Find the energy u of the capacitor in terms of c and q by using the definition of capacitance and the formula for the energy in a capacitor

Answers

Answer 1

The formula for the energy in a capacitor , u in terms of q and c is q²/2c

What is the energy of a capacitor?

The energy of a capacitor u = 1/2qv where

q = charge on capacitor and v = voltage across capacitor.

What is the capacitance of a capacitor?

Also, the capacitance of a capacitor c = q/v where

q = charge on capacitor and v = voltage across capacitor.

So, v = q/c

The formula for energy of the capacitor in terms of q and c

Substituting v into u, we have

u = 1/2qv

= 1/2q(q/c)

= q²/2c

So, the formula for the energy in a capacitor , u in terms of q and c is q²/2c

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Related Questions

What does puddicombe describe as the result of not taking any time out to simply look after our brains?

Answers

According to Puddicombe, the result of  not taking any time out to simply look after our brains is that:

We get stressed. It also makes us to miss out on the most important things in life.

What was Puddicombe's submission?

In his popular talk, Puddicombe explained that we have been caught up with the internet and other activities so much so that we do not have time to look out for our brains.

For this reason, we stress our brains and become distant from the most important things in life.

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A particle moves along a straight line such that its acceleration is a=(4t^2-2)

Answers

The velocity of the particle moving along the straight line at any time, t is determined as v = 4t³/3 - 2t + C.

What is the velocity of the particle?

The velocity of an object is the rate of change of displacement with time. It is also the integral of acceleration of the object.

a = 4t² - 2

v = ∫a

v = 4t³/3 - 2t + C

Thus, the velocity of the particle moving along the straight line at any time, t is determined as v = 4t³/3 - 2t + C.

Complete question:

A particle moves along a straight line such that its acceleration is a=(4t^2-2). Find its velocity at any time, t.

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According to current evidence, Pluto is best described as ________. an escaped moon of Jupiter or Saturn a large member of the Kuiper belt a small jovian planet a terrestrial planet that is surprisingly far from the Sun

Answers

pluto is best decribed as smallest planet

5. In the image below, the focus lines are shown. What can be done to bring the apple into focus?
A. Make the lens rounder.
B. Make the lens flatter.
C. Move the apple farther from the eye.
D. Nothing should be done because the apple is already in focus.

Answers

In the image below, the focus lines are shown. The step can be done to bring the apple into focus is make the lens rounder. The correct option is A.

What is lens?

The lens is in spherical shape may be diverging or converging.

As light enters the eye, it is focused on the retina. Changing the pupil diameter, regulates the amount of light entering the eye. Changing lens shape will focus the light.

The changes in lens shape needed to maintain focus as the object distance changes.

Thus, the correct option is A.

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Would young rocks be found near a volcano?

Answers

Answer:

Yes, young rocks typically occur around volcanoes since they are closer to the crate, thus the magma is beginning to cool down to form rocks or it has recently cooled down.

Explanation:

yes

new forms of extrusive igneous rocks will be created as lava cooling and hardening will create new and young rocks

two conducting spheres ​

Answers

Answer:

[tex]\fbox {F: +3C, G: +3C}[/tex]

Explanation:

When two conducting spheres come in contact, their charges will become the mean of their charges. This takes place by the transfer of charges from the greater charged sphere to the lesser charged one.

Then :

⇒ F + G / 2

⇒ -14 + 20 / 2

⇒ 6/2

3C

∴ Hence, both sphere F and sphere G will have a charge of +3 C.

At first the contact force from mud on each wheel is 2000n explain why the wheels will start to sink

Answers

The wheels will start to sink due to no friction by the mud to take the grip.

What is frictional force?

When an object is moving on a rough surface, it experiences opposition. This opposing force is called the friction force.

Given is the contact force from mud on each wheel is 2000N  . Assume the only other force acting on the block is that due to gravity.

The friction force is given by

f = coefficient of friction x Normal or contact force

The mud is soft and viscous. When the wheels are rotating, the car will be sinking in mud. This happens due to no grip. Car tries to get out of the mud, but instead it digs itself.

Car needs grip or frictional force to get out from the mud. There is no friction with the ground. Exactly friction makes car's wheels to displace.

Thus, the wheels of the car sink because of no friction from mud.

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how to find the sum of a convergent series

Answers

The formula that can be used to obtain a convergent series is given by;

a/1 – r.

What is a series?

In mathematics, we define a series as sum of numbers which could be convergent or divergent. In a convergent series, the summation of the numbers approaches a given value.

The formula that can be used to obtain a convergent series is given by;

a/1 – r.

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When the humerus moves in the glenoid fossa, the moving joint surfaces are:

Answers

When the humerus moves in the glenoid fossa, the moving joint surfaces are convex on concave.

What is Glenoid fossa?

