + 2.65j 22.26 - 11.13j (4.20 (5.30 + 2.65j)(5.30 14.31 - 27.03j 35.11 3.00j)(5.30 - 2.65j) 2.65j) 22.26 7.95 27.03j 5.30 +2.65 5.30 - 2.65 j = 15.90j + 7.95j 0.408 0.770j amperes multiply by conjugate of denominator

Step by Step Solution

★★★★★

3.37 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

In Example 4 we saw that the voltage E in an AC circuit can be represented by the complex n... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Basic Technical Mathematics Questions!

Solve the given problems. Refer to Example 4. If E = 85 + 74j volts and Z = 2500 1200j ohms, find the complex-number representation for I. Data from Example 4 In an alternating-current circuit, the...

Solve the given problems. Refer to Example 4. If E = 5.70 3.65 j mV and I = 0.360 0.525 j A, find the complex-number representation for Z. Data from Example 4 In an alternating-current circuit, the...

Solve the given problems. Refer to Example 4. In an alternating-current circuit, two impedances Z 1 and Z 2 have a total impedance Z T of Find Z T for Z 1 = 3.2 + 4.8j m and Z 2 = 4.8 6.4j m. Data...

Name: SIMPLE DC WORKSHEET OUTLINE: 1. Overview of Ohm's law 2. Introduction to the circuit symbol 3. Electrical quantities and units 4. Series and Parallel Circuits and characteristics 5. Example...

TANGLEWOOD CASEBOOK for use with STAFFING ORGANIZATIONS 5th Ed. Kammeyer-Mueller 1 TANGLEWOOD CASEBOOK To accompany Staffing Organizations, fifth edition, 2006. Prepared by John Kammeyer-Mueller...

TANGLEWOOD CASEBOOK for use with STAFFING ORGANIZATIONS 7th Ed. Kammeyer-Mueller 1 TANGLEWOOD CASEBOOK To accompany Staffing Organizations, seventh edition, 2012. Prepared by John Kammeyer-Mueller...

TANGLEWOOD CASEBOOK for use with STAFFING ORGANIZATIONS 5th Ed. Kammeyer-Mueller 1 TANGLEWOOD CASEBOOK To accompany Staffing Organizations, fifth edition, 2006. Prepared by John Kammeyer-Mueller...

TANGLEWOOD CASEBOOK for use with STAFFING ORGANIZATIONS th 8 Ed. Kammeyer-Mueller 1 TANGLEWOOD CASEBOOK To accompany Staffing Organizations, eighth edition, 2015. Prepared by John Kammeyer-Mueller...

Describing Data Once we have collected data from surveys or experiments, we need to summarize and present the data in a way that will be meaningful to the reader. We will begin with graphical...

just only 2 questions ,please read the requirment word by word and be careful about the style of the reference(APA) , file 3.1 is for question 2..BTW,please focus the every step FINANCE SPOTLIGHT...

Use a statistical software package to simultaneously test all six hypotheses given at the beginning of this section. a. Submit the appropriate software output. b. Create a normal probability plot...

The income statements for Urban Outfits, Inc. are presented below: Urban Outfits, Inc. Income Statements Year Ended December 31 Sales Revenue Cost of Goods Sold Gross Profit Operating and Other...

Start investing early, choose higher return investments, make regular contributions, and use tax-advantaged accounts

Do nice guys really finish last? In baseball, there is an old saying that nice guys finish last. Is this true in the competitive corporate world? Researchers at Harvard University attempted to answer...

Data A.1 on page 136 and the followup study described in Exercise A.4 imply that mice that eat when they should normally be sleeping gain significantly more weight than mice that eat at the usual...

A study described in Data A.1 on page 136 found that mice exposed to dim light at night gained substantially more weight than mice that had complete darkness at night, despite the fact that calorie...

In a study investigating how students use their laptop computers in class, researchers recruited 45 students at one university in the Northeast who regularly take their laptops to class. Software was...

Structco Construction Company entered into a long-term construction contract at a fixed contract price of $4,900,000 on September 1, 20x4. Work has proceeded since that time with the following...

Cambridge Hat Company previously purchased 20,000 shares of treasury stock on the open market for $12 per share. Later, the company resells 10,000 shares for $14 per share. What is the journal entry...

XYZ, Inc., just paid a dividend of $4 per share on its stock. The dividends are expected to grow at a constant rate of 5.5 percent per year, indefinitely. Assume investors require a return of 12...