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

A car weighing 19600N is moving with a speed of 30 m/sec on a level road. If it is brought to rest in a distance of 100 m. Find the average distance friction force acting on it

Answers

Answer:

F = -8820 N

Explanation:

Given that,

The weight of a car, W = 19600 N

Initial speed of the car, u = 30 m/s

It is brought to rest, final velocity, v = 0

Distance, d = 100 m

We need to find the average friction force acting on it.

Firstly we find the acceleration of the car using third equation of motion. Let it is a.

[tex]v^2-u^2=2as\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{(0)^2-(30)^2}{2\times 100}\\\\=-4.5\ m/s^2[/tex]

Average frictional force,

F = ma

m is mass, [tex]m=\dfrac{W}{g}=\dfrac{19600\ N}{10\ m/s^2}=1960\ kg[/tex]

F = 1960 kg × -4.5 m/s²

= -8820 N

So, the average friction force acting on it is 8820 N.

th weight of an object is​

Answers

Answer:

the weight of an object is the force acting on the object due to gravity. the gravitational force acting on the object. Others define weight as a scalar quantity, the magnitude of the gravitational force.

Explanation:

what object ? tell me what object than I’ll be happy to help :)

URGENT! 40 POINTS! For each situation below, find the work done on the box using both energy and forces.

1. A 2 kg box initially at rest slides down a frictionless ramp (at 15ᵒ from the ground) for
1 second.

2. A 2 kg box is thrown upward with an initial speed of 3.5 m/s. Consider the box from
the time it was thrown until it reaches its maximum height.

3. A 2 kg box is dropped from an initial height of 10 m.


I have some physics, I just don't know what formulas to use or where to start. Help is much appreciated.

Answers

Answer:

i’m not sure one second let me try to figure it out

Explanation:

A student used apparatus as shown above. The beaker held 750 g of a liquid. The current from the power supply was 1.8 A and the potential difference of the supply was 230 V. The temperature rose from 12 °C to 40 °C over a period of 2 minutes.
Calculate the specific heat capacity of the liquid.

Answers

Answer:

[tex]2365.71\ \text{J/kg}^{\circ}\text{C}[/tex]

Explanation:

V = Voltage = 230 V

I = Current = 1.8 A

[tex]\Delta T[/tex] = Temperature change = [tex](40-12)^{\circ}\text{C}[/tex]

t = Time taken = 2 minutes

m = Mass of liquid = 750 g

c = Specific heat capacity of the liquid

Energy required to heat the water is equal to the heat released due to current passing

[tex]mc\Delta T=VIt\\\Rightarrow c=\dfrac{VIt}{m\Delta T}\\\Rightarrow c=\dfrac{230\times 1.8\times 2\times 60}{0.75\times (40-12)}\\\Rightarrow c=2365.71\ \text{J/kg}^{\circ}\text{C}[/tex]

The specific heat capacity of the liquid is [tex]2365.71\ \text{J/kg}^{\circ}\text{C}[/tex]

Which statement is true?
Every magnesium (Mg) atom has atomic number of 12.
Every magnesium (Mg) atom has a mass number of 24.
this is science but i just put physics

Answers

Answer:

Every magnesium (Mg) atom has atomic number of 12.

Explanation:

Magnesium (Mg) is a chemical element of great importance for plants, animals, and humans.

Alkaline earth metal, magnesium is obtained by electrolysis of magnesium chloride solution.

Magnesium burns with a shining flame. Magnesium is a good reducing agent. This property is used to obtain some other metals.

Helpppp!! I will make you a brainlist Calculate the force exerted on
this test dummy with a mass of 75 kg hits an airbag accelerating at 12m/s2??

Answers

Answer:

900 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question is we have

force = 75 × 12

We have the final answer as

900 N

Hope this helps you

A battery is the power source for what type of current

Answers

Answer: DC Current

Explanation:

Battery is a source of constant potential difference and it will create a constant voltage across any conductor

due to this constant voltage difference the current in this conductor will remain constant

So here since the voltage across the conductor is constant so we can say that current in the conductor will remain constant and hence this is known as DC current.