This is a bone depression in which the head of the humerus fits into to aid movement and support.

The moving joint surfaces are convex on concave in structure when humerus moves in the glenoid fossa.

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When your hand presses
down on scissors, what is your
force called?
a. input force
b. output force
c. buoyant force

Answers

Answer:

INPUT force

Explanation:

You are putting force into a machine of levers to have the output of cutting something.

When your hand presses down on scissors, the force is called input force because are applying a force into an object. Thus, option a is correct.

What is force ?

Force is an external agent acting on a body to deform it or to change its state from rest or motion. There are various kinds of force such as magnetic force, nuclear force, gravitational force etc.

Force is a vector quantity thus, it is characterised by a magnitude and direction. According to second law of motion, the force acting on a body is the product of mass and acceleration.

Hence, the force acting on a body is directly proportional to the mass. Greater the mass, greater will be the force needed to accelerate the body. When we press down on an object we are applying an input force to the object.

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The potential difference across the ends of a wire is doubled in magnitude. If ohm’s law is obeyed, which one of the following statements concerning the resistance of the wire is true?.

Answers

The potential difference across the ends of a wire is doubled in magnitude. If ohm’s law is obeyed, the resistance is not changed. Thus, option A is correct.

What is current?

The current is the stream of charges which flow inside the conductors when connected across the end of voltage.

From Ohm's law, V =IR

Here, R is the proportionality constant called the resistance of the resistor.

The complete question is given in the image attached.

The potential difference across the ends of a wire is doubled in magnitude.2V = IRR =2 V/IAs, the resistance is a constant value, it does not change.

The following statements concerning the resistance of the wire true is :

The resistance is not changed

Thus, the correct option is A.

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A student drops a water balloon out of a dorm window 17 m above the ground. What is its speed when it hits the ground?

Answers

so the answer is about 18.24 m/s

this is why:

the equation for calculating the height position from the acceleration due to gravity is
h(t) = -1/2(g)t^2 + vt + p

so in this case g, or the acceleration of gravity is 9.81, the initial velocity (v) is 0, and the initial position (p) is 17. once we plug in these numbers we get the equation h(t) = -4.91t^2 + 17

we know that height is zero when it hits the ground so we can use the quadratic equation to solve for when y is zero. since time cant be negative, then out answer is the positive zero of this equation, or 1.86.

once we know this then we can plug this amount of time into the equation
v(t) = gt + v

this means that the velocity after a certain time (t) is equal to the gravitational force, in this case 9.81, multiplied by the amount of time passed plus the initial velocity (v).
since we know the initial velocity is zero and the time that the balloon hit the ground (1.86), we can multiply the gravitational force, 9.81, by the time when it hits the ground (1.86) to get 18.24 m/s

John walked from his home to work, it took him 12 min and the distance covered was 3 km. calculate the average speed in m/s

Answers

Answer:

4.167

Explanation:

ittravels 4.167metres per second

give two examples of contact force and non contact force

Answers

Answer:

Explanation:

The two examples of contact forces are frictional force and applied force. The two examples of noncontact forces are gravitational force and magnetic force.

The kinetic energy of an object is proportional to the square of its _______?

Answers

Answer:

kinetic energy of an object is proportional to the square root of its boiling vocelity

Against the park ranger's advice, a visitor at a national park throws a stone horizontally off the edge of a 83 m high cliff and it lands a distance of 93 m from the edge of the cliff, narrowly missing a visitor below.
What was the initial horizontal velocity of the rock, in m/s? You can round your answer to the hundredths place and use g ≈ 10 m/s2.

Answers

the answer it would be 164 m

7.Name three values you could measure as scalars and three values you could measure as
vectors.

Answers

scalars: distance, speed, time

vectors: displacement, velocity, acceleration

a sample contains 100 g of radioactive isotope. How much radioactive isotope will remain in the sample after 1 half-life?

Answers

Answer:

[tex]\huge\boxed{50g}[/tex]

Definition:

Half-life- The time taken for half of the radioactive isotopes to decay.

Explanation:

How does radioactive decay work? Radioactive decay is a process by which unstable nuclei become more stable through the emission of alpha or beta particles or gamma rays.

Since a half-life is the time taken for half of the isotopes to decay, we can simply divide the initial mass of 100 grams by 2; this gives us 50 grams.

1) Divide 100g by 2.

[tex]\frac{100g}{2}=50g[/tex]

what are the classification of rectifier?













Thank uh ☘️

Answers

Explanation: A) half wave rectifier

B) Full wave rectifier :

1) central tapped

2) bridge rectifier

i hope this was helpful to you

What does it mean for the forces acting on an object to be balanced?

Answers

When the forces are said to be balance, it means that net force is zero.

What is Net force?

When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.

The resultant of all the forces in horizontal and vertical direction is zero, when the forces are balanced.

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Find the mