when two capacitors are connected in series, the effective capacitance is 2.4muF and when connected in parallel, the effective capacitance is 10muF. calculate the individual capacitances.​

Answers

Answer 1

Answer:

let one capacitor be x and other be y

[tex]in \: parallel \: connection : \\ \frac{x + y}{xy} = 10 \times {10}^{ - 6} - - - (a) \\ in \: series \: connection : \\ x + y = 2.4 \times {10}^{ - 6} - - - (b) \\ in \: (a) : \\ \frac{2.4 \times {10}^{ - 6} }{xy} = 10 \times {10}^{ - 6} \\ xy = 0.24 - - - (c) \\ from \: (b) : \\ y = (2.4 \times {10}^{ - 6} ) - x \\ \therefore \: in \: (c) : \\ x(2.4 \times {10}^{ - 6} - x) = 0.24 \\ 2.4 \times {10}^{ - 6} x - {x}^{2} = 0.24 \\ {x}^{2} - 2.4 \times {10}^{ - 6} x - 0.24 = 0 \\ x = 0.5 \\ 0.5y = 0.24 \\ y = 0.48 \\ { \boxed{ C _{1} = 0.5 \: farads}} \\ { \boxed{C _{2} = 0.48 \: farads}}[/tex]


Related Questions

as light passes from water into air it has a refracted angle of 35 degrees. calculate the incident angle of the light.

Answers

I think it’s 44 but I’m not sure

The motor of a boat develops 48 kW when the boat's speed is 12 km/h. With how much force does the water resist the motion of the boat?

Answers

It resists a lot because of the amount of power going on

when two resistors, having resistance R1 and R2, are connected in parallel, the equivalent resistance of the combination is 5Ω. what statement would be true about the resistances?

Answers

Answer:

The correct option is: (A) Both R 1 and R 2 are greater than 5 Ω. Explanation: The equivalent resistance in parallel is smaller than the smallest resistance.

Explanation:

hopefully it helps- ^^

please help me with this question.... thank u ❤️​

Answers

Answer:

20 degrees

Explanation:

Because projectile has the same range on both angles which on summation gives 90 degrees as a total.

A cyclist is taking part in the Tour de France, which is a bicycle race that takes place every year.
a Two forces acting on the cyclist are weight and reaction. Name two other forces acting on him
as he cycles along.

Answers

Solve the following word problems.
1. The ratio of red marbles and blue marbles that Carlo has is 8: 3. When he
exchanged 35 red marbles for 20 blue marbles from his brother, he was left with
equal number of red and blue marbles.
How many red and blue marbles did he have at the beginning
How many red and blue marbles did he have now

A 45000 watt crane operating at full power lifts a 2100 kg object vertically for 17.4 seconds. How high has the crane lifted the object?

Answers

Answer:

Explanation:

We need the power equation here, which is:

Power = (F * Δx)/time

where F * Δx is the amount of work done.

F is a force which is measured in Newtons. We are given the mass of the object, but since we need a Force measure, we need the weight of the object:

F = 2100(9.0)

F = 21000 to the correct number of sig dig.

Now we can plug in the values we have and solve for the displacement, Δx:

[tex]45000=\frac{21000x}{17.4}[/tex] and isolating x:

[tex]\frac{17.4(45000)}{21000}=x[/tex] so

x = 37 m

Un objeto de masa de 250 g es arrastrado sobre una superficie con una velocidad de 25 m/s. Determina la energía cinética que pose

Answers

Contenido:

→  Energía cinética

Ecuación

[tex]\large {\boxed {\bf E_c = \cfrac{mv^2}{2} }}[/tex]

                                               

La energía cinética de la masa se da en kilogramos, por lo que tendremos que convertir gramos a kilogramos...

[tex]\large {\text {$ \blue {\sf 250 g \rightarrow 0,25 kg }$}}[/tex]

Entonces tendremos:

[tex]\large {\text {$ \purple {\sf E_c = \cfrac{ 0,25 \cdot 25 }{2} \rightarrow \quad \cfrac{6,25}{2} = 3,125} $}}[/tex]

[tex]\large {\boxed {\boxed {\boxed {\bf E_c = 3,125 }}}}[/tex]

Can someone explain to me why Ohms law stops working when the temperature of the component increases?

Answers

Answer:

Ohm's law verifies that current directly varies with voltage, when resistance increases, current current decreases.

When temperature increases, the electrons gain more average kinetic energy increases and current increases as well.

In the same situation, resistance also increases because atoms of a component vibrate at higher amplitudes about their mean positions hence reducing the free path of electrons. This increases resistance, hence ohms law violated or disobeyed.

