1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kolezko [41]
3 years ago
13

If the current in a circuit is 2 +j2 amps and the resistance is 3-j2 ohms, what is the voltage

Mathematics
1 answer:
victus00 [196]3 years ago
4 0

Answer:

The voltage is 10 + 2j volts.

Step-by-step explanation:

Ohm's first law:

By Ohm's first law, the voltage is the multiplication of the current by the resistance, that is:

V = R*i

The voltage is measured in Volts, the current in amps and the resistance in ohms.

In this question:

Both the current and the resistance have complex parts. We have to know that:

j^{2} = -1

We have that:

R = 3 - 2j, i = 2 + 2j

Then

V = R*i

V = (3 - 2j)*(2 + 2j)

V = 6 + 6j - 4j - 4j^{2}

V = 6 + 2j - 4(-1)

V = 10 + 2j

The voltage is 10 + 2j volts.

You might be interested in
Quadrant:
NISA [10]

<h2>✒️Area Between Curves</h2>

\small\begin{array}{ |c|c} \hline \bold{Area\ Between\ Curves} \\ \\ \textsf{Solving for the intersection of }\rm y = x^2 + 2\textsf{ and }\\ \rm y = 4, \\ \\ \qquad \begin{aligned} \rm y_1 &=\rm y_2 \\ \rm x^2 + 2 &=\rm 4 \\ \rm x^2 &= \rm 2 \\ \rm x &=\rm \pm \sqrt{2} \end{aligned} \\ \\ \textsf{We only need the first quadrant area bounded} \\ \textsf{by the given curves so the integral for the area} \\ \textsf{would then be} \\ \\ \boldsymbol{\displaystyle \rm A = \int_{\ a}^{\ b} {\left( \begin{array}{c}\text{upper} \\ \text{function}\end{array} \right) - \left( \begin{array}{c} \text{lower} \\ \text{function} \end{array} \right)\ dx}} \\ \\ \displaystyle \rm A = \int_{0}^{\sqrt{2}} \Big[4 - (x^2 + 2)\Big]\ dx \\ \\ \displaystyle \rm A = \int_{0}^{\sqrt{2}} (2 - x^2)\ dx \\ \\ \rm A = \left[2x - \dfrac{x^3}{3}\right]_{0}^{\sqrt{2}} \\ \\ \rm A = 2\sqrt{2} - \dfrac{\big(\sqrt{2}\big)^3}{3} \\ \\ \rm A = 2\sqrt{2} - \dfrac{2\sqrt{2}}{3} \\ \\\red{\boxed{\begin{array}{c} \rm A = \dfrac{4\sqrt{2}}{3}\textsf{ sq. units} \\ \textsf{or} \\ \rm A \approx 1.8856\textsf{ sq. units} \end{array}}} \\\\\hline\end{array}

#CarryOnLearning

#BrainlyForTrees

\qquad\qquad\qquad\qquad\qquad\qquad\tt{Monday\:at \: 04-04-2022} \\ \qquad\qquad\qquad\qquad\qquad\qquad\tt{12:10 \: pm}

5 0
2 years ago
Which of these is NOT equivalent to -3
Ira Lisetskai [31]
The think the answer is D.

4 0
2 years ago
Answer choices are:<br> x=20<br> x=22<br> x=10<br> x=11
Vlada [557]
The answer would be 22
6 0
2 years ago
Seven of the Apple computers have specialized movie editing software. Approximately what percent of the Apple computers can be u
kodGreya [7K]

If there are 30 Apple computers and 7 of the computers have a specialized movie editing software, then that would be 23.3333333% of the Apple computers can be used for editing movies.

7/30x100= 700/30

700/30= 23.33%

5 0
3 years ago
Your bookcase contains 3 history book, 5 psychology books, 2 mystery novels and 5 sci-fi books. Assuming each book has an equal
dlinn [17]

5/15

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • 12 pillows were made from 16 yards of fabric. How munch fabric was used to make each pillow? Between what two whole numbers does
    5·1 answer
  • There are 39 chips number from 1 to 39 placed in a barrel one chip is randomly pulled from the barrel what is the probability th
    6·1 answer
  • Find the area of the parallelogram
    14·1 answer
  • jon spends 2/8 of his money on food 1/5 of his money on fuel and 2/10 of his money on clothes Estimate what fraction of his mone
    5·1 answer
  • Which of the following accurately compare 15-√105 and 5?
    8·2 answers
  • (3,4) (3,5) (3,6) y as a function of x
    15·1 answer
  • The area of a rectangular field is 5695 m².
    10·1 answer
  • PLZ ANSWER BOTH QUESTIONS
    5·1 answer
  • Plz help due tomorrow if correct ill give brailiest
    9·2 answers
  • the amount of food a dog should eat depends on the weight of the dog. 1. identify the independent and dependent variables in thi
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!