A wire of resistance R is cut into ten equal parts which are then connected in parallel. The equivalent resistance of the combination is

Answers

Answer 1

Answer:

The equivalent resistance of the combination is R/100

Explanation:

Parallel Connection of Resistances

If resistances R1, R2, R3,...., Rn are connected in parallel, the equivalent resistance is calculated as follows:

[tex]\displaystyle \frac{1}{R_e}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+...+\frac{1}{R_n}[/tex]

The electric resistance of a wire is directly proportional to its length. If a wire of resistance R is cut into 10 equal parts, then each part has a resistance of R/10.

It's known the 10 parts or resistance R/10 were connected in parallel, thus the electric resistance is:

[tex]\displaystyle \frac{1}{R_e}=\frac{1}{R/10}+\frac{1}{R/10}+\frac{1}{R/10}+...+\frac{1}{R/10}[/tex]

Note the sum consists of 10 equal terms. Operating on each term:

[tex]\displaystyle \frac{1}{R_e}=\frac{10}{R}+\frac{10}{R}+\frac{10}{R}+...+\frac{10}{R}[/tex]

The sum of 10 identical fractions yields 10 times each fraction:

[tex]\displaystyle \frac{1}{R_e}=10\frac{10}{R}=\frac{100}{R}[/tex]

Solving for Re needs to take the reciprocal of both sides of the equation:

[tex]R_e=R/100[/tex]

The equivalent resistance of the combination is R/100


Related Questions

How do I find the change in velocity of a hockey puck?
Mass=0.1697 kg btw

Answers

Answer:The foot exerts a force on the ball during a well-defined

duration t (time extent of the contact)

Explanation:

Which formula is used to calculate the mass of an object if the force and acceleration are known?

Answers

Answer:

m=F/a so the second one

force÷ by acceleration

A tractor trailer truck traveling at a speed of 105 feet/second skids to a stop in 12 seconds. Determine the skidding distance of the truck.
Please help.​

Answers

Answer:

1260ft

Explanation:

Given parameters:

Speed  = 105ft/s

Time  = 12s

Unknown:

Skidding distance of the truck  = ?

Solution:

To solve this problem:

       Distance  = speed x time

Now insert the parameters and solve;

  Distance  = 105 x 12  = 1260ft

why do prescribed drugs need to be prescribed by doctors what can happen if you abuse these drugs without a pressure?

Answers

Answer:

unperscriebed drugs can e harmful to your body

Explanation:

When a cricket ball is thrown vertically upwards, it reaches a maximum height of 15 metres. (a) What was the initial speed of the ball ? (b) How much time is taken by the ball to reach the highest point ? (g=10 ms -2

Answers

Answer:

The velocity of the cricket ball is 17.32 m/s

Time is taken by the ball to reach the highest point = 0.8660 seconds

Explanation:

The cricket ball can be seen and treated as a projectile in this case

The maximum height attained by a projectile in motion can be calculated using the formula:

[tex]h = \frac{v^2 sin^2 \theta }{2g}[/tex]

In any projectile problem, once we know see that the object was released vertically upwards, we need to know that this means that the angle of projection is 90 degrees, and sin 90 is = 1

hence, h will be modified to become

[tex]h = \frac{v^2 }{2g}[/tex]

[tex]v = \sqrt{2gh}[/tex]

We are given that h = 15m and g = 10m/s2

[tex]v = \sqrt{2 \times 10 \times 15} = 17.32m/s[/tex]

The velocity of the cricket ball is 17.32 m/s

B. We can get the time it took to reach the highest point by dividing

time = distance/speed

Time = 15/17.32 = 0.8660 seconds

Pls Solve this!!!Im giving 20 points and Brainliest to the one who answers first. HELP ME PLEASE!!!!!!!!

Answers

Answer:

i) 2Mg + O₂ + Δ Heat → 2MgO + Δ Energy

ii) The aqueous solution does not change in the color of the blue litmus paper and the blue litmus paper remains blue in color

The aqueous solution formed using the product (MgO) turns the red litmus paper blue

Explanation:

i) Magnesium easily burns in air or oxygen when heated to form a white powder of magnesium oxide. The burning (reaction) of magnesium in air is an exothermic reaction that involves the release of heat and light

The burning of magnesium wire is given by the following chemical reaction;

2Mg + O₂ + Δ Heat → 2MgO + Δ Energy

ii) When magnesium oxide is mixed with water if forms magnesium hydroxide Mg(OH)₂ as shown in the following chemical reaction;

MgO + H₂O → Mg(OH)₂

Magnesium hydroxide is basic and therefore it will turn red litmus paper blue and it does not change the color of the blue litmus paper.

n which order did the events forming our solar system occur?

The solar nebula became hot and dense pulling in more gas.This flattened into a rotating disk. It spun faster and faster, forming the Sun.
Gas was pulled toward the center, forming the Sun. Gas flattened into a rotating disk and became hot and dense, forming a solar nebula that spun faster and faster.
Gas flattened into a rotating disk and became hot and dense, forming a solar nebula that spun faster and faster. Gas was pulled toward the center, forming the Sun.
The solar nebula spun faster and faster and flattened into a rotating disk. Most of the gas was pulled toward the center, where it became hot and dense, forming the Sun.

Answers

Answer:

The solar nebula became hot and dense because of that it pulling in more gas. This flattened into a rotating disk. It  spun  faster and faster, forming the Sun.

Explanation:

hope this helps

The solar nebula became hot and dense because of that it pulling in more gas. This flattened into a rotating disk. It  spun  faster and faster, forming the Sun. This order did the events forming our solar system occur.

What is Solar nebula ?

