apply kcl and use phasors to determine i1 , knowing that is = 20 cos(ωt 60◦ ) ma, i2 = 6 cos(ωt − 30◦ ) ma

Answers

Answer 1

The value of i1 is 22.95 ∠71.57° mA using KCL and phasors.

To determine i1 using KCL and phasors, we need to consider the currents i1 and i2 entering a common node.

First, we need to convert the given sinusoidal currents to phasor form. We can do this by expressing each current as a complex number with a magnitude and phase angle.

For i1, we have

i1 = 20 cos(ωt + 60°) mA

= 20 ∠60° mA

For i2, we have

i2 = 6 cos(ωt - 30°) mA

= 6 ∠(-30°) mA

Now, we can apply KCL to the node to find i1. KCL states that the sum of currents entering a node must equal the sum of currents leaving the node. Therefore

i1 + i2 = is

Substituting in the phasor forms of i1 and i2, we get

20 ∠60° + 6 ∠(-30°) = is

To solve for i1, we can rearrange the equation

i1 = is - i2

= 20 ∠60° - 6 ∠(-30°)

= 20 ∠60° + 6 ∠150°

= 22.95 ∠71.57° mA

Therefore, i1 is 22.95 ∠71.57° mA.

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Related Questions

What is the symbol for Sodium?
Na
S

Answers

Sodium element symbol is Na

Karla is reading about a type of single-celled microorganism that can live inside the human body. This type of organism can either be harmful or harmless to people, depending on the type. One harmless type lives in the intestines and helps the body digest food. One harmful type can cause strep throat. Which type of organism is Karla most likely reading about?
A bacteria
B fungi
C parasites
D viruses
please help

Answers

Answer:

its bacteria

Explanation:

Single-celled organisms can directly take in nutrients from their outside ... Figure 1. The digestive systems of representative animals. Images from ... There are two types of animal body plans as well as two locations fordigestion to occur

Answer:

A bacteria

Explanation:

i did it LOL

changing the number of _______ makes an atom stable or unstable and creates different isotopes of the same element with a different ______ (pick two that best fits.)
a.) atomic mass
b.) atomic number
c.) protons
d.)neutrons
e.)electrons
f.) ion
g.)neutral

Answers

changing the number of NEUTRONS makes an atom stable or unstable and creates different isotopes of the same element with a different ATOMIC MASS

The neutrons are the neutral sub-atomic particles present in the nucleus. The variation in the number of neutrons produces isotopes that have different atomic mass. Thus, options 1. d and 2. a are correct.

What is an isotope?

An isotope is said to be an atom of an element that have a different atomic mass but the same atomic number due to the variation in the neutrons in the nucleus. The neutrons have a neutral charge that makes the atom stable.

When a neutron is added or lost it makes the nucleus of the atom unstable leading to radioactive decay. The isotopes have the same constant number of protons in their nucleus.

The atomic number of the atom remains the same due to the stable proton number but varies the atomic mass due to the change in the number of neutrons.

Therefore, options d and a. neutrons and atomic mass are the correct blanks.

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Na on the periodic table is the symbol for what?

Answers

Answer:

sodium

Explanation:

Na is the symbol for sodium on the periodic table

Answer: Sodium is a chemical element with the symbol Na (from Latin "natrium") and atomic number 11. It is a soft, silvery-white, highly reactive metal. Sodium is an alkali metal, being in group 1 of the periodic table. Its only stable isotope is 23 Na.

Explanation:

Complete the sentence. Atoms form chemical bonds to satisfy the rule and to become Å Done Intro -​

Answers

Answer:

Sorry

Explanation:

I m very sorry I don't know this

Plants absorb water in the soil through their roots and pump this water up to deliver
nutrients to their leaves. This pumping is driven by the evaporation of water through
small pores on the undersides of leaves. What is this process called?
A)germination
B)pollination
C)respiration
D)transpiration

Answers

It is transpiration.

What conclusion can be drawn from the fact that water can decompose into oxygen and hydrogen?​

Answers

Answer:

hydrogen is collected at negative chose and oxygen is collected at positive anode. Hydrogen is double in volume than oxygen. 2H2O = 2H2 + O2.

Explanation:

and GAMER PHROG

how many molecules are there in 1.5 mol of methane

Answers

Answer: A mole of something means that there are 6.02 X 10^23 of that something. So, a mole of methane molecules is 6.02 X 10^23 methane molecules. So, 1.5 moles of methane will contain 1.5*(6.02 X 10^23) = 9.0 X 10^23 methane molecules

Explanation:

Predict the approximate molecular geometry of a formaldehyde molecule:

Answers

Answer:

trigonal planar geometry

Explanation:

The molecule, formaldehyde , has three regions of electron density around the molecule. The carbon atom is the central atom in the molecule of formaldehyde.

Recall that each bond around the central carbon atom in formaldehyde- both single and double are counted as a single region of electron density. Molecules having three regions of electron density around the central atom have a trigonal planar geometry.