This generates the temperature coefficient of resistance

4. A cell membrane contains all of the following EXCEPT:*
O glycolipids
phospholipids
sphingolipids
steroids
none of the above

Answers

Answer:

The correct answer is - none of the above.

Explanation:

Cell membranes or plasma membranes of the cell are composed mainly of fatty-acid-based lipids and proteins. Membrane lipids are of two types majorly, glucolipids, phospholipids, and sterols (generally cholesterol).

Sphingolipids are also a structural component of the cell membrane that helps in segregation into distinct membrane domains. Glycolipids are present on the surface of the plasma membrane.

Two examples of chemical reactions that involved a thermal energy change:
1. NH4NO3 (s) + heat ---> NH4+ (aq) + NO3 (aq)
2. CaCl2 (s) + 2H20 ---> Ca(OH)2 (aq) + 2HCl (g) + heat
Which is exothermic? Which is endothermic? How do you know?

Answers

Answer:

Option 1 is endothermic

Option 2 is exothermic

Explanation:

In Chemistry, Exothermic reactions are reactions whereby heat energy is transferred to the surroundings and the temperature of the surroundings increases. Endothermic reactions are those whereby heat energy from the surroundings is absorbed and thereby making the temperature of the surroundings to decrease.

This means in simple terms that endothermic reactions will have heat on the reaction side of the equation while exothermic will have heat on the product side of the equation.

Thus;

Option 1 is endothermic since it has heat absorbed on the reactant side.

Option 2 is exothermic since it gives off heat on the product side.

Please help ASAP
у.
B
C
Position (m)
A А
0
1
2
3
4
5
6
7
8
9
10
11
12
Time (s)
The graph describes the motion of an object.
The object moves with
from A to B. It
from B to C. It moves
from C to D.

Answers

Answer:

a10

Explanation:

An airplane is .68 Kilometers long. How many Millimeters long is the plane?
a. 680 mm
b. 6,800 mm
c. 68,000 mm
d. 680,000 mm

Answers

Given : Airplane is 0.68 kilometers long

We know that :

  1 km = 1000 meters

⊕   1 m = 1000 millimeters

⇒   1 km = (1000 × 1000) millimeters

⇒   0.68 km = (0.68 × 1000 × 1000) millimeters

⇒   0.68 km = 680,000 millimeters

Answer: Airplane is 680,000 millimeters long

If an airplane is 0.68 Kilometers long, the length of the airplane in millimeters would be 680000 Millimeters, therefore the correct answer is option D.

What is a unit of measurement?

A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind.

As given in the problem, If an airplane is 0.68 Kilometers long, then we have to find out the length of the airplane in millimeters,

1 kilometers = 1000 meters

1 meter = 100 centimeters

1 centimeters = 10 millieters

As given the length of the plane is 0.68 Kilometers.

0.68 kilometers = 680 meters

0.68 kilometers = 680×100 centimeters

0.68 kilometers = 680×100×10  millimeters

                           = 680,000 millimeters

Thus, the correct answer is option C.

To learn more about the unit of measurement from here, refer to the link;

brainly.com/question/12629581

#SPJ2

Convection currents are the rising and sinking of warmer and cooler materials due to their densities. Why does the warmer magma do this?

Answers

Answer:

See Explanation

Explanation:

Convection is a mode of heat transfer which involves the actual movement of the particles of a substance.

The hotter particles move upwards and are replaced by the cooler particles, thus a convection current is set up. This is due to the fact that cooler particles are denser than warmer particles.

Warm magma is found far beneath the earth. It rises to the surface due to convection current thereby leading to volcanos. Volcanic eruptions result from convection currents that occur underground.

If an object's surface area is smaller does it create more or less pressure?

Answers

Answer:

When the surface area is less the pressure exerted by the object is more. However, when the surface area is large, the points of contact between the object and the pressure. Thus, less pressure is exerted by the body on the surface.

Explanation:

hope it helps

If the surface area of an object is smaller, it will create more pressure

An object's surface area is inversely proportional to its pressure.

This can be demonstrated from the formula below

Pressure:

The can be defined as the perpendicular force acting per unit area. the S.I  unit of pressure is N/m².

Formula:P = F/A.................. Equation 1

Where: P = Pressure of the objectF = Force acting on the objectA = Surface area of the object.

In View of the above equation, It can be seen that as the surface area of an object reduces the pressure created by the object will increase.

Hence, If the surface area of an object is smaller, it will create more pressure

Learn more about pressure here: https://brainly.com/question/25736513

Which of the following statements is NOT correct?
A. If the forces on an object are balanced, then the object can be at a constant speed.
B. If the forces on an object are balanced, then the object can be at rest.
C. If the forces on an object are unbalanced, then the object can be accelerating.
D. If the forces on an object are unbalanced, then the object can be at rest.

Answers

The answer is
D:if the

Which one of the following is an example of a solution?
a. Sand particles in water
b. Orange Squash
c. Vinegar
d. Paint

Answers

Answer:

it is maybe A but i'm not 100% sure

Explanation:

its the only one that is mixed

2 um means
(A)
(B)
(C)
(D)
2 x 10 m
2 x 10 m
2 x 103 m
2 x 10-6 m

Answers

Answer:

Looks like its c 2x 10 m

Explanation:

i do see the question

the value of 'g' changes as per its position on the earth's surface.justify the statement​

Answers

Answer:

PLEASE MARK ME AS A BRAINLIEST

Explanation:

There are slight variations in the value of g about earth's surface. These variations result from the varying density of the geologic structures below each specific surface location. They also result from the fact that the earth is not truly spherical; the earth's surface is further from its center at the equator than it is at the poles. This would result in larger g values at the poles. As one proceeds further from earth's surface - say into a location of orbit about the earth - the value of g changes still.

Which circuit component usually acts as a switch or amplifier?
O A. A transistor
O B. A capacitor
O C. A resistor
D. A battery

Answers

Answer:

The answer is A. A transistor

Answer:

a transistor

Explanation:

A P E X


Which statement best compares potential and kinetic energy?
O Objects always have more potential energy than kinetic energy.
O Kinetic energy increases and potential energy decreases when the velocity of an object increases.
O Only potential energy decreases when an object's height increases.
O Objects always have more kinetic energy than potential energy.
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

B . Kinetic energy increases and potential energy decreases when the velocity of an object increases.

Explanation:

The statement with best compares potential energy and kinetic energy is that only kinetic energy increases when the velocity of the object increases.

A spiral spring is compressed by 0.1cm. calculate the elastic potential energy in the spring if the stiffness of the spring is 100Nm^1

Answers

Answer:

[tex]E=5\times 10^{-5}\ J[/tex]

Explanation:

Given that,

A spring is compressed by 0.1 cm or 0.001 m

The spring constant of the spring, k = 100 N/m

The elastic potential energy in the spring is given by :

[tex]E=\dfrac{1}{2}kx^2\\\\E=\dfrac{1}{2}\times 100\times 0.001^2\\\\E=5\times 10^{-5}\ J[/tex]

So, the elastic potential energy of the spring is equal to [tex]5\times 10^{-5}\ J[/tex].

Convert 162 km/h into m/s.

Answers

Answer:

45 m/s

Explanation:

162 / 3.6 = 45 m/s

Divide by 3.6 to convert km/h to m/s.

metre is the unit of dash.​

Answers

Answer:

Length is the unit of metre

Answer:

From the meter, several other units of measure are derived such as the: unit of speed is the meter per second (m/s).

...

Units of Length

10 millimeters (mm) = 1 centimeter (cm)

10 decimeters = 1 meter (m)

10 decimeters = 1000 millimeters

10 meters = 1 dekameter (dam)

Which term is the product of force and distance?

power
work
net force
acceleration

Answers

Answer:

work

Explanation:

it is a scalar quantity. it is equal to product of force and distance if the direction of motion is in direction of force in straight line

Answer:

work

Explanation:

:>)

Q.2.
Write the unit to measure the following.
a) Length of edge of a table
b) Weight of your body
c) Quantity of milk​

Answers

Answer:

a) Metres (m)

b) Kilogram (kg)

c) litres (l)

Water can exist in three states: solid (ice), liquid and gas (steam).In which state, or states, is the motion of the molecules only vibrational?

Answers

Answer:

solid

Explanation:

Answer:

In the solid state, the motion of molecules is only vibrational, because solids are very tightly packed together and cannot move other than by vibrating

Un reloj de péndulo de largo L y período T, aumenta su largo en ΔL (ΔL << L). Demuestre que su período aumenta en: ΔT = π ΔL /√(L g)

Answers

Answer:

 ΔT = [tex]\pi \ \frac{\Delta L}{\sqrt{Lg} }[/tex]

Explanation:

In a simple harmonic motion, specifically in the simple pendulum, the angular velocity

          w = [tex]\sqrt{\frac{g}{L} }[/tex]

angular velocity and period are related

          w = 2π / T

we substitute

          2π / T = \sqrt{\frac{g}{L} }

          T = [tex]2\pi \ \sqrt{\frac{L}{g} }[/tex]

