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

Many large and small rocks are found under glaciers. Explain how these rocks are both weathered and eroded.

Answers

Answer:

Explanation below

Explanation:

Ice, mostly in the form of glaciers can create different landforms as it erodes the earth. In some areas with mountains, the glaciers move gradually downhill and across the land areas. When they move, the transport virtually everything on their path, ranging from small grains of sands to huge boulders.  

As these glaciers flow, the rocks being carried in the process scrape against the ground and erode both the ground and the rocks. Rocks are being ground up and oils are scrapped away.  

The main types of erosion created by the glaciers are abrasion and plucking.  

 

Which are compounds ?

Answers

Answer:

water, salt, ammonia, sulfuric acid

Explanation:

I looked it up and decided to be helpful

Answer:

Water, Salt, Ammonia, Sulfuric Acid

Explanation:

g. Write the merits and demerits of ultraviolet rays.

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Answer:

UV rays aid in the production of Vitamin D. But it can also give you cancer.

Explanation:

i am a scientist

How Many displacement vectors shown in the figure above have horizontal components

Answers

Answer:

I think it's 5.

Explanation:

Answer: 4 vectors

Explanation:

4 pleasee i have to submit in 10 minutes

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Answer:

True

Explanation:


A spiral spring of natural length 20.00cm has a scale
pan hanging on its lower end while the other end is
fixed firmly to a support.When an object of mass 50g
is placed in the pan, the length of the spring becomes
22.00 cm.When another object of mass 70g is placed in
The pan, the length becomes 22.25cm Calculate the
mass of the scale pan. (g = 10m/s]​

Answers

The  mass of the scale pan : 0.11 kg

Further explanation

Given

A spiral spring's length = 20 cm

mass 50 g ⇒ the length = 22 cm

mass 70 g ⇒ the length = 22.25 cm

Required

the  mass of the scale pan

Solution

Hooke's Law :

[tex]\tt F=k.\Delta x[/tex]

The spring constant (k) :

[tex]\tt k=\dfrac{\Delta F}{\Delta x}=\dfrac{g.(70-50)}{22.25-22}=\dfrac{g.20}{0.25}=g.80~g/cm=10~m/s^2\times 8~kg/m=80~N/m[/tex]

mass of the scale pan=m(for 50 g mass) :

[tex]\tt (m+0.05).g=80\times (0.22-0.20)\\\\m=0.11~kg[/tex]

A bus accelerates forward. If an apple were on the floor of the bus it would move forward.
A: True
B: False

Answers

Answer:

False

Explanation:

Since it is on the bus, it would not move forward because the outside acceleration cannot be considered.

How does an executive order differ from a statue?

Answers

Answer: Executive Order on Protecting American Monuments, Memorials, and Statues against our country are public monuments, memorials, and statues.

Explanation: learned it last week

Acceleration is a change in speed or direction over time. In what two ways does the sled accelerate as it descends?

Answers

Answer:

By force and sloppy surface.

Explanation:

By applying force on the sled and slope of the path are the two ways the sled accelerate as it descends. If there is more friction between sled and the ground then force is required to push the sled to move downward while on the other hand, if the path on which sled moves is sloppy then it will move automatically without the use of force, so these two ways can accelerate the sled.

calculate the kinetic energy of running kitten that has a mass of 4 kg and velocities of 2 m/s​

Answers

The equation you use is Ke = 1/2mv^2. when you plug in the numbers that are given you get Ke= 1/2(4)(2^2) which gives you a Kinetic Energy of 8

(a) As you ride on a Ferris wheel, your apparent weight is different at the top and at the bottom. Explain. (b) Calculate your apparent weight at the top and bottom of a Ferris wheel, given that the radius of the wheel is 7.2 m, it completes one revolution every 28 seconds, and your mass is 55 kg.

