If it is known that a motor battery has an input voltage of 12V and a capacity of 6 Ah, how much power and resistor value is required to turn on 8 lamps with a parallel circuit, with the specifications of each lamp having a maximum voltage of 3V and an electric current of 140 mA? How long did all the lights go on until they off?

Answers

Answer 1

Answer:

Part A

The power to turn on the lamp, ∑P = 3.36 W

Part B

The Resistor required is approximately 8.04 Ohms

Part C

The time for all the lights to go out is approximately 21.43 hours

Explanation:

The input voltage of the motor battery , V = 12 V

The capacity of the battery, Q = 6 Ah

The number of lamps in parallel = 8 lamps

The maximum voltage of each lamp,  = 3 V

The electric current in each lamp = 140 mA

The energy available in a battery, E = Q × V

For the battery, we have;

E = 6 Ah × 12 V = 72 Wh

The energy available in a battery, E = 72 Wh

Part A

The power used by the lamps, [tex]P_i[/tex] = [tex]I_i[/tex] × [tex]V_i[/tex]

∴ The total power used by the lamp, ∑P = 8 × 0.14 A × 3 V = 3.36 W

The power to turn on the lamp, ∑P = 3.36 W

Part B

The resistance required, is given as follows;

Resistor required = (Battery voltage - Lamp voltage)/(The sum of bulb current)

∴ Resistor required = (12 V - 3 V)/(8 × 0.14 A)

The Resistor required = 8.03571429 Ohms

The Resistor required ≈ 8.04 Ohms

Part C

The time for all the lights to go out = The time for the lamps to use all the power available in the battery

The time for all the lights to go out, t = E/∑P

∴ t = 72 Wh/(3.36 W) = 21.4285714 h

∴ The time for all the lights to go out, t ≈ 21.43 h

The time for all the lights to go out = The time for the lamps to use all the power available in the battery = t ≈ 21.43 h

∴ The time for all the lights to go out ≈ 21.43 hours.


Related Questions

Two resistors, 2.50 Ω and 4.95 Ω, are wired in series to a 12.00 V battery. What is the equivalent resistance of the circuit?

Answers

Answer:

7.45 Ω

Explanation:

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

Resistor 1 (R₁) = 2.50 Ω

Resistor 2 (R₂) = 4.95 Ω

Voltage (V) = 12 V

Equivalent Resistance (Rₑq) =?

Since the resistors are in series arrangement, the equivalent resistance can be obtained as follow:

Rₑq = R₁ + R₂

Rₑq = 2.5 + 4.95

Rₑq = 7.45 Ω

Therefore, the equivalent resistance is 7.45 Ω

An object is located 20.0 cm from a convex lens. The lens focuses light at a
distance of 10.0 cm. What is the image distance?

A. 6.67 cm
B. -6.67 cm
C. -20.0 cm
D. 20.0 cm

Answers

The Answer Is :  D. 20.0 cm

My Reason : These types of problems can all be solved using the lens or mirror equation.

1/20 +1/q= 1/10

q=20 cm

The image is formed behind the lens at 2f or the center of curvature.

It is real, inverted, and the same size as the object

The Answer Is: D. 20.0 cm

Explanation: I did the test :)

The Doppler Effect is caused by which of the following?

Select all that apply…

A - motion of the source

B - the type of wave

C - original frequency of the source

D - motion of the observer

E - type of medium the wave is in

Answers

Answer:

the type of wave

Explanation:

Description: Doppler Effect works on both light and sound objects. For instance, when a sound object moves towards you, the frequency of the sound waves increases, leading to a higher pitch. Conversely, if it moves away from you, the frequency of the sound waves decreases and the pitch comes down.

Static electricity is an excess of charge.
A. True
B. False

Answers

it is very true for reasons

Answer:

Its true

Explanation:

A 2.5m long steel piano wire has a diameter of 0.5cm how great is the tention in the wire if it stretches by 0.45cm when tightened taking the young's modulus to be 2.0×10^11 N/m^2

Answers

Answer:                 Their u go i found it their was about 3 pages i did not no what pages u had to do.

Explanation:


Which of the following scenarios would result in an increase of kinetic
energy?*

A) An object at rest at a height of 10 meters
B) A car accelerating from 10 m/s to 20 m/s
C) A car coming to a stop

Answers

B) car accelerating from 10 to 20

Answer:

B) A car accelerating from 10 m/s to 20 m/s

Explanation:

I explained this yesterday.

Friction and air resistance are forces that always:


1.) Balance out, having no effect on the net force.

2.) Act in the opposite direction to an object's motion, tending to slow it down.

3.) Pull objects down towards the center of the Earth.

4.) Cause objects to speed up.

Answers

2 act in the opposite direction. To an objects motion, tending to slow it down

Does the eruption from a volcano represent force

Answers

Answer:

Yes, because of the force of gas exploding the volcano from pressure is a force.

All waves change speed when they enter a new medium, but they don't always bend. When does bending occur?

Answers

Bending occurs when one side of the wave enters the new medium before the other side of the wave. ... The bending occurs because the two sides of the wave are traveling at different speeds.

PLSS HELPP

Are humans evolving? What will humans look like in 100,000 years in the future or longer?

Answers

Answer:

yes

Explanation:

Please Help Me!!!
Water is a colorless and odorless liquid. It can exist in solid, liquid, and gas states. It boils at 100 degrees C and melts at 0 degrees C.
Which option best describes this information?
A.
These are the physical properties of water.
B.
These are the chemical properties of water.
C.
These are the physical changes water undergoes.
D.
These are the chemical changes water undergoes.
E.
These are the molecular changes water undergoes.

Answers

Answer:

There are the molecular changes water undergoes

The half-life of technetium-99 is 6 hours.How much of a 100 milligram sample of
technetium-99 will remain after 30 hours? *
O 3.125 mg
O 12.5 mg
O 6.25 mg
O 1.56 mg

Answers

6.25 mg ...............

Three people push a piano on wheels with forces of 130 N to the right, 150 N to the left, and 165 N to the right. What is the strength and direction of the net force on the piano?

Answers

Answer:

45 N to the right possibly?

A 100 L ball is blown up inside at 200K. It is then taken outside in the hot sun, and the volume increases to 150 L. What is the new temperature?​

Answers

Answer:

Temperature, T2 = 300 Kelvin

Explanation:

Given the following data;

Initial volume = 100 Liters

Initial temperature = 200 Kelvin

Final volume = 150 Liters

To find the final temperature T2, we would use Charles' law.

Charles states that when the pressure of an ideal gas is kept constant, the volume of the gas is directly proportional to the absolute temperature of the gas.

Mathematically, Charles is given by;

[tex] \frac {V}{T} = K[/tex]

[tex] \frac{V1}{T1} = \frac{V2}{T2}[/tex]

Making T2 as the subject formula, we have;

[tex] T_{2}= \frac{V_{2}}{V_{1}} * T_{1}[/tex]

Substituting into the formula, we have;

[tex] T_{2}= \frac{150}{100} * 200[/tex]

[tex] T_{2}= 1.5 * 200 [/tex]

Temperature, T2 = 300 Kelvin

Give 1 real life example of a scenario that takes advantage of the inverse relationship between force and time when impulse is constant. Describe how it is an example of impulse and how force and time are involved.

Answers

Answer:

On real life example of a scenario that takes advantage of the inverse relationship between force and time when impulse is constant is when making a serve with a lawn tennis racket

How It is an example of impulse is that when a serve is made by moving the bat slowly, the lawn tennis player uses less force and the ball is in contact with the string for longer a period

When however, the lawn tennis player moves the racket faster, with the strings of the racket highly tensioned  he uses more force and the ball also spends less time on the racket to produce the same momentum

Explanation:

The impulse of a force, ΔP is given by the following formula;

ΔP = F × Δt

Where ΔP is constant, we have;

F ∝ 1/Δt

Therefore, for the same impulse, when the force is increased, the time of contact is decreases and vice versa.

A squash ball with an initial velocity of 19.21 m/s [W] is hit by a squash racket, changing its velocity to 40.22 m/s [E] in 0.312 s. What is the squash ball’s average acceleration?