In this exercise indicate that for a long Lo the period is To, then and increase the long

          L = L₀ + ΔL

we substitute

           T = [tex]2\pi \ \sqrt{\frac{L + \Delta L}{g} }[/tex]

            T = [tex]2\pi \ \sqrt{\frac{L}{g} } \ \sqrt{1+ \frac{\Delta L}{L} }[/tex]

in general the length increments are small ΔL/L «1, let's use a series expansion

           [tex]\sqrt{1+ \ \frac{\Delta L}{L} } = 1 + \frac{1}{2} \frac{\Delta L}{L} + ...[/tex]  

we keep the linear term, let's substitute

           T = [tex]2\pi \ \sqrt{\frac{L}{g} } \ ( 1 + \frac{1}{2} \frac{\Delta L}{L} )[/tex]  

if we do

           T = T₀ + ΔT

           

           T₀ + ΔT = [tex]2\pi \sqrt{\frac{\Delta L}{g} } + \pi \ \sqrt{\frac{L}{g} } \ \frac{\Delta L}{L}[/tex]

            T₀ + ΔT = T₀ + [tex]\pi \sqrt{\frac{1}{Lg} } \ \Delta L[/tex]

            ΔT = [tex]\pi \ \frac{\Delta L}{\sqrt{Lg} }[/tex]

When should a bar graph be used?
A. When the independent variable is composed of categories and does not show a
relationship
B. When the independent variable is continuous and does not show a relationship to the
dependent variable.
C. When the independent variable is continuous and shows a causal link to the
dependent variable,
D. When there is no independent variable.

Answers

Answer:

B. When the independent variable composed of categories and does not show a relationship to the dependent variable

Explanation:

A bar graph, is a graph used for presenting data grouped into categories, which are the independent variables of the graph, and the measurement of each category, which are represented as rectangular bars having lengths proportional to the value of the category, on a chart

In the bar graph or chart, there is no direct relationship between the categories, which are the x-values and the dependent variables , which are the length of the bars, the y-values, as the length of the rectangular bar in one category, cannot be obtained from another category through a relationship

Therefore, the correct option is option is when the independent variable composed of categories and does not show a relationship to the dependent variable

A gas in a sealed container has a pressure of 50 kPa at 27°C. What will the pressure of the gas be if the temperature rises to 87°C?

Answers

Answer:

the final pressure of the gas is 60 kPa.

Explanation:

Given;

initial pressure of the gas, P₁ = 50 kPa = 50,000 Pa

initial temperature of the gas, T₁ = 27⁰ C = 27 + 273 = 300 k

final temperature of the gas, T₂ = 87⁰ C = 87 + 273 = 360 K

Let the final pressure of the gas = P₂

Apply pressure law;

[tex]\frac{P_1}{T_1} = \frac{P_2}{T_2} \\\\P_2 = \frac{P_1T_2}{T_1} = \frac{50,000 \times 360}{300} = 60,000 \ Pa = 60 \ kPa[/tex]

Therefore, the final pressure of the gas is 60 kPa.

An astronaut wearing a space suit floats in the middle of a room with no air (i.e. vacuum) and is 20.0 m from any wall, the floor and the ceiling. She needs to get to the door so she can go with her NASA friends to eat a hamburger. She has only a book and a pencil in her possession. She cannot call for help since something is interfering with her signal. Under these conditions, how can she get to the door

Answers

Answer:

To get to the door, the astronaut has to throw the book and pencil away from her in the direction opposite to that of the door.

Explanation:

Since no net force acts on her and she floats in the center of the room, if she throws the book and pencil away from her, since both her, the book and the pencil have an initial momentum p = 0, and since momentum is conserved, then after throwing the book and pencil away from her, the momentum of both her, the book and pencil is still zero.

The astronaut will thus develop a momentum which is opposite to that of the book and pencil. This is shown below.

Since p = p' where p = initial momentum of astronaut, book and pencil = 0 and p' = final momentum of astronaut, book and pencil = mv + m'v' where m = mass of book and pencil, v = velocity of book and pencil, m' = mass of astronaut and v' = velocity of astronaut.

So, p = p'

0 = mv + m'v'

mv = -m'v' where mv = momentum of book and pencil and m'v' = momentum of astronaut

v' = -mv/m

We see that the astronaut develops a momentum opposite in direction but equal in magnitude to that of the book and pencil and will thus develop a velocity opposite to that of the book and pencil.

Thus, to get to the door, the astronaut has to throw the book and pencil away from her in the direction opposite to that of the door.

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