In the so-called nebular hypothesis of the genesis of the solar system, the Sun and planets originated by condensation from a gaseous cloud. In 1734, Swedish philosopher Emanuel Swedenborg claimed that the planets arose from a nebular crust that enveloped the Sun before breaking apart. Immanuel Kant, a German philosopher, proposed in 1755 that the Sun and planets were created by a slow rotating nebula that was eventually pushed together by its own gravitational force and flattened into a spinning disc. In 1796, the French astronomer and mathematician Pierre-Simon Laplace presented a similar concept, but with the planets forming before the Sun. The Kant-Laplace theories were criticised by the British physicist James Clerk in the late nineteenth century.

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What are the types of motion that can be observed in a pendulum ? Some one please answer.√

Answers

Answer:

periodic motion

Explanation:

The massive object is affectionately referred to as the pendulum bob. When the bob is displaced from equilibrium and then released, it begins its back and forth vibration about its fixed equilibrium position. The motion is regular and repeating, an example of periodic motion.

A 1000 kg car’s velocity increases from 5 m/s to 10 m/s. What is the change to the car’s kinetic energy? Show your work.

Answers

Answer:

k. e. = 1/2 mv^2

1/2 * 1000 * (5)^2

1/2 * 1000 * 25

12500 joules

k. e. = 1/2 mv^2

1/2 * 1000 * (10)^2

1/2 * 1000 * 100

50000

change in k. e. = final - initial

50000 - 12500

= 37500 joules

hope it helps you

Calculate the Net force from the above Freebody diagram and data table.

Answers

answer 4

Explanation:

2 Which of the following effectively summarizes paragraph 2?
A The orientation in space, relative to the Sun, is the cause
of Earth's seasonal changes.
1
B There is an imaginary pole running through the center of
Earth from the North Pole to the South Pole, which is called
an axis.
C We also learned that Earth's axis is tilted 23.5
degrees from the perpendicular of the plane of the
ecliptic.
D The northern hemisphere has more daylight hours.

Answers

Answer:B

Explanation:

The statement that summarizes the paragraph is northern hemisphere has more daylight hours.

What is Earth?

The Earth is part of the nine planet and it comprises of the equator, northern and southern hemisphere.

It is the most suitable place for living because it have water,oxygen and other gases that support life.

Therefore, The statement that summarizes the paragraph is northern hemisphere has more daylight hours.

Learn more about Earth below.

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What is the momentum of a two-particle system composed of a 1400 kg car moving east at 70 m/s and a second 1300 kg car moving west at 85 m/s? Let east be the positive direction and answer to 3 significant figures.

Answers

Answer:

209000 kg*m/s

Explanation:

Momentum is caclucated using the equation P=mv. Where m is mass and v is velocity.

If you are required to show your work it would be the following:

1400*70=98000 kg*m/s

1300*85=110500 kg*m/s

98000+110500=208500 kg*m/s

209000 kg*m/s

An apple in a tree has a mass of 0.21 kg. If it is 7.2 meters above the ground, how much potential energy does it have?

Answers

Answer:

14.8J

Explanation:

PE=MGH

M=0.21

G=9.8m/s

H= 7.2 m

0.21x7.2x9.8= 14.8176 J

What is the electric potential at a distance of 1.2 m from a 7.5 UC point charge?
5.6 x 104 v
8.1 x 104 V
5.6 % 1010 V
8.1 x 1010 V

Answers

Answer:

5.6x10^4

Explanation:

use the equation V=kq/d

k is the constant 8.99x10^9

V=(8.99x10^9)q/d

q is the charge, 7.5 micro coulombs, but to get coulombs, multiply by 10^-6

V=(8.99x10^9)(7.5x10^-6)/d

And from the problem, we know that the distance is 1.2 meters

V=(8.99x10^9)(7.5x10^-6)/1.2

This simplifies to 5.6x10^4

The electric potential is 5.6 x 10⁴ v.

To find the electric potential the distance = 1.2 m

Charge q = 7.5 UC

What is electric potential and find the value?

               The amount of work needed to move a unit charge from the known point to some unknown point against the electric field  is said to be electric potential.

Formula of an electric potential is

                                     V = k ( q/r)  volt

                   V - electric potential

                    k - Coulomb constant (8.99x10^9)  

                    q -  charge

                     r- distance of separation

  V = (8.99x10⁹) (q/d)

  q = 7.5 UC ( micro coulomb) 10⁻⁶ C

   V=(8.99x10⁹)(7.5x10⁻⁶)/d

Substituting the values,

    V=(8.99x10⁹)(7.5x10⁻⁶)/1.2

    V = 5.6x10⁴ v

Thus, option A is correct.

Learn more about the electric potential,

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a catcher "gives" with the ball when he catches a 0.196 kg baseball moving at 31 m/s. if he moves his glove a distance of 5.32 cm, what is the average force acting on his hand?

Answers

Answer:

3540.5N

Explanation:

Step one:

given data

mass m= 0.196kg

speed  v= 31m/s

distance r= 5.32cm = 0.0532m

Step two

The expression relating force, mass, velocity and distance is

F= mv^2/r

substitute we have

F=0.196*31^2/0.0532

F=0.196*961/0.0532

F=188.356/0.0532

F=3540.5N

magnetic field strength decrease when what is increases

Answers

Ans: One way to increase or decrease the strength of the magnetic field is to change the number of loops in the coil. The more loops you add, the stronger the field will become. The more loops you remove, the weaker the field will become.

Which type of wave has the longest wavelength?

Gamma rays


Ultraviolet rays


Visible light


Microwaves


Radio waves

Answers

Answer:

Radio Waves

Explanation:

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