Two lamps rated 60W; 240V and 100W, 240Vrespectively are connected in series to a 240V power source. Calculate;
a) The resistance of each lamp.
b) The effective resistance of the circuit.
c) The current passing the lamps. pls answer correctly ​

Answers

Answer 1

Answer:

See the answers below.

Explanation:

The total power of the circuit is equal to the sum of the powers of each lamp.

[tex]P=60+100\\P=160 [W][/tex]

Now we have a voltage source equal to 240 [V], so by means of the following equation we can find the current circulating in the circuit.

[tex]P=V*I[/tex]

where:

P = power [W]

V = voltage [V]

I = current [amp]

[tex]I = P/V\\I=160/240\\I=0.67 [amp][/tex]

So this is the answer for c) I = 0.67 [amp]

We know that the voltage of each lamp is 240 [V]. Therefore using ohm's law which is equal to the product of resistance by current we can find the voltage of each lamp.

a)

[tex]V=I*R[/tex]

where:

V = voltage [V]

I = current [amp]

R = resistance [ohms]

Therefore we replace this equation in the first to have the current as a function of the resistance and not the voltage.

[tex]P=V*I\\and\\V = I*R\\P = (I*R)*I\\P=I^{2}*R[/tex]

[tex]60 = (0.67)^{2}*R\\R_{60}=133.66[ohm] \\and\\100=(0.67)^{2} *R\\R_{100}=100/(0.66^{2} )\\R_{100}=225 [ohm][/tex]

b)

The effective resistance of a series circuit is equal to the sum of the resistors connected in series.

[tex]R = 133.66 + 225\\R = 358.67 [ohms][/tex]


Related Questions

Help please ASAP !! Thanks

Answers

Answer:

I think its C

Explanation:

3
Question 2 (1 point)
If a runner is racing at a velocity of 1.7 m/s North for 3.0 seconds, how far did they
run?
5.1 m [N]
0.57 m IN)
57 m
51 m[N]
O 1.8 m [N]

Answers

Answer:

A, 5.1 m [N]

Explanation:

1.7 times three equals 5.1, and since the runner was running north, the direction was north.

Assuming that it could maintain the same acceleration at higher speeds, how long would it take the car to go from 0 to 120 mph

Answers

The question is incomplete, the complete question is;

A car can go from 0 to 60 mph in 7.0 s. Assuming that it could maintain the same acceleration at higher speeds, how long would it take the car to go from 0 to 120 mph? A. 10 s B. 14 s C. 21 s D. 28 s

Answer:

B

Explanation:

We have;

vo = 0 m/s

v1 = 60 mph or 26.8 m/s

v2 = 120 mph or 53.6 m/s

t1 = 7s

To obtain a

v1 = vo + at1

but vo = 0 m/s

a = v1/t1 = 26.8 m/s/7s = 3.8 ms-2

To obtain t2 for the car;

v2 = vo + at2

but vo = 0 m/s

t2= v2/a = 53.6m/s/3.8ms-2

t2 = 14.1 s

Question 1 (0.5 points)
Electric circuits provide a path for ___ to flow.
protons
matter
electrons
energy

Answers

Electric circuits provide a path for electrons.

The passage of electrons is facilitated by electric circuits.

An electric circuit resembles a roadway consisting of wires over which electrons are transferred.

The force that causes the electrons to travel comes from a battery or another power source. To allow electrons to travel from the source of power to the gadget and back, wires must be run from the source of electricity to the gadget and back.

So, Option "C" is the correct answer to the following question.

Learn more:

https://brainly.com/question/20315949?referrer=searchResults

How long will it take a sample of I-131 to decay to 12.5% assuming it's half-life is 8.07 days?

Answers

Answer:

If you take A0 to be the initial sample of iodine-131, you will be left with. 12⋅A0=A02→ ... m24 hours=12.5%mo=12.5⋅10−2⋅mo

Explanation:

is that what u look for

Sample I-131 decays to 12.5% in 24.21 days.

What is half-life?

Half-life, in radioactivity, is the amount of time needed for half of a radioactive sample's atomic nuclei to decay (change spontaneously into other nuclear species by emitting particles and energy), or, alternatively, the amount of time needed for a radioactive material's rate of disintegrations per second to decrease by half.

Give parameters:

Half-life of  the radioactive element I-131:T = 8.07 day

It decays to 12.5% means it decays to 1/8.

According to definition of half-life,

The radioactive element I-131 decays to half in 8.07 days.

So, the radioactive element I-131 decays to 1/8 in 3×8.07 days = 24.21 days.