While for variable current in direction and magnitude is to be obtained only when the conductor is connected with AC voltage source as we know that AC voltage is variable with magnitude and direction both

A battery is the power source for DC type of current.  A battery is a source of constant potential difference that produces a constant current unlike in AC source where the voltage and hence the current changes its polarity continuously.Hence, the current produced by battery is direct current and not Alternating current.

Hope this helps........ Stay safe and have a Merry Christmas!!!!!! :D

It takes a crane 59s to lift a flagstone using 342 W of power. How much work is done on the flagstone? ​

Answers

Answer: The work done on the flagstone is 20178 J

Explanation:

Power is the rate at which work is done . It is equal to the amount of work done divided by the time it takes to do the work.

[tex]Work=Power\times time[/tex]

Given : work = ?

Power = 342 W = 342J/s

Time = 59 s

[tex]Work=342J/s\times 59s=20178J[/tex]

Thus the work done on the flagstone is 20178 J

If the velocity of an object changed from 30 m/s to 60 m/s over a period of 10 seconds what would the average acceleration be ?

Answers

3 meters per second squared (3 m/s2)

Cellular respiration occurs in the body 24 hours per day. During exercise, the rate of cellular respiration increases. Why does increased cellular respiration cause people to breathe faster?


More oxygen is needed to produce energy, and more carbon dioxide waste must be removed from the body.


More nutrients are needed to produce more energy, and more oxygen must be removed from the body.


More heat is generated by the body, and breathing cools the body quickly.


More water is lost from the body, and breathing hydrates the body.

Answers

Answer: I think is C

Explanation:

Answer: more oxygen is needed to produce energy

the center of mass of a donut is located ?
a. in the hole
b. in material making up the donut
c. near the center of gravity
d. over a point of support ​

Answers

Answer:

A

Explanation:

where the hole is because it's a rigid object with uniform density.

here avarose566 you need this

Answers

Answer:

ooooooooooooooooo

Explanation:

*makes holy water*

HAHAHAHAHAHAH NO I NEED A DCIK

A 250-kg moose stands in the middle of the railroad tracks in Sweden, frozen by the lights of an oncoming 10,000kg train traveling at 20m/s. Even though the engineer attempted in vain to slow the train down in time to avoid hitting the moose, the moose rides down the remaining track sitting on the train’s cowcatcher. What is the final velocity of the train and moose after the collision?
(Momentum & Impulse)

Answers

Answer:

The final velocity of the train and the moose after collision is approximately 19.51 m/s

Explanation:

The given mass of the moose, m₁ = 250 kg

The velocity of the moose, v₁ = 0

The mass of the oncoming train, m₂ = 10,000 kg

The velocity of the train, v₂ = 20 m/s

The velocity of the moose and the train after collision = v₃

By the principle of conservation of linear momentum, the total initial momentum before the collision = The total final momentum after collision

m₁·v₁ + m₂·v₂ = (m₁ + m₂)·v₃

Therefore, by substitution, we have;

250×0 + 10,000× 20 = (10,000 + 250) × v₃

200,000 = 10,250 × v₃

v₃ = 200,000/10,250 ≈ 19.51 m/s

The final velocity of the train and the moose after collision = v₃ ≈ 19.51 m/s

The masses of four vehicles and the net forces acting on them as they enter a highway are recorded in the table below. Vehicles Entering a Highway Vehicle Mass (kg) Force (N) Sedan 1500 4500 Coupe 1200 4500 SUV 1800 4500 Truck 2000 4500 Which vehicle has the greatest acceleration as it enters the highway?​

Answers

Answer:

Coupe

Explanation:

It has the least amount of mass

The acceleration of each vehicles with same force decreases with an increase in mass. Thus, the vehicle with greatest acceleration is the light vehicle which is coupe here.

What is acceleration?

Acceleration of a body is the rate of change of its velocity. Acceleration is a vector quantity thus it is characterized by its magnitude and direction. The acceleration of a body depends on the mass, speed and the force acting on the body.

