Solve the circuit shown in the figure above, also explain how you did it

Solve The Circuit Shown In The Figure Above, Also Explain How You Did It

Answers

Answer 1

Answer:

Explanation:

Using Kirchhoff's laws, we can solve for the current i:

At the node where the 2Ω and 4Ω resistors meet, the current is split into two branches, i and i1. Applying Kirchhoff's current law (KCL), we have:

i + i1 = 12/2 = 6 A

At the loop with the 2Ω, 4Ω, and 5Ω resistors, applying Kirchhoff's voltage law (KVL), we have:

-20 + 2i + 4i1 + 5i1 = 0

-20 + 6i1 + 2i = 0

6i1 + 2i = 20

3i1 + i = 10

We can solve this system of equations by substitution, which gives:

i = 2 A

Therefore, the current through the 2Ω resistor is 2 A. The answer is (A) 2 A.


Related Questions

basic behavior: according to your data, does this resistance increase or decrease with voltage? a reasonable (and correct) thought is that the impact is really with temperature, as the light bulb heats up with more power going into it. how does your data imply resistance varies with temperature?

Answers

Based on the given question, the resistance will: increase with the increase in voltage.

The reason behind this is that resistance and voltage have a direct relationship. As the voltage increases, the resistance also increases. This can be explained by Ohm’s Law which states that V= IR where V is voltage, I is current and R is resistance. As per the second part of the question, it is implied that the resistance varies with temperature.

The resistance of any material depends upon temperature, and a rise in temperature increases the resistance of the material. The light bulb acts as a resistor, and its resistance will increase as the temperature increases due to an increase in the temperature of the filament of the bulb.

The resistance is directly proportional to the temperature of the bulb, and it is represented by the equation

R = R₀ (1 + αt),

where R is resistance, R₀ is the resistance at a particular temperature, α is the temperature coefficient of resistance, and t is the temperature difference in Celsius.

Therefore, based on the data provided, it can be concluded that resistance increases with the increase in temperature which results in the heating of the light bulb, which is a resistor.

To know more about resistance refer here:

https://brainly.com/question/29427458#

#SPJ11

charge q1 is distance s from the negative plate of a parallel-plate capacitor. charge is distance 2s from the negative plate. what is the ratio of their potential energies?

Answers

The electric potential energy, U, of two point charges is given by the equation, U = kq1q2/r where k is Coulomb's constant, q1 and q2 are the charges and r is the distance between the two charges. Now, let's solve the question using this equation. There are two charges, q1 and q2, and a parallel plate capacitor between them. The distance of q1 from the negative plate is s, and the distance of q2 from the negative plate is 2s. The charges have the same magnitude of charge, so let's assume q1 = q2 = q. Using the formula mentioned earlier, we get U1= kq^2/sU2= kq^2/2s. Therefore, the ratio of their potential energies is U2/U1= kq^2/2s / kq^2/sU2/U1= (kq^2/2s) × (s/kq^2)U2/U1= 1/2.

Therefore, the ratio of their potential energies is 1:2.

For more information regarding this topic, you can click the below link

https://brainly.com/question/14306881

#SPJ11

what's the correct answer. ​

Answers

The coordinated functions of the Nervous, Endocrine, and Reproductive systems are:

D. CerebrumN. Wernicke's AreaF. Occipital LobeH. HypothalamusJ. ThalamusH. HypothalamusC. CerebellumL. Superior ColliculusA. AmygdalaM. Pineal Gland

What are coordinated functions?

Coordinated functions refer to the integration and communication between different organs, systems, and tissues in the body to achieve a common goal or purpose. In biological terms, coordinated functions often involve multiple physiological systems working together to maintain homeostasis, respond to stimuli, or carry out complex behaviors or processes.

Examples of coordinated functions include the regulation of blood glucose levels by the pancreas and liver, the coordination of movement by the nervous and musculoskeletal systems, and the release of hormones by the endocrine system to control various physiological processes.

Learn more on coordinated functions here: https://brainly.com/question/15686131

#SPJ1

The question is:

"COORDINATED FUNCTIONS OF THE NERVOUS, ENDOCRINE, AND REPRODUCTIVE SYSTEMS"

Directions: Identify the part of the brain that is involved in each situation below. Write only the letter of your answer.

A. Amygdala

B. Brocka's Area

C. Cerebellum

D. Cerebrum

E. Hippocampus

F. Occipital Lobe

G. Hippocampus

H. Hypothalamus

I. Inferior Colliculus.

J. Thalamus

K. Pons

L Superior Colliculus

M. Pineal Gland

N. Wernicke's Area

O. Pituitary Gland

1. "My heart tells me that you are the one. I love you so much!"

2. "IAOCEVOY! I don't know what that means. It's all Greek to me!"

3. "Chartreuse, Olive,Turquoise, and Mint are all shades of green."

4. "Janna always wakes up at 4 in the morning, regardless of whether she uses an alarm clock or not."

5. "I don't remember the way going to Myla's house. Can you accompany me there?"

6. Jenny's mother is about to give birth, she complains about contraction and pain usually when the baby is kicking

7. "Anthony is a very skilled dancer. He just won the school hip hop dance competition last week."

8. "As Nica was walking on the road she readily moved to the side for she heard an incoming ambulance"

9. "Elsa loves making faces whenever she talks to her friends."

10. "Ryan usually talks about how happy his high school days were to his grandchildren."

When Joselyn went to the store she bought 2.7kg of salt water taffy. What would Joselyn do to find out how many grams she bought?A. Divide by 1000B. Multiply by 1000C. Divide by 100D. Multiply by 100

Answers

At the shop, Joselyn purchased 2700 grammes of salt water taffy.

To convert kilograms (kg) to grams (g), Joselyn would need to multiply the weight in kilograms by 1000. This is because there are 1000 grams in 1 kilogram. Therefore, to find out how many grams of salt water taffy Joselyn bought, she would need to multiply 2.7kg by 1000.

The correct answer is (B) Multiply by 1000.

Multiplying 2.7kg by 1000 gives:

2.7kg x 1000 = 2700g

So Joselyn bought 2700 grams of salt water taffy at the store.

To learn more about salt water refer to:

brainly.com/question/6829606

#SPJ4

as noted in this chapter, plants help to reduce water runoff and soil erosion, both of which affect the health of streams and rivers by impacting water quality. soil erosion increases the silt load in water and this literally smothers living organisms, particularly plants and invertebrate species. runoff water can carry pollutants, particularly pesticides and herbicides from agricultural land. read the description of each landscape and rank them from best stream quality to worst stream quality. 1: streams cutting through small farms with several different crop types and natural vegetation buffers between the fields and the streams. 2: a large floodplain area covered with lowland forests and swamps full of emergent vegetation, with small streams cutting through the area. 3: an urban housing development where the trees growing along the streams were removed and replaced with lawns. 4: a system of large farms with no buffer vegetation between the fields and the streams that cut through the farms. question list (4 items) (drag and drop into the appropriate area) landscape 1 landscape 2 landscape 3 landscape 4 correct answer list best stream quality

Answers


Plants help to reduce water runoff and soil erosion, both of which affect the health of streams and rivers by impacting water quality.

Soil erosion increases the silt load in the water, which can smother living organisms, particularly plants and invertebrate species. Runoff water can carry pollutants, particularly pesticides, and herbicides from agricultural land.

Landscape 1 (streams cutting through small farms with a variety of crop types and natural vegetation buffers between the fields and the streams) would be the best quality, followed by Landscape 2 (a large floodplain area covered in lowland forests and swamps full of emergent vegetation, with small streams cutting through the area) and Landscape 3 (an urban housing development where the streams are surrounded by emergent vegetation).

Learn more about water quality at  brainly.com/question/20848502

#SPJ11

the surface of the sun appears sharp in visible light because

Answers

"The surface of the sun appears sharp in visible light because the photosphere is thin compared to the other layers in the sun."

Most of the electromagnetic energy that reaches the earth begins in the photosphere, the area of the sun that is visible to us. The photosphere is referred to as the sun's surface, despite the fact that it is a gaseous entity.

The gas in the photosphere appears to have a sharp surface, but in reality, it is heavier lower in the Sun and less dense higher up. It is more transparent the less thick it is. The area of the gas that is visible to us is where it has largely become translucent. About 300 km of this layer are deep.

The photosphere is the line separating the core of the Sun from its atmosphere. It is the part of the Sun's surface that is visible to us. The photosphere is not like a planet's surface; even if you could stand in the sun, you couldn't do so on the photosphere.

To know more about Sun:

https://brainly.com/question/12498469

#SPJ4

in one cycle a heat engine absorbs 480 j from a high-temperature reservoir and expels 320 j to a low-temperature reservoir. if the efficiency of this engine is 56% of the efficiency of a carnot engine, what is the ratio of the low temperature to the high temperature in the carnot engine?

Answers

The ratio of the low temperature to high temperature of the Carnot engine is 2.38.

What is the efficiency of Carnot engine?

The efficiency of the Carnot engine can be defined as the ratio of network done per cycle by the engine to the heat energy absorbed by the engine per cycle by the working substance from the source.


Efficiency = 1 - (Tlow/Thigh)


Heat absorbed by engine = 480J

Heat expelled by engine = 320J

Efficiency of the engine = 56% of efficiency of Carnot engine

The ratio of low temperature to high temperature in the Carnot engine.

Let's assume the efficiency of the Carnot engine is 'ηc' = 1 - T₂/T₁

Where, T₂ = Low temperature and T₁ = High temperature

To calculate the efficiency of the engine given, η = (Q1 - Q2)/Q1

η = (480 - 320)/480

η = 160/480

η = 1/3

η = 33.33%

Now, η = 56% × ηc

0.56ηc = 1/3ηc = (1/3)/0.56 = 0.58

As we already know, ηc = 1 - T₂/T₁

T₂/T₁ = 1 - ηc

T₂/T₁ = 1 - 0.58

T₂/T₁ = 0.42

T₁/T₂ = 1/0.42

T₁/T₂ = 2.38

Therefore, the ratio of low temperature to high temperature in the given Carnot engine with an efficiency of 56% will be about 2.38.

Learn more about Carnot engine here:

https://brainly.com/question/14680478


#SPJ11

for a given mass of gas at constant temperature, the volume of the gas varies inversely with pressure.a. 3Pb. P/3c. 3P/Td. 9P

Answers

The volume of the gas varies inversely with pressure, and the correct answer is (b) P/3.

According to Boyle's Law, at a constant temperature, the volume of a gas is inversely proportional to its pressure. Mathematically, this can be expressed as:

PV = k

where P is the pressure of the gas, V is its volume, and k is a constant.

If we assume that the mass of the gas remains constant, then k is also constant. So we can write:

[tex]P_1V_1 = k and P_2V_2 = k[/tex]

where[tex]P_1 and V_1[/tex] are the initial pressure and volume, and [tex]P_2 and V_2[/tex] are the final pressure and volume.