Answers

Acceleration = (change in velocity) / (time for the change)

Change in velocity = 59.43 m/s East

Time for the change = 0.312 s

Acceleration = 190.5 m/s^2 East

Waves that move through space are called

Answers

Answer:

Electromagnetic waves are waves that can travel through matter or through empty space

A 20 g block of ice is cooled to −65 ◦C. It

is added to 570 g of water in an 76 g copper

calorimeter at a temperature of 26◦C.

Find the final temperature. The specific

heat of copper is 387 J/kg ·

◦C and of ice is

2090 J/kg ·

◦C . The latent heat of fusion of

water is 3.33 × 10^5

J/kg and its specific heat

is 4186 J/kg ·

◦C .

Answer in units of ◦C.

Answers

Answer:

The final temperature is approximately 23.55°C

Explanation:

The given parameters are;

The mass of the ice block, m₁ = 20 g

The initial temperature of the block, T₁ = -65°C

The mass of the water to which the block is added, m₂ = 570 g

The mass of the copper container containing the water, m₃ = 76 g

The initial temperature of the water and the copper, T₂ = 26°C

The specific heat capacity of copper, c₃ = 387 J/(kg·°C)

The specific heat capacity of ice, c₄ = 2,090 J/(kg·°C)

The latent heat of fusion of ice, l = 3.33 × 10⁵ J/kg

The specific heat capacity of water, c₁ = 4,186 J/(kg·°C)

We have;

ΔQ = m₁·c₁·ΔT + m₁·l = m₂·c₂·ΔT + m₃·c₃·ΔT

Therefore, we get;

20 × 2,090 × -65 +  20 × 3.33 × 10⁵ + 20 × T × 4,186  = 570 × 4,186 × (26 - T) + 76 × 387 × (26 - T)

Using a graphing calculator, we get;

83720·T + 3943000 = 62801232 - 2415432·T

The final temperature, T ≈ 23.55 °C

Which describes the motion in a convection current? horizontal motion only vertical motion only linear motion circular motion

Answers

Answer:

circular motion

Explanation:

Circular motion can be regarded as

movement of particular object along the circumference in a circle. It is

rotation of particular object along a circular path. Circular motion could be

uniform, along with constant angular rate of rotation as well as constant speed. It could also be non-uniform along with changing rate of rotation. The acceleration that is been experienced when one is in uniform circular motion is called"Centripetal acceleration"

Convection currents is type of current that takes place after a reservoir of fluid has been heated at the bottom, then cool at the top.the fluid expand as a result of Heat , then density decreases, the plates on top of them is been carried as a result of circular motion of the convection

A convention current is a circular movement which is set up due to temperature difference between two layers of a fluid.

What is a convection current?

A convention current is a movement which is set up due to temperature difference between two fluids.

Convection currents are set up in liquids and gases.

Hotter and less dense fluids move upwards while colder and denser fluids move downwards.

Therefore, convection currents involve circular motion.

Learn more about convection currents at: https://brainly.com/question/25957304

The _____________ variable is observed, measured, and affected by the independent variable.​

Answers

the dependent variable

Answer: It would be the dependent variable.

Explanation:

The dependent variable is limited and can be affected by the changes and manipulation of the independent variable.

What do you call the shot that starts on the right side and continues through to the left
side for a right handed player?

Answers

Answer:

When a right-handed golfer’s tee shot curves to far to the left, the shot is described as a “hook.” This shot typically occurs when the club head moves across the ball from left to right, imparting side-spin on the ball

A meter is larger than a
A.
hectometer
B.
kilometer
C.
decimeter
D.
dekameter

Answers

I think the best answer is Decimeter

Which type of map best shows the three dimensions of Earth’s surface?

Answers

Answer:

please give me brainlist and follow

Explanation:

topographic map

A topographic map shows a three-dimensional representation of a flat surface. It has contour lines joining points of equal elevation; the closer the lines are the steeper the elevation is.

Blackie, a cat whose mass is 6-kg, is napping on top of the refrigerator when he rolls over and fall. Blackie has a KE of 90-J just before he lands on his feet on the floor.