Hence,  the radioactive element I-131 decays to12.5% in 24.21 days.

Learn more about half-life here:

https://brainly.com/question/24710827

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General relativity can be used to calculate what?

Answers

Answer:

Equation for general relativity

Explanation:


Which of the following is true about the mass of an object?
O It is equal to its weight.
O It is proportional to its weight.
O it is always more than its weight.
Olt changes at different locations

Answers

I believe it is the first one

A ball is thrown horizontally at a speed of 24 meters per second from the top of a cliff. If the ball hits the ground 4.0 seconds later, approximately how high is the cliff? I NEED HELP FOR THIS QUIZ LOL

Answers

Answer:

78.4m

Explanation:

In these situations, vertical and horizontal components need to be considered separately;

So, horizontal speed is irrelevant since we are talking about vertical height, i.e. the height of the cliff;

But, the fact that the speed is horizontal is relevant because this means the vertical speed initially is 0m/s;

The downwards movement of the ball is due to gravity, which is 9.8m/s²;

The time is given as 4.0s from the top of the cliff to the bottom;

We know the acceleration, time and initial speed so we can use this kinematic equation to solve for distance:

s = ut + ¹/₂at²

s = displacement (/distance)

u = initial vertical velocity = 0

t = time (time taken for the ball to fall) = 4

a = acceleration (downwards) = 9.8

Substitute these values into the equation to get the distance:

s = 0(4) + ¹/₂(9.8)(4)²

s = 78.4m

There is an accident up the road from your car. You see other cars ahead of you. Who will stop first?

A fully-loaded big rig truck

An empty truck

A midsized van

A small car

Answers

Answer:

According to the 2010 U.S. Census, there are approximately 8 million people living in Virginia. This is 2.8 million less than 4 times the population of Nevada.

What is the population of Nevada?

The first step is to  on both sides.

The second step is to  on both sides.

The population of Nevada is  million.

Explanation:

a small car!! hope this helps

A projectile is fired into the air. Three characteristics of its subsequent motion are
1) the horizontal component of velocity
II) the vertical component of velocity
III) the acceleration
Neglecting air resistance, which characteristic(s) change(s) whilst the projectile is in the air.
(1 Point)
I only
Il only
II and III only
I and II only

Answers

Answer:

The answer is C) II and III only

Explanation:

A hose on the ground projects a water current upwards at an angle 40 to the horizontal at velocity 20 m/s find height at which water hits a wall at 8 m away from the hose (consider that acceleration due to gravity =9.8 m/s2)

Answers

Answer:

The water hits the wall at a height of 5.38 m

Explanation:

Projectile Motion

It's the type of motion that experiences an object projected near the Earth's surface and moves along a curved path exclusively under the action of gravity.

The object describes a parabolic path given by the equation:

[tex]{\displaystyle y=\tan(\theta )\cdot x-{\frac {g}{2v_{0}^{2}\cos ^{2}\theta }}\cdot x^{2}}[/tex]

Where:

y   = vertical displacement

x   = horizontal displacement

θ   = Elevation angle

vo = Initial speed

The hose projects a water current upwards at an angle of θ=40° at a speed vo=20 m/s.

The height at which the water hits a wall located at x=8 m from the hose is:

[tex]{\displaystyle y=\tan40^\circ\cdot 8-{\frac {9.8}{2*20^{2}\cos ^{2}40^\circ }}\cdot 8^{2}}[/tex]

Calculating:

y = 5.38 m

The water hits the wall at a height of 5.38 m

The main difference between distance and displacement is tat

Answers

Answer:

Distance is the length of the path taken by an object whereas displacement is the simply the distance between where the object started and where it ended up.

Explanation:

Hope this helps! Good Luck on the rest of your assignments! :)

Answer:

Distance is quite literally the total amount of distance you have covered. Displacement is the total displacement from your origin. For example, if you were to move 5m north then 2m south, your total displacement from your origin would be 3m north.

An exoplanet with one half of Earth's mass and 50% of Earth's radius is discovered.
What would a space cadet who weighs 800 N on Earth weigh on the exoplanet?