If we divide these two equations, we get:

[tex]P_1V_1/P_2V_2 = 1[/tex]

Since[tex]V_1[/tex] is inversely proportional to [tex]P_1[/tex], we can write:

[tex]V_1 = k/P_1[/tex]

Similarly, [tex]V_2 = k/P_2.[/tex]

Substituting these values in the above equation, we get:

[tex](k/P_1)/(k/P_2) = 1[/tex]

Simplifying this, we get:

[tex]P_2/P_1 = V_1/V_2[/tex]

Since we are given that the temperature remains constant, we can assume that k is constant, and therefore:

[tex]V_1/P_1 = V_2/P_2[/tex]

If we let [tex]P_2 = 3P_1[/tex], then we get:

[tex]V_1/P_1 = V_2/(3P_1)[/tex]

Simplifying this, we get:

[tex]V_1/V_2 = 1/3[/tex]

for such more question on volume

https://brainly.com/question/14197390

#SPJ11

Other Questions
Convert each number to scientific notation and perform the indicated operations. Express the result in ordinary decimal notation. besides using existing graphics, what is one other approach to procuring graphics, according to chapter 8? Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z < 0.79) = 5 ? (b) P(Z > 0.75) (c) P(-1.06 < Z< 2.17) = what is juliet prepared to do rather than marry paris? what was the primary purpose of the neutrality acts passed by the united states during the 1930s? change these fractions to decimals 1/35 public class RowvColumn{public static void main(String[] args){/**This program compares the run-time between row-major and column major* ordering.*///creating a 2d Arrayint[][] twoD = new int[5000][5000];long start = System.currentTimeMillis();for (int row = 0 ; row < twoD.length; row++){for (int col = 0; col < twoD[row].length; col++){twoD[row][col] = row + col;}}long mid = System.currentTimeMillis();for (int row = 0; row < twoD.length; row++){for (int col = 0; col < twoD[row].length; col++){twoD[col][row] = row + col;}}long end = System.currentTimeMillis();System.out.println("Speed to traverse Row-Major (Milliseconds): " + (mid - start));System.out.println("Speed to traverse Column-Major (Milliseconds): " + (end-mid));}}Using the example code from Row vs. Column Major, answer the following questions in complete sentences:Is Row-Major or Column-Major order faster? Why do you think that is. Please explain using execution counts.In what scenario would you use Row-Major ordering when traversing a 2D array? In what scenario would you use Column-Major ordering? please select the aoii shorthand term that matches the definition. a member who previously served as an international president A self fulfilling prophecy is a example of which motivational theory Find the interest refund on a 35-month loan with interest of $2,802 if the loan is paid in full with 13 months remaining. Using the two-key encryption method for authentication, we need to be careful about how the keys are used. Select all correct answers regarding key usage in authentication from the list below.Public key management is very important because we use public keys to authenticate others in conducting e-business.Only the pair of one user's two keys is used for encryption and decryption. An example of an expatriate is aA. person born in the United States and currently a Japanese citizen working in Japan.B. person born in Germany but currently a U.S.citizen working in the United States.C. Japanese citizen working in Japan for a Japanese firm.D. U.S. citizen working for a Japanese firm in the United States.E. U.S. citizen working for a U.S. firm in Germany when firms outsource software work outside their national borders, this practice is called __________. Find the value of x. A disk is rotating at 2 rev/sec. The disk has a moment of inertia of 25 kg m2. If an identical, non-rotating disk, which has a moment of inertia exactly as large, is dropped onto the rotating disk, what will be the new rotational speed of the combined rotating object? Does someone mind helping me with this problem? Thank you! At which values in the interval [0, 2) will the functions f (x) = 2cos2 and g(x) = 1 4cos 2cos2 intersect?a: theta equals pi over 3 comma 4 times pi over 3b: theta equals pi over 3 comma 5 times pi over 3c: theta equals 2 times pi over 3 comma 4 times pi over 3d: theta equals 2 times pi over 3 comma 5 times pi over 3 Write the equation of a line that is perpendicular to y=x - 9 and passes through the point (3, -2). chapter 3 the combination of (relatively) stable physical, behavioral, and mental characteristics that give individuals their unique identities are known as values. true or false Find an expression for the oscillation frequency of an electric dipole of dipole moment P and rotational inertia I for small amplitudes of oscillation about its equilibrium position in a uniform electric field of magnitude E.