Answers

Answer:

a. The component of the net force which make up the apparent weight are added to each other at the bottom and subtracted (the centripetal force from the weight) at the top)

b. Apparent weight at the top is approximately 519.06 N

Apparent weight at the bottom is approximately 558.94 N

Explanation:

a. The apparent weight at the top is different from the apparent weight at the bottom of a moving Ferris wheel because of the opposite direction in which the centripetal force acts at the top and the bottom, which are upwards and downwards respectively, while the weight acts downwards constantly

b. The given parameters are

The radius of the Ferris wheel, r = 7.2 m

The period for one complete revolution, t = 28 seconds

The angle covered in one revolution, θ = 2·π radian

The mass of the person riding on the Ferris wheel, the passenger  = 55 kg

Therefore, we have;

The angular speed, ω = Δθ/Δt = 2·π/(28)

From which we have;

Centripetal force, [tex]F_c[/tex] = m × ω² × r

Substituting the known values, we have [tex]F_c[/tex] = 55 kg × (2·π/(28 s))² × 7.2 m ≈ 19.94 N

The centripetal force, [tex]F_c[/tex] = 19.94 N always acting outward from the center

Weight = Mass × Acceleration due to gravity

The weight of the passenger = 55 kg × 9.8 m/s² = 539 N

The weight of the passenger = 539 N always acting downwards

At the top of the Ferris wheel the the centripetal force is acting upwards and the weight is acting downwards

Therefore;

The net force, which is the apparent weight of the passenger at the top [tex]F_{NET_{Top}}[/tex] = 539 N - 19.94 N ≈ 519.06 N

Apparent weight at the top ≈ 519.06 N

At the bottom of the Ferris wheel the weight is acting downwards and the centripetal force is also acting downwards

Therefore;

The net force at the bottom, which is the apparent weight of the passenger at the bottom [tex]F_{NET_{bottom}}[/tex] = 539 N + 19.94 N ≈ 558.94 N

Apparent weight at the bottom ≈ 558.94 N.

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.

A pinball bangs against a bumper of a pinball machine with a speed of 0.46 m/s. If the ball has a mass of 0.058 kg, what is the ball's kinetic energy?


This needs to be done in 3 mins

Answers

Answer:

Okay I might be wrong and sorry if i am either its 12 or 0.402

Explanation:

* I recommend the second one cause its more logical

Be aware I might be wrong

A student attaches a block to a force sensor and pulls it across a frictionless table. The sensor measures the block's acceleration What type of mass does the student measure ?
a. gravitational mass
b. inertial mass
c. neither

Answers

Answer:Inertial mass

Explanation:When we measure gravitational mass we find the strength of an object's interaction with a gravitational field.

When we measure inertial mass we find an object's resistance to being accelerated by a force.

An object's gravitational mass and inertial mass are the same.

We apply a force and measure the resulting acceleration, so we can use Newton’s second law to find the inertial mass.

Joe and Jim start at rest at the starting line of a race track. Both runners accelerate at the same rate, but Joe accelerates for twice as long as Jim. Describe the final speed of Joe compared to Jim.

Answers

Answer:

Vf₂ = 2 Vf₁

It shows that final speed of Joe is twice the final speed of Jim.

Explanation:

First, we analyze the final speed of Jim by using first equation of motion:

Vf₁ = Vi + at

where,

Vf₁ = final speed of Jim

Vi = initial speed of Jim = 0 m/s

a = acceleration of Jim

t = time of acceleration for Jim

Therefore,

Vf₁ = at   ---------------- equation (1)

Now, we see the final speed of Joe. For Joe the parameters will become:

Vf = Vf₂

Vi = 0 m/s

a = a

t = 2t

Therefore,

Vf₂ = 2at  

using equation (1):

Vf₂ = 2 Vf₁

It shows that final speed of Joe is twice the final speed of Jim.

I WILL GIVE U 100 POINTS IF U ANSWER THIS AND GET IT RIGHT!!!!!!!!!!!!!!

Answers

What am o supposed to answer

Answer:

Free points That's awesome Thanks Brainly User!

Explanation:

A hollow tennis ball and a solid steel ball of the same diameter are dropped at the same time. Which ball has the greater force acting on it

Answers

Answer:

the solid steel ball...more mass more weight more gravity

Explanation:

Answer:

Solid steel ball. It has more mass therefore more force will be acting on it.

Explanation:

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Answers

Answer:

I believe the answer is trench.

