2 Resistors of resistance, R = (100 +- 3) Ohm, R2 = (200+-4)Ohm are connected in Parallel and Series.

Find the absolute error and % error in the measurement of equivalent resistance are in each combinations I.e Series and Parallel.. ??

Answers

Answer 1

The absolute error and % error in the measurement of equivalent resistance are :

Series → 7 Ohm and 2%Parallel → 5 Ohm and 7%

Further explanation

Electrical circuits can generally be divided into two types , i.e :

1. Series Circuit

In series circuit, the electric current flowing on each resistor is always the same as the total current.

To find the total resistances you can use the following formula:

[tex]\large {\boxed {R_s = R_1 + R_2 + R_3 + ...} }[/tex]

2. Parallel Circuit

In parallel circuits, the electrical voltage at each resistor is always the same as the source voltage.

To find the total resistances you can use the following formula:

[tex]\large {\boxed {\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + ...} }[/tex]

Let's tackle the problem now !

Given:

[tex]R_1 = 100 \pm 3 ~ Ohm[/tex]

[tex]R_2 = 200 \pm 4 ~ Ohm[/tex]

Unknown:

Absolute Error = ?

% Error = ?

Solution:

In Series Circuit :

[tex]R_s = R_1 + R_2[/tex]

[tex]R_s = ( 100 \pm 3 ) + ( 200 \pm 4 )[/tex]

[tex]\large {\boxed {R_s = 300 \pm 7 ~ Ohm} }[/tex]

Absolute Error = 7 Ohm% Error = (7/300) x 100% ≈ 2%

In Parallel Circuit :

[tex]\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]

[tex]\frac{1}{R_p} = \frac{R_2}{R_1 ~ R_2} + \frac{R_1}{R_2 ~ R_1}[/tex]

[tex]\frac{1}{R_p} = \frac{R_1 + R_2}{R_1 ~ R_2}[/tex]

[tex]R_p = \frac{R_1 ~ R_2}{R_1 + R_2}[/tex]

[tex]R_p = \frac{100 \times 200}{100 + 200}[/tex]

[tex]R_p = \frac{20000}{300}[/tex]

[tex]R_p = \frac{200}{3} ~ Ohm[/tex]

[tex]R_p \approx 67 ~ Ohm[/tex]

To find the % Error , we will use this following formula :

[tex]\frac{\Delta R_p}{R_p} = \frac{\Delta R_1}{R_1} + \frac{\Delta R_2}{R_2} + \frac{\Delta (R_1 +R_2)}{R_1 + R_2}[/tex]

[tex]\frac{\Delta R_p}{R_p} = \frac{3}{100} + \frac{4}{200} + \frac{7}{300}[/tex]

[tex]\frac{\Delta R_p}{R_p} = \frac{11}{150}[/tex]

[tex]\frac{\Delta R_p}{R_p} = \frac{11}{150} \times 100{\%}[/tex]

[tex]\frac{\Delta R_p}{R_p} \approx 7{\%}[/tex]

[tex]Absolute ~ Error = \Delta R_p[/tex]

[tex]Absolute ~ Error = \frac{11}{150} \times \frac{200}{3}[/tex]

[tex]Absolute ~ Error = \frac{44}{9}[/tex]

[tex]Absolute ~ Error \approx 5 ~ Ohm[/tex]

[tex]\large {\boxed {R_p = 67 \pm 5 ~ Ohm} }[/tex]

Learn moreThe three resistors : https://brainly.com/question/9503202A series circuit : https://brainly.com/question/1518810Compare and contrast a series and parallel circuit : https://brainly.com/question/539204

Answer details

Grade: High School

Subject: Physics

Chapter: Current of Electricity

Keywords: Series , Parallel , Measurement , Absolute , Error , Combination , Resistor , Resistance , Ohm

2 Resistors Of Resistance, R = (100 +- 3) Ohm, R2 = (200+-4)Ohm Are Connected In Parallel And Series.Find

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——

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Kinetic energy of an object is calculated from its mass and velocity. The mass of the player is 61.2 g and the velocity is 3.13 m/s. Then the kinetic energy of the basketball player is 300 J.

What is kinetic energy?

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Hope this helps!

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Cheers!


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Answers

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Explanation:

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It still has a definite temperature.