As a team, determine the rules for naming binary ionic compounds that have a "special" transition metal in it when given the formula.

Answers

Answer:

Metal name (charge in roman numerals) Non metal

for example Iron (III) chloride

Explanation:

The rule for naming special transition metal are as follows -

a) First name the transition metal

b) Now write the name of the non metal in the chemical formula.

c) Write the charge for the non metal.

d) If there is a polyatomic ion, write the Common Ion Table ,its formula and charge.

e) Based on the total charge on the non-metal or polyatomic ion, deduce the total charge on the transition metal

f) Write the charge of transition metal after the name of metal in Roman Numeral in parentheses

SCIENCE
Does combustion need oxygen?

A. Yes
B. No

Answers

Answer: a. Yes

Explanation:

Answer:

A. yes

Explanation:

In order to burn this fuel, oxygen is needed, as it is with any fire. The waste products from the combustion process are water and carbon dioxide. Thus, we breathe because oxygen is needed to burn the fuel (sugars and fatty acids) in our cells to produce energy The air we breathe contains about 21% oxygen.

Which changes would cause an increase in the resistance of a wire? Check all that apply.
increasing its temperature
decreasing its temperature
using a longer wire
using a shorter wire
m using a thicker wire
using a thinner wire

Answers

Answer:

Increasing its temperature.

Longer

and thinner

Explanation:

e2021

The resistance of a wire increases by increasing its temperature, using a longer wire and using a thinner wire.

Resistivity of a wire

The resistivity of wire describes the opposition to the flow of current in the wire.

[tex]R = \frac{\rho L}{A} \\\\\rho = \frac{RA}{L} \ (ohm-meter)[/tex]

where;

R is the resistance (ohms)ρ is resistivity of the wire (ohm-meter)L is length of the wire (m)A is area of the wire (m²)

From the formula above, the resistance of a wire increases with

increase in the length of the wiredecrease in thickness (radius) of the wireincrease in temperature

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Al +CI = Al CI3
how do i solve this

Answers

There has to be a small 2 at the bottom right of Cl (sorry I cannot write 2 under Cl as a small number, but I hope you understand what I mean):

Al + Cl2 —> AlCl3

If you are requesting for it to be balanced, it would be:

2 Al + 3 Cl2 —> 2 AlCl3

O1S. Answer the following questions using Boyle's law:
a. A gas at 1.00 atm occupies 5.00 L. What would be the pres
sure with the volume at 10.0 L if the temperature remains
constant?
we have recent

Answers

Answer: 0.5 atm

Explanation:

you would want to use Boyles law which is P1P2=P2V2

or in this case, 1.00atm x 5.00L=P2 x 10.0L

                       1.00x5.00/10.00= 0.50atm

If one DNA strand reads CCGTAATGCAT, what will be the sequence of the complimentary strand?

Answers

Answer:

GGCATTACGTA

Explanation:

Complimentary pairs are G-C and A-T

Which federal agency makes sure federal wildlife laws are followed?

US Forest Service
US Fish and Wildlife Service
Bureau of Land Management
National Park Service

Answers

Answer:

us fish and wildlife service

Explanation:

the 2nd choice

Answer:

US Fish and Wildlife Service

calculate 28.1g of silicon to moles

Answers

Answer:

2.53•10^23 atoms

Explanation:

23 is the exponent btw

please help!!! will give brainliest!!! 30 points! (need to put roman numeral in answer)

Answers

1. Nickel (II) Bromide

2. Iron (II) Oxide

3. Iron (III) Oxide

4. Tin (IV) Chloride

5. Lead (IV) tetrachloride

6. Tin (II) Bromide

7. Chromium (III) Phosphide

8. Iron (II) Fluoride

9. Gold (III) Chloride

I hope this helps. I'm more than 100% sure that all the answers except for number 7 are correct. I knew all of them off the top of my head except for this one. I hope the other answer has the correct answer for that one. Good luck and have a great day.

For the rxn CaCo3(s)+2Hcl(aq)_CaCl(aq)+Ca2(g)+H2O(l)68.1 g solid CaCo3 is mixed with 51.6Hcl what number of grams of Co2 will be produced

Answers

Answer:

29.9 g of CO₂ will be produced by the reaction.

Explanation:

This is the reaction:

CaCO₃(s)  + 2HCl (aq)  →  CaCl₂(aq)  + CO₂(g) +  H₂O(l)

First of all, we state the moles of each reactant:

68.1 g . 1mol/ 100.08g = 0.680 mol of carbonate

51.6 g . 1 mol/36.45g = 1.46 mol of acid.

The solid salt is the limiting reactant. Ratio is 2:1

2 moles of acid can react to 1 mol of salt

1.46 mol of acid may react with (1.46 . 1)/2 = 0.727 moles

As we only have 0.680 moles of salt, we do not have enough.

Let's work at the product side. Ratio is 1:1

1 mo of salt can produce 1 mol of gas

0.680 moles will produce 0.680 moles of gas

We convert the moles to mass → 0.680 mol . 44g / 1mol = 29.9 g of CO₂

The number of grams of Co2 should be produced is 29.9 g.