Answers

Answer:

The space cadet that weighs 800 N on Earth will weigh 1,600 N on the exoplanet

Explanation:

The given parameters are;

The mass of the exoplanet = 1/2×The mass of the Earth, M = 1/2 × M

The radius of the exoplanet = 50% of the radius of the Earth = 1/2 × The Earth's radius, R = 50/100 × R = 1/2 × R

The weight of the cadet on Earth = 800 N

[tex]The \ weight, W =G\dfrac{M \times m}{R^{2}} = 800 \ N[/tex]

Therefore, for the weight of the cadet on the exoplanet, W₁, we have;

[tex]W_1 =G\dfrac{\dfrac{M}{2} \times m}{ \left ( \dfrac{R}{2} \right ) ^{2}} = G\dfrac{\dfrac{M}{2} \times m \times 4}{ R ^{2}} = 2 \times G \times \dfrac{M \times m}{R^{2}} = 2 \times 800 \, N = 1,600 \, N[/tex]

The weight of a space cadet on the exoplanet, that weighs 800 N on Earth = 1,600 N.

If the object distance in the following picture were 8.0 m and the image distance were 2.0 m, what is the focal length?
Answer options: 0.63m or 1.6m

Answers

Answer:

where is the picture. .......

Answer:

1.6m

Explanation:

To solve, we must use the equation: 1/f = 1/so + 1/si

f= focal point

so=object's distance

si=image's distance

We put in the numbers we have and we get: 1/f = 1/8.0 + 1/2.0.

1/f =  0.125 + 0.5 (changed the fractions to decimals)

1/f = 0.63 (0.625 rounded to the hundredths)

Now we solve for f:

1 = 0.63f

f = 1/0.63

f = 1.6

The focal length is 1.6m.

Hope this helped!

HELP ASAP!!!! WILL GIVE BRAINLIEST!

What is the function of mitochondria?

Answers

Answer:

The mitochondria is a cell organelle that provides energy for the cells.

Explanation:

A cell can be defined as the fundamental or basic functional, structural and smallest unit of life for all living organisms. Some living organisms are unicellular while others are multicellular in nature.

A unicellular organism refers to a living organism that possess a single-cell while a multicellular organism has many (multiple) cells.

All living organisms such as plants and animals require energy to function properly (life activities). Thus, the organelle where energy from nutrients is released is generally referred to as mitochondria.

Animals retrieve energy using mitochondria to do cellular respiration because they typically act like a digestive system by taking in nutrients, breaking them down and obtaining energy rich molecules for cell-life activities.

Basically, mitochondria is one of the cell organelles found in all living organisms and it is known as the powerhouse. Therefore, mitochondria provides all the energy required in the cell by transforming energy forms through series of chemical reactions; breaking down of glucose into Adenosine Triphosphate (ATP) used for providing energy for cellular activities in the body of living organisms.

Which of the following best describes reflection?
a. Reflection is when waves bend around an obstacle.
b. Reflection is when waves bounce off a surface.
c. Reflection is when waves bend.

Answers

B. Reflection is when waves bounce off a surface Ik this because I did it in 7th grade was my favorite unit to learn in school

Reflection is when waves bounce off a surface this because I did it in 7th grade was my favorite unit to learn in school.

What is Reflection?

When two different media come together at an  a wavefront might change direction so that it returns to the first medium, which is known as reflection.

The reflection of light, sound, and water waves are typical examples. According to the law of reflection, the angle at which the wave incident on the surface equals the angle at which it is reflected for specular reflection (such as at a mirror).

Reflection produces echoes in acoustics and is used in sonar. It is crucial to the study of seismic waves in geology. Surface waves in bodies of water are used to observe reflection.

To learn more about reflection, refer to the link:

https://brainly.com/question/30270479

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a TV set is pushed a distance of 2 m with a force of 20 N how much work is done on the set ​

Answers

Answer:

40 J

Explanation:

Which of the following is the most sensible way to conserve natural resources?
O Don't use any products made from trees
O Stop using electricity entirely
Never ride in a car
O Bike or walk to school instead of taking a gasoline-powered car.

Answers

Answer:Bike or walk to school instead of taking a gasoline powered car.

Explanation: gasoline is not infinite. trees can be replanted and regrown. electricity can by generated and is not a natural recourse.

BOTH plant and animal cells contain...

i need a answer now it's due today please help

Answers

Answer:

I searched it up:

Explanation:

"Structurally, plant and animal cells are very similar because they are both eukaryotic cells. They both contain membrane-bound organelles such as the nucleus, mitochondria, endoplasmic reticulum, Golgi apparatus, lysosomes, and peroxisomes. Both also contain similar membranes, cytosol, and cytoskeletal elements"

Hope this helps ∞<3

Which of these objects has memetic energy

Answers

Answer:

A collision of pool balls is an example of kinetic energy being transferred from one object to another. Kinetic energy is the energy of mass in motion.