How tall is the refrigerator?

Answers

To answer this question, you need to understand the law of conservation of energy. Essentially, the law states that energy cannot be created or destroyed; it is always conserved.

Knowing this law, how can we answer this question? Well, let's look at what the question tells us. We know that Blackie was initially at the top of a refrigerator before rolling over and falling to the ground. At ground level, he only has Kinetic energy when he lands. Since we know that he started at the top of the fridge, we know that Blackie started off with potential gravitational energy.

That would make sense, right? Written out as an equation, it'd be:

[tex]U_{g}[/tex] = [tex]K_{E}[/tex]

This follows the law of conservation of energy, as all the potential gravitational energy is converted into Kinetic energy.

Now, we know what energies are converted. What can we do with it? Recall the equation of potential gravitational energy:

[tex]U_{g}[/tex] = [tex]F_{g}[/tex]∆H

[tex]U_{g}[/tex] = mg∆H

Do you see it now? ∆H is the distance that Blackie falls, and since Blackie jumps from the fridge to the ground, ∆H must be the height of the fridge!

Let's start solving for ∆H:

[tex]U_{g}[/tex] = [tex]K_{E}[/tex]

Substitute potential gravitational energy with our equation:

mg∆H = [tex]K_{E}[/tex]

We were given the value of Kinetic Energy:

mg∆H = 90

Isolate ∆H by dividing both sides by mg:

∆H = [tex]\frac{90}{mg}[/tex]

Input values for 'm' and 'g' (m is the mass of Blackie and g is Earth's acceleration)

∆H = [tex]\frac{90}{6*9.80}[/tex]

∆H = [tex]\frac{90}{58.8}[/tex]

∆H = 1.53

The refrigerator is 1.53 meters tall.

And that's it! Let me know if you need me to explain anything I did here.

- breezyツ

how fossils influence and change our understanding of the history of Earth and it's species.

Answers

Answer:

Fossils are the preserved remains or traces of animals, plants, and other organisms from the past. Fossils are important evidence for evolution because they show that life on earth was once different from life found on earth today.

Explanation:

Define the types of friction and give FOUR examples of each
Static Friction
Rolling Friction
Sliding Friction
Fluid Friction

Answers

Static Friction is the force that keeps an object at rest
example: pushing against a heavy box but it isnt moving due to the weight of the box and gravity pulling it down

Rolling friction is a resistive force that slows down something thats rolling such as a ball or a wheel
example: a rolling soccer being slowed down from grass

Sliding Friction is the friction created from two object sliding against eachother, just like kinetic friction. It is intended to make the object stop
example: A sled sliding down a hill against snow

Fluid Friction is the force that resist motion in fluid or something moving around a fluid.
example: water pushing against a swimmer when swimming through it

GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 23pts-

Answers

Answer:

B is the answer!!

Explanation:

Light waves are


A.rotating waves.
B.longitudinal waves.
C.circular waves.
D.transverse waves

Answers

SHOCKING

Explanation:

Answer:

D i promises.

Explanation:

light waves can go 2 direction

A baseball is thrown with a speed of 36 meters per second (m/s). What is the distance from the mound to home plate if the ball takes 0.5 seconds to leave the pitcher's hand and cross the plate? A-72 B-18 C-41 D-31 Help me out please

Answers

Answer:

d = 18 m

Explanation:

Given that,

The speed of a baseball, v = 36 m/s

We need to find the distance from the mound to home plate if the ball takes 0.5 seconds to leave the pitcher's hand and cross the plate.

Let the distance be d. We can find it using the formula,

Speed = distance/time

or

[tex]d=vt\\\\d=36\times 0.5\\\\d=18\ m[/tex]

So, the required distance is equal to 18 m.

A 5 kg ball is sitting on top of a hill. It has a Potential Energy of 6000J. What is the height of the ball?​

Answers

Explanation:

mass=5 kg

potential energy=6000j

height=?

Now

potential energy =m.g.h

or 6000=5*9.8*h

or 6000=49h

or 6000÷49=h

or h= 122.45m

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