According Newton's second law of motion, the force acting on a body is the product of its mass and acceleration.

Thus, F = ma.

Force increases with both acceleration and mass.

From this relation, it is clear that the mass and acceleration of a body are in inverse relation. Thus, a massive body requires more force to accelerate it.

Here all the vehicles have equal force on it but their masses are different. The greater mass is for truck here which is associated with least acceleration anb the light vehicle, coupe will have the greatest acceleration.

To find more on acceleration, refer here:

https://brainly.com/question/12550364

#SPJ5

What is the frequency of a light wave if its wavelength is 4.70 x 10-7 meters?
A. 1.57 x 10-15 Hz
B. 1.57 x 10-8 Hz
O
C. 6.32 x 107 HZ
O
D. 6.38 x 1014 Hz

Answers

Answer:

6.38 * 10^14 Hz

Explanation:

A car drives 500m in 2 minutes.What is the cars speed? A.2m/s B.4m/s C.5 m/s

Answers

Answer:

B

Explanation:

1 minute = 60 seconds

2 minutes = 2 * 60 = 120 seconds.

d = r * t

t = 120 seconds

d = 500 meters

r = d/t

r = 500 / 120 = 4.167 m/s

The closest answer is B

Identify the particle that is NOT a subatomic particle.
es
A)
electron
B)
neutron
C
positron
D)
proton

Answers

The answer is c, positron.

Answer:

C

positron

Explanation:

A satellite is on orbit 35600 km above the surface of the earth.its angular velocity is 7.25×10–5 rad/sec.What is the vrlocity of the satellite?(The radius of the earth is 6400 km​

Answers

Answer: 3.045 km/s

Explanation:

When an object is doing a circular motion, the velocity of the object is written as;

v = r*w

where;

r = radius of the circle

w = angular velocity.

In this case, we know that:

w = 7.25*10^(-5) s^-1

And the radius will be equal to the radius of the Earth, plus the height of the satellite, this is:

R = radius of the Earth + 35600 km = 6400km + 35600 km  = 42000 km

Then the velocity of the satellite will be:

v =  42000 km*7.25*10^(-5) s^-1 = 3.045 km/s

The velocity of a satellite with an orbit 35600 km above the surface of the earth and an angular velocity of 7.25×10–5 rad/sec = 3045 m/s

Velocity: This is the rate of change of displacement.

To solve this problem we need to use the formula for calculating the velocity of  an object in circular motion

The Velocity of the satellite is given as

V = ωr................ Equation 1

where V = velocity of the satellite, ω = angular velocity of the satellite, r = radius of the circle.

Note: r = height of the satellite above the surface of the earth+Radius of the earth

From the question,

Given: ω = 7.25×10⁻⁵ rad/sec, r = 35600+6400 = 42000 km = 4.2×10⁷ m

Substitute these values into equation 1

V = (7.25×10⁻⁵)(4.2×10⁷ )

V = 30.45×10²

V = 3045 m/s

Hence, the velocity of the satellite is 3045 m/s

Learn more about velocity here: https://brainly.com/question/6237128

9. A student notices that wearing darker colors in sunlight makes him feel warmer, so he decides to conduct an experiment. He takes five pieces of different
colored cloth and wraps
each one around a water bottle. He then places all five bottles in direct sunlight and measures the temperature of the water in each bottle an hour later
What is the dependent variable in this experiment?
O the time he leaves it in the sunlight
O the amount of water in each bottle
O the color of the cloth
O the temperature of the water

Answers

Answer: 4

Explanation:

The dependent variable is the temperature of the water.