Explanation:

Do all objects have kinetic energy?

Kinetic and potential energies are found in all objects. If an object is moving, it is said to have kinetic energy (KE). Potential energy (PE) is energy that is "stored" because of the position and/or arrangement of the object.

A ball has a mass of 0.1 kg and an initial velocity of 20 m/s. The ball is given an acceleration of 30 m/s2 for 5 s. What is the net force on the ball during acceleration?

Answers

Answer:

acceleration = v-u /t

30- 20/5

= 10/5 = 2m/sec²

Force = mass * acceleration

Force = 0.1 * 2

Force = 0.2 Newton

Answer:

I hope the above pic will help you

I will always help you understanding your assingments

have a great day #Captainpower:)

Melinda is taking a tour through a new city on the tour she walk there .40 miles south 0.65 miles east 0.78 miles north 1.24 miles west then 1.20 miles south at the end of the tour what is Melinda's displacement vector

Answers

Answer:

The displacement vector is  [tex]-0.59 \hat i -0.82 \hat j[/tex]

Explanation:

Taking East as positive x-axis having a unit vector [tex]\hat i[/tex] and North as positive y-axis having a unit vector [tex]\hat j[/tex].

So, west and south are in negative x and negative y  directions respectively.

As she walks 0.40 miles south, 0.65 miles east, 0.78 miles north, 1.24 miles west then 1.20 miles south.

Scaling 1 mile as 1 unit vector, so 1 mile east = 1 [tex]\hat i[/tex] and so on

Adding all the displacement vectors, we have

[tex]\vec {v} = -0.40 \hat j +0.65 \hat i + 0.78 \hat j -1.24 \hat i - 1.20 \hat j[/tex]

[tex]\vec {v} = -0.59 \hat i -0.82 \hat j[/tex]

Hence, the displacement vector is  [tex]-0.59 \hat i -0.82 \hat j[/tex]

what phenomenon reduces the adverse effects and pressure imposed by solar wind on earth?​

Answers

Answer:

The earths magnetic field

Explanation:

The Sears Tower in Chicago is approximately 444 m tall Suppose a book
dropped from the top of the building what would be the book's velocity
point 222 m above the ground Neglectair resistance.
O 66.0 m/s (downwards)
2.00 m/s upwards)
22.0 m/s (downwands)
/s (
) 66.0 m/
swards,​

Answers

Answer:

A. 66.0 m/s downwards

Explanation:

The Tower has a height of 444m

The book is dropped ,finding the velocity of the book 222m above the ground, means the book will be on air for a  height of 222 m .

Apply the formula for free fall in a horizontal projection as;

h= u²×sin²∅ /2g  where

h= maximum height =222m

g= acceleration due to gravity =9.81 m/s²

∅ = projectile angle = 0

u = velocity of the book

Applying the formula as ;

h= u²×sin²∅ /2g

222 = u²/2*9.81

222*19.62 = u²

4355.64 = u²

√4355.64 = u

65.99 m/s = u

66 m/s  downwards

The air is an example of a gas in a gas solution. True or false

Answers

True! Air is in fact a natural gas in a gas solution.

Hope this helped!
true, air is an example of a gas in a gas solution.

what is it that makes a magnet different from a piece of iron that is not mangetic?​

Answers

Answer:

Under normal conditions, a magnetic material like iron doesn't behave like a magnet because the domains don't have a preferred direction of alignment. On the other hand, the domains of a magnet (or a magnetized iron) are all aligned in s specific direction.

As a horse finishes its trot around the corral, it slows from 4m/s to a stop in 3
seconds. Calculate the acceleration of the horse.

Answers

As a horse finishes its trot around the corral, it slows from 4m/s to a stop in 3
seconds. Calculate the acceleration of the horse.
Can anybody help ?

The diagram shows a model of an atom. Who first proposed this model?
A. Bohr
B. Thomson
C. Rutherford
ОО
D. Dalton

Answers

A.Bohr

His model postulated the existence of energy levels or shells of electrons. Electrons could only be found in these specific energy levels; in other words, their energy was quantised, and couldn’t take just any value. Electrons could move between these energy levels but had to do so by either absorbing or emitting energy.

A. Bohr!

This answer is correct because I read the information.

Calculate the displacement of the following components:
1 units North
2 units South
2 units North
2 units North
3 unit South

Answers

Answer:

zero displacement

its returnin to the starting point.

5 north 5 south

Many things can alter your heart rate including: exercise, diet, nutrition, sugar, and caffeine

True or false

Answers

Answer:

true

Explanation:

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