The equivalent resistances of two wires connected in series and in parallel are 25 ohm and 4 ohm respectively. Calculate the resistance of each wire.

Answers

Answer 1

Answer:

5ohms and 20ohms

Explanation:

Let the resistance of each wire be R1 and R2, if the equivalent resistance in series is 25 ohms, then;

R1 + R2 = 25 ...1

If the equivalent in parallel is 4 ohm, then;

1/R1 + 1/R2 = 1/4

R2+R1/R1R2 = 1/4

Cross multiply

4(R2+R1) = R1R2 ...2

From 1;

R1 = 25 - R2 ... 3

Substitute 3 into 2

4(R2+25-R2) = (25-R2)R2

4(25) = (25-R2)R2

100 = 25R2 - R2²

R₂² -25R₂+100 = 0

R₂² -20R₂-5R₂+100 = 0

R₂(R₂-20)-5(R₂-20) = 0

(R₂-5)(R₂-20)=0

R₂ = 5 or 20

Since R₁ = 25-R₂

R₁ = 25 - 5

R₁ = 20

Hence the resistances are 5ohms and 20ohms


Related Questions

Question 3 of 5
Which term refers to a transfer of thermal energy between objects?
O A. Temperature
OB. Heat
O C. Kinetic energy
O D. Potential energy​

Answers

Answer:

Heat

Explanation:

The term heat refers to the conduction process which occurs when energy is passed between objects

Answer

Heat

did quiz and got it correct

HELP
What is the momentum of a 50-kg ice skater gliding across the ice at a speed of 5 m/s?

Answers

Answer:

250 kgm/s

Explanation:

To calculate momentum, simply take the product of the mass and velocity.

20 POINTS!!! The photograph shows a the result of waves made by an earthquake.
What was transported to this location by the earthquake waves?
A. Gravity
O B. Energy
C. Rock
D. Matter

Answers

Answer:

It's B = Energy ....

i hope its right

M^3 is a derived unit why?

Answers

Answer:

From the base unit of length, we can define volume, and from the base units of length, mass, and time, we can define energy. ... Volume. Since volume is length cubed, its SI derived unit is m3

Explanation:

Hope it helps

"" damped force equation ""​

Answers

Answer:

In many vibrating systems the frictional force Ff can be modeled as being proportional to the velocity v of the object: Ff = −cv, where c is called the viscous damping coefficient.

Where is the water table located?

Answers

Answer:

The water table is the upper surface of the zone of saturation. The zone of saturation is where the pores and fractures of the ground are saturated with water. It can also be simply explained as, the upper level, below which the ground is saturated.

What are the poles of a bar magnet.is it North West South or east.​

Answers

Answer:

One end of any bar magnet will always want to point north if it is freely suspended. This is called the north-seeking pole of the magnet, or simply the north pole. The opposite end is called the south pole.

Explanation:

Answer:

North Pole and South Poles

Explanation:

There is no east or west in a magnetic field of a magnet. The magnetic field lines comes from North pole to south pole.

Use the equation d = st, where d = distance, s = speed, and t = time. If you jog
at a speed of 1.5 m/s for 20 seconds, how far do you travel?
A. 13.3 m
B. 30 m
C. 5 m
D. 21.5 m

Answers

Answer:

Distance = 30 meters

Explanation:

Given the following data;

Speed = 1.5 m/s

Time = 20 seconds

To find the distance travelled;

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the formula;

[tex]Speed = \frac{distance}{time}[/tex]

Making distance the subject of formula, we have;

[tex] Distance = speed * time [/tex]

Substituting into the above formula, we have;

[tex] Distance = 1.5 * 20 [/tex]

Distance = 30 meters

If the car falls down the side of the cliff, what is happening to the gravitational potential energy of the falling car (Assume the bottom of the cliff is zero)
Group of answer choices

the gravitational potential energy is decreasing

the gravitational potential energy has not changed

the gravitational potential energy is increasing

Answers

Explanation:

Gravitational potential energy is energy an object possesses because of its position in a gravitational field. ... The gravitational potential energy is equal to its weight times the height to which it is lifted. PE = kg x 9.8 m/s2 x m = joules. The 9.8 us the gravitational acceleration constant.

so the answer is "the gravitational potential energy is decreasing"

Evaluate (5.7x106 kg) * (6.3x10-2 m/s2) and express the answer in
scientific notation.

Answers

Answer:

Force = 3.591 * 10⁵ Newton

Explanation:

Given the following data;

Mass = 5.7 * 10⁶ kg

Acceleration = 6.3 * 10^-2 m/s²

To express the force as a scientific notation;

Force = mass * acceleration

Force = 5.7 * 10⁶ * 6.3 * 10^-2

Force = 359100 Newton

In scientific notation;

A number is said to be written in scientific notation when we multiply the numbers between 1 and 10 by a power of 10.