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The work done by the two campers against frictional force is 4200 Joule.

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Final answer:

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Answers

1.8 mol of Na. hope this helps
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Answers

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Answers

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The kind of wave interaction shown here is reflection.

What is meant by reflection ?

Reflection is the defined as the phenomenon by which a wave bounces back when it his on a medium or a plane.

Here,

The wave is shown as incident on the wall after that it is bounced back from the surface of the wall. Since, the wave is bounced back from the surface, we can say the wave interaction happened here is reflection. The surface of the wall here acts as the reflecting surface.

The wave that incident on the surface of the wall is called the incident wave. The wave that bounced back from the surface is called reflected wave.

If we draw a perpendicular line on the reflecting surface, it can be called the normal.

According to law of reflection, the incident wave, the reflected wave and the normal, all of them lies in the same plane. Here we can see that all of them are on the same plane. So, the law of reflection is valid in this situation.

Also, here only the direction of the wave is changed, which is the property of reflection.

Hence,

The kind of wave interaction shown here is reflection.

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Moreover, any increase in a system's internal energy that does not result in elevation or speed gain could translate to an increase in internal potential energy or internal kinetic energy, or both. An increase in the internal kinetic energy would generally be observed as an increase in temperature, while an increase in internal potential energy might be observed as energy stored within the structural or molecular configuration of the system.

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Assuming that the stone is thrown vertically... let's say it's a 1 kg stone.It doesn't matter if it's thrown upwards or downwards as (assuming no air friction) it will pass the original throwing point with the same downwards velocity as it had upwards, 3 seconds previously. So it starts with 1/2 m v^2 = 0.5 * 1 * 15^2 = 112.5 J of keThen k.e. gained = gpe lostk.e. gained = m g h = 1 * 10 * 50 = 500 J of Ke gainedso the final (total) ke is 612.5 J which = 1/2 m v^2 = 0.5 v^2 here
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A force that holds atoms together is a chemical .

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A force that holds atoms together is a chemical "bond".


Chemical bonds hold atoms together and make brief associations that are fundamental to life. Sorts of chemical bonds including covalent, ionic, and hydrogen bonds and London dispersion forces.  

The chemical bond can be thought of as a power that holds the particles of different components together in such compounds. It opens up the likelihood of a huge number of mixes of the components, and the formation of a large number of new compounds.

Answer:

Therefore, A force that holds atoms together is a chemical bond.

Explanation:

Chemical bond : A chemical bond is a lasting attraction between atoms, ions or molecules that enables the formation of chemical compounds.

Everything in the world around us is made up of atoms, which are tiny pieces of matter. Different atoms stick together to form all kinds of things in the world. A chemical bond is formed when two or more atoms are attracted to each other and form a chemical compound.

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Ionic Bonds

Covalent Bonds

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All solar eclipses are total.
Some solar eclipses are not total.
There can be 12 solar eclipses in a single year.

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Some solar eclipses are not total.
I think the answer is D

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force=mass x acceleration (in their respective units... N=Kg x m/s²

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Answers

Final answer:

The elevator is accelerating downward as the scale reads less than the person's weight. The acceleration of the elevator can be calculated using Newton's second law of motion and is approximately 1.4 m/s² downward.

Explanation:

When a person stands on a scale in an elevator, the scale reading reflects the normal force, which is the force exerted by the scale on the person. If the scale reads 700 N when at rest and only 600 N when the elevator starts to move, it indicates that the elevator is accelerating downward.

This is because the normal force (and thus the scale reading) is less than the person's weight, which would only happen if the force due to acceleration opposes the force of gravity.

For part (b), to find the acceleration of the elevator, we can use Newton's second law of motion. The net force on the person can be calculated by subtracting the scale reading (the normal force) from the person's weight (gravitational force). Let m be the mass of the person and a be the acceleration. We have:

mg - FN = ma

Since mg is the weight (700 N) and FN is the scale reading (600 N):

700 N - 600 N = ma

100 N = ma

Using the given weight of 700 N and the acceleration due to gravity (9.8 m/s2), we find the mass m = 700 N / 9.8 m/s2 = approximately 71.43 kg.

Therefore, the equation becomes:

100 N = 71.43 kg * a

The acceleration a is about 1.4 m/s2 downward.

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