Calculation of the number of grams:

Since

CaCO₃(s)  + 2HCl (aq)  →  CaCl₂(aq)  + CO₂(g) +  H₂O(l)

So,

68.1 g . 1mol/ 100.08g = 0.680 mol of carbonate

51.6 g . 1 mol/36.45g = 1.46 mol of acid.

Now the ratio should be 2:1 for the solid salt

And, there is 2 moles of acid can react to 1 mol of salt

So,

1.46 mol of acid may react with (1.46 . 1)/2 = 0.727 moles

Now the product side the ratio is 1:1

So, that means

1 mo of salt can produce 1 mol of gas

So, the no of grams should be

= 0.680 mol . 44g / 1mol

= 29.9 g of CO₂

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No attempt was made to test sodium with hydrochloric
acid. Why not?

Answers

Answer:

the reaction is violent and quick

Explanation:

The desert climate or arid climate, is a climate which there is an excess of evaporation over precipitation. During the days, the temperatures are very high and dry. During nightfall, temperatures drop dramatically and it gets very cold. In three to four sentences, describe one plant and one animal that you would expect to find in the arid biome. Support your answer with the abiotic factors in the biome. *

Answers

These desert dwelling, nocturnal creatures are very tough and low maintenance. Scorpions' exoskeletons and venomous stingers give them great protection, and their low food and water needs and ability to slow down their metabolism allow them to survive in the harshest environments.

explain why dilute trioxosulphate vi acid is not used to prepare carbon 4 oxide from calcium
trioxocarbonate 4​

Answers

Answer:

H2SO4 cannot be used with CaCO3 to produce CO2 gas

Explanation:

Because it does not dissolve in water- it forms a barrier on the surface of the unreacted CaCO3 which prevents any further reaction. A small volume CO2 is produced, this stops in short time.

I hope this helps :)

1. Which word has the same phoneme as grew, rude, and truth?
A. thumb
B. sure
C. look
D. scoot

Answers

Answer:

B-Sorry if this isn't right :/ Good luck.

Explanation:

Answer:

D. Scoot

Explanation:

Grew, Rude and truth all have the sound /OO/ scoot follows that pattern.

Name the element which has twice the number of electrons in its second shell as in the first shell write it's electronic configuration also.​

Answers

CARBON! :) it’s the 6th element

name three layers of our skin ​

Answers

Slim blood cess sherm ham
It is made up of three layers, the epidermis, dermis, and the hypodermis, all three of which vary significantly in their anatomy and function. The skin's structure is made up of an intricate network which serves as the body's initial barrier against pathogens, UV light, and chemicals, and mechanical injury.

The yellow light given off by a sodium vapor lamp has a wavelength of 589nm. What is the frequency of this radiation? Please show all work.

Answers

Answer:

5.09 x 10⁶ s⁻¹ = 5.09 x 10⁶ Hz

Explanation:

The relation between frequency (ν) and wavelength (λ) is given by:

λ = c/ν

where c is the speed of light (2.998 m/s) and it is a constant.

So, we first convert the wavelength from nanometers (nm) to meters (m) (1 nm = 1 x 10⁻⁹):

λ= 589 nm x (10⁻⁹ nm/1 m) = 5.89 x 10⁻⁷ m

Then, we calculate the frequency from the equation:

λ = c/ν ⇒ ν = c/λ = (2.998 m/s)/(5.89 x 10⁻⁷ m) = 5.09 x 10⁶s⁻¹ = 5.09 x 10⁶ Hz

Describe the arrangement and motion of the particles in liquid stearic acid.

Answers

In liquids, particles are quite close together and move with random motion throughout the container. Particles move rapidly in all directions but collide with each other more frequently than in gases due to shorter distances between particles.

Answer:

Its density is exactly the same as that of pure stearic acid. Its boiling point is the same as that of pure stearic acid. Its melting point is different from pure stearic acid.

Which type of model is described below? A scientist thinks of the inside of a tree as being like a giant straw that can suck up water A. Atomic model B. Physical model C. Mathematical model D. Conceptual model​

Answers

Answer:

B. Physical model

Explanation:

Out of the four of them this is the one that makes the most sense

(iii) Observe the following diagram and answer the following questions :
X Х
Y
(A) Identify elements X and Y.
(B) Do these elements belong to the same group?
(C) Which element is more electropositive in nature? Why?​

Answers

Ghhfcnjjakwhwbebsiiwuehebsjudyehebwklwiwgehebwkwkkehehrbwkeiehegenkeiehehenekeurhrh

Drag each label to the correct location.
We use specific words to describe each type of change in state. Label the arrows to describe the changes of state they
represent
gas
liquid
solid
melting freezing condensation
evaporation sublimation
deposition

Answers

liquid —> gas = evaporation
solid —> liquid = melting
liquid —> solid = freezing
solid —> gas = sublimation
gas —> liquid = condensation
gas —> solid = deposition
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