Force = 3.591 * 10⁵ Newton

calculate the amount of energy needed to take 34g of ice at -2°C to 118°C​

Answers

Answer:

Q = 8608.8 J

Explanation:

Given that,

The mass of ice, m = 34 g

The temperature changes from -2°C to 118°C​.

The specific heat of ice, c = 2.11 J/g°C

The heat energy needed,

[tex]Q=mc\delata T\\\\Q=34\times 2.11\times (118-(-2))\\Q=8608.8\ J[/tex]

So, 8608.8 J of energy is needed.

If a 2.0Ω resistor and a 4.0Ω resistor are connected with a 12 volt battery, what is the total resistance of the circuit?
4.80Ω
9.2Ω
6.0Ω
1.3Ω​

Answers

answer:

6 ohms

Explanation:

if these two resistors are connected in series, the total resistance is the sum: 2+4 = 6 (ohms)

HELP ASAP
Which list places different units of matter in the correct sequence from
largest to smallest?
A. Buildings, bricks, rock particles, protons, atoms
B. Buildings, rock particles, bricks, atoms, protons
C. Buildings, bricks, atoms, rock particles, protons
D. Buildings, bricks, rock particles, atoms, protons

Answers

Answer:

I think it's D!!

cuz protons are in the atoms

Hai tiếp điểm hình trụ bằng đồng có đầu hình cầu bán kính R = 70mm, lực ép tiếp điểm F = 100N, Mô đun đàn hồi của đồng là 11.8 * 106(N/cm2). Cho biết: a = 0.86 * (F*R/E)1/3, điện trở suất của đồng là 1.62 * 10-8 (Ω/m), với tiếp điểm đồng thì hệ số K1 = 3,16.10-4 (ΩN1/2). Biết các giá trị ứng suất của đồng là: σdh = 38300 N/cm2; σdẻo = 45000 N/cm2; σd.Nát = 51000 N/cm2. Tính điện trở tiếp xúc trong trường hợp thỏa mãn điều kiện tản dòng lí tưởng và trong trường hợp thực nghiệm.

Answers

Answer:

5dhydydyeze6ese6z7zuezuze6ezyezyezzeze

yeah totally we get it

change of seasons

Rotation or Revolution​

Answers

Answer:

tilt and revolutionary. the earth's axis is tilted by 23.5 degrees.

Its revolution because it the temperature to change thus the xhanging of seasons

A fixed mass of gas has a volume of gas of 25cm3. the pressure of the gas is 100kPA. the volume of the gas is slowly decreased by 15cm3 at a constant temperature. what is the change in the pressure of the gas?
a) 67kPA
b) 150kPA
c) 170kPA
d) 250kPA
give reasons

Answers

A fixed mass of gas has a volume of 25 [tex]cm^3[/tex], the pressure of the gas is 100 kPa, the volume of the gas is slowly decreased by 15 [tex]cm^3[/tex] at a constant temperature, and the change in pressure of the gas is 150 kPa, which is option b.

What is the calculation of the change in pressure?

PV = nRT (P= pressure of the gas, V =volume, n = number of moles of gas, R = gas constant, and T =temperature of the gas in kelvin)

Suppose the gas is an ideal gas and that the temperature is constant,

P1V1 = P2V2

Here P1 = 100 kPa, V1 = 25 [tex]cm^3[/tex], V2 = 10 [tex]cm^3[/tex],

100 kPa x 25 [tex]cm^3[/tex] = P2 x 10 [tex]cm^3[/tex]

P2 = (100 kPa x 25 [tex]cm^3[/tex]) / 10 [tex]cm^3[/tex]

P2 = 250 kPa

the change in pressure of the gas is,

ΔP = P2 - P1 = 250 kPa - 100 kPa = 150 kPa

The reason is that when the volume of a fixed mass of gas is decreased, the pressure of the gas increases proportionally, so here assuming that the temperature is constant it is calculated.

Hence, the volume of the gas is slowly decreased by 15 [tex]cm^3[/tex] at a constant temperature, and the change in pressure of the gas is 150 kPa, which is option b.

Learn more about the calculation of the change in pressure here.

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velocity of B rays ?

Answers

Answer:

is from 9 x 107 m/sec to 27 x 107 m/s

Why do you think this is called a high-pressure system? ______________________

Answers

Answer:

High in the atmosphere, air pressure decreases. With fewer air molecules above, there is less pressure from the weight of the air above. Places where the air pressure is high, are called high pressure systems. A low pressure system has lower pressure at its center than the areas around it.