Explanation:

Hope this helps! <3

Answer:

B. Fault

Explanation:

Please correct me if I’m wrong

(it’s either b or c)

Calculate the mass of a man jogging north along the highway at a rate of 2.65 m/s and a momentum of 225.3 kg*m/s

Answers

Answer:

85.02 kg

Explanation:

The mass of the man can be found by using the formula

[tex]m = \frac{p}{v} \\ [/tex]

v is the velocity

p is the momentum

From the question we have

[tex]m = \frac{225.3}{2.65} \\ = 85.01886...[/tex]

We have the final answer as

85.02 kg

Hope this helps you

Which of the following is an example of electrical energy being changed to thermal energy?
HAIR DRYER
CAMP FIRE

Answers

Hair dryer would be an electrical energy turned to thermal

Answer:

Hair dryer

Explanation:

The electrical energy from the outlet is converted to heat to dry hair. In a fair chemical energy is converted to heat instead.

a force of 50 newtons pulls a rope attached to a 150 newton sled across a horizontal surface at a constant velocity of 5 meters per second. The rope is at an angle of 35 degrees above the horizontal. calculate the magnitude of the frictional force acting on the sled? Show all work, including the equation and substitution with units.

Answers

Answer:

I don't know the answer I hope you find it tho good luck##

According to Kepler's second law of planetary motion,
O a. planets maintain constant speed around the Sun.
Ob. the area swept out by the orbit per time unit keeps changing.
O c. the speed of a planet is greatest when it is closest to the Sun.
O d. planets maintain constant acceleration around the Sun.

Answers

Answer:

c. the speed of a planet is greatest when it is closest to the Sun.

Explanation:

Johannes Kepler was an astronomer who discovered that planets had elliptical orbits in the early 1600s (between 1609 and 1619).

The three (3) laws published by Kepler include;

I. The first law of planetary motion by Kepler states that, all the planets move in elliptical orbits around the Sun at a focus.

II. According to Kepler's second law of planetary motion, the speed of a planet is greatest when it is closest to the Sun.

Thus, the nearer (closer) a planet is to the Sun, the stronger would be the gravitational pull of the sun on the planet and consequently, the faster is the speed of the planet in terms motion.

III. The square of any planetary body's orbital period (P) is directly proportional to the cube of its orbit's semi-major axis.

Answer:

A planet moves faster when it is closer to the Sun.

Explanation:

Kepler law!

A sharp knife cut things easily​

Answers

Answer:

its due to less surface area of action

pressure is high

Which of the technologies could mostly like be found in a wearhouse

Answers

Resources for a business

Which best defines gravity?

A. The tendency of objects to fall from trees

B. An attractive force between two objects due to their mass

C. The amount of matter in an object

D. The rate at which objects fall to earth

Answers

Answer:

B. An attractive force between two objects due to their mass

Explanation:

Answer:

B

Explanation:

Gravity is a force that pulls 2 objects towards each other and varies depending on mass. The earth for example is large enough to have a gravitational force that keeps us down. The sun has a gravitational force that keeps the Earth in orbit.

HELP ASAP!! WILL TRY TO GIVE BRAINLIEST

Explain how receptor-mediated endocytosis is more specific than pinocytosis or phagocytosis

Answers

Answer:

it selects what molecules to engulf, whereas pinocytosis or phagocytosis engulf anything in the vicinity

Trust!

Laura is a star runner of the school's track team. During a trial, her speed was measured to be 9.80 m/s. If Laura's mass is 45.2 kg, her kinetic
energy during the trial was

Answers

Answer:

KE = 2.17 E3 J

Explanation:

m = 45.2 kg

v = 9.8 m/s

KE = 1/2mv^2

KE = [(45.2 kg)(9.8m/s)^2]/2

KE = 2.17 E3 J

If _______________ is disregarded all objects dropped near surface of planet fall with same acceleration.

Answers

Answer:

Escape speed (the speed that is different about any planet.)

An alkane has molecular weight 86. Write its molecular formula. What will be its physical state?

Answers

C6H14

Gaseous state

it's unsaturated hence gaseous

How are seeds different from spores?

Seeds have endosperm which provides nourishment for a new plant, but spores do not have any stored food supplies.

Spores have an endosperm and involve sperm and egg cells, while seeds do not.

Spores involve egg and sperm cells, while seeds do not.

Spores will germinate and must find good soil to survive. Seeds can survive in extremely harsh conditions.

Answers

Explanation:

1.Seeds have endosperm which provides nourishment for a new plant, but spores do not have any stored food supplies.

hope it helpful

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