A parachutist of mass 56.0 kg jumps out of a balloon at a height of 1400 m and lands on the ground with a speed of 5.10 m/s. How much energy was lost to air friction during this jump

Answers

Answer:

769,048.28Joules

Explanation:

A parachutist of mass 56.0 kg jumps out of a balloon at a height of 1400 m and lands on the ground with a speed of 5.10 m/s. How much energy was lost to air friction during this bump

The energy lost due to friction is expressed using the formula;

Energy lost  = Potential Energy + Kinetic Energy

Energy lost  = mgh + 1/2mv²

m is the mass

g is the acceleration due to gravity

h is the height

v is the speed

Substitute the given values into the formula;

Energy lost  = 56(9.8)(1400) + 1/2(56)(5.10)²

Energy lost  = 768,320 + 728.28

Energy lost  = 769,048.28Joules

Hence the amount of energy that was lost to air friction during this jump is 769,048.28Joules

To control whether an object is solid or incorporeal (things can pass through it) you would use the:

Answers

Answer:

Gamma radiation or Cathode rays

Explanation:

by striking incident gamma or cathode rays onto the solid when placed on a photographic plate

how has evidence changed our views on the universe

Answers

Answer:

We found out more about how the universe had started (Big Bang theory), how the planets were created and how stars are born.

evidence change your views on the universe by making us see a different point of view. most people believe everything the media says and they stay with their opinion. others investigate like scientist

Which of the following actions will induce an emf in a conductor?
a. Move a magnet near the conductor.
b. Move the conductor near a magnet.
c. Rotate the conductor in a magnetic field.
d. Change the magnetic field strength.
e. all of the above

Answers

Answer:

b . Move the conductor near a magnet

Answer:

(e) all the above....

Explanation:

That's all

Cause you know.......

Which is the metric standard for measuring energy?

Which unit is used for specific heat capacity?

If you wanted to compare the abilities of olive oil and peanut oil to gain or lose thermal energy, which unit would you use?

Answers

Answer:

1. Joule

2. Specific heat capacity is defined as the amount of heat required to raise the temperature of 1 kilogram of a substance by 1 kelvin (SI unit of specific heat capacity J kg−1 K−1).

3. heat capacity units

Heat is a thermal energy, so by using heat capacity units you can compare the ability of olive oil and peanut oil to gain or lose thermal energy by varying its temperature.

Answer:

Which is the metric standard for measuring energy?

✔ joules

Which unit is used for specific heat capacity?

✔ J/g°C

If you wanted to compare the abilities of olive oil and peanut oil to gain or lose thermal energy, which unit would you use?

✔ J/g°C

Explanation:

did it on edge 2023

draw position time graph when speed is increasing​

Answers

Explanation:

We need to draw position-time graph when the speed is increasing.

The slope of position-time graph gives the speed of an object.

Position means distance covered.

When the speed of an object is increasing with time. It means it is moving with increasing speed.

The attached figure shows the position -time graph when speed is increasing​.

What type of reaction in the diagram?
B.Fission,because the reaction absorbed energy
C.Fusion,because the reaction formed heavier nuclei
D.Fission,because the reaction formed lighter nuclei

Answers

Answer:

b, i think

Explanation:

newtons _ law of motion states that every action has an equal and opposite reaction​

Answers

Answer:

3rd

Explanation:

3rd

I need help with science homework

Answers

Answer:

4. atmosphere and geosphere

5. atmosphere and hydrosphere

6. hydrosphere and geosphere (? not sure about this one sorry)

7. hydrosphere and geosphere

8. biosphere and geosphere

When is the object traveling at a constant velocity?

A
B
C
D
It is moving at a constant velocity the entire time

Answers

It is moving at a constant velocity at C

d

I think the most common way of doing it was for the first

Question
3.2
Calculate the value of critical angle for light passing from glass to air (given that refractive index of
glass - 1.5)​

Answers

Answer:

42°

Explanation:

From the question given above, the following data were obtained:

Refractive index (n) = 1.5

Critical angle (C) =?

The refractive index and the critical angle are related according to the following reaction:

n = 1 / Sine C

Thus, with the above formula, we can obtain the critical angle as follow:

Refractive index (n) = 1.5

Critical angle (C) =?

n = 1 / Sine C

1.5 = 1 / Sine C

Cross multiply

1.5 × Sine C = 1

Divide both side by 1.5

Sine C = 1 / 1.5

Sine C = 0.6667

Take the inverse of sine

C = Sine¯¹ (0.6667)

C = 41.8 ≈ 42°

Thus, the critical angle is approximately

42°.

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