Explanation:

Hope this helps you sorry if it doesn’t

How do you use the periodic table to recall the ionic charge of an alkali metal, an alkaline earth metal, or aluminum?


The positive charge is the group number.

The negative charge is the group number.

The positive charge is the period number.

The negative charge is the period number.

Answers

Answer:

the positive charge is the period number

Explanation:

I might be wrong

Answer:

The positive charge is the group number.

Explanation:

A car moves with the speed of 120m/s for 4 minutes ,calculate the distance covered by the car​

Answers

Answer:

960 m

Explanation:

Given that,

Speed = 120 m/sTime taken = 4 minutes

We have to find the distance covered.

Firstly, let's convert time in seconds.

→ 1 minute = 60 seconds

→ 4 minutes = (4 × 60) seconds

4 minutes = 240 seconds

Now, we know that,

Distance = Speed × Time

→ Distance = (4 × 240) m

Distance = 960 m

Therefore, distance covered is 960 m.

1) Explain the term fermentation

2) why is fermentation useful in making wine and beer

Answers

1. Fermentation is a metabolic process that produces chemical changes in organic substrates through the action of enzymes. In biochemistry, it is narrowly defined as the extraction of energy from carbohydrates in the absence of oxygen. The science of fermentation is known as zymology.

2. In general, the longer that fermentation goes on, the more sugar is converted into alcohol, resulting in a less sweet (or “drier”) and more alcoholic beverage. To produce beer, various grains are used instead of grapes as the source of sugars. ... This drying process converts the starches present in grain into sugars

Answer:

1.) Fermentation, chemical process by which molecules such as glucose are broken down anaerobically. More broadly, fermentation is the foaming that occurs during the manufacture of wine and beer, a process at least 10,000 years old.

2.) In general, the longer that fermentation goes on, the more sugar is converted into alcohol, resulting in a less sweet (or “drier”) and more alcoholic beverage. To produce beer, various grains are used instead of grapes as the source of sugars. ... This drying process converts the starches present in the grain into sugars.

Explanation:

The density of oil is 0.8 g/cm^3. What is the mass of 36 cm^3 of oil?​

Answers

Answer:

Refer to the attachment!~

Help me please Ima give brainiest

Answers

Sand. You can identify tiny sugar crystals.


Answer: vinegar

A heterogeneous mixture is a mixture in which the composition is not uniform throughout the mixture. ... A heterogeneous mixture consists of two or more phases. When oil and water are combined, they do not mix evenly, but instead, form two separate layers. Each of the layers is called a phase.

Hope it helps...

A 15 cm length of wire is moving perpendicularly
through a magnetic field of strength 1.4 T at the rate
of 0.12 m/s. What is the EMF induced in the wire?
A. OV
C. 0.025 v
B. 0.018 V
D. 2.5 V

Answers

Answer: C or B

Explanation:

The EMF induced in the wire moving perpendicularly through a magnetic field is 0.025V. The correct option is C.

What is EMF?

The EMF is the electro motive force which causes the current to induce in the object moving in the magnetic field.

Given is the length of wire L =15cm =0.15m, magnetic field strength B = 1.4T and velocity of wire V =0.12 m/s

EMF is related to the length of wire, magnetic field strength  and velocity of wire proportionally.

ε = B x L x V

Plug the values, we get

ε = 1.4 x 0.15 x 0.12

ε = 0.025 Volts

Thus, the correct option is C.

Learn more about EMF.

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Which of the following statements is incorrect?

1) A ray of light travels from a point A to point B in a path that takes the shortest time

2) In reflection angle of incidence equal to angle of reflection

3) Magnification for a plane mirror is always unity

4) A plane mirror can form only virtual images

Answers

Answer:

2

Explanation:

in reflection the incident ray and reflected rays are equal an angle

What is the KE of a bird, mass 40g flying at 23m/s?​

Answers

Answer:

230

Explanation:

You do Ke = kinetic times distance divide by mass

The circuit diagram below shows the locations of four switches. Which
switch configuration creates a short circuit?
fo
W
WT

Answers

Answer:

C option

Explanation:

Hope this helps... pls vote as brainliest

volcanic eruptions can destroy propertics and kill people

TRUE OR FALSE​

Answers

Answer:

True

Explanation:

True ofcourse the volcanic eruption shakes the ground and may also lead the earthquakes. Technically it's just like earthquake

I hope this helps!

URGENT!!! PLEASE HELP

Answers

Answer:

guard cell

hope it helps

Wind, moving water, sunlight, and heat from earth's interior are sources of

Answers

Pizza is really great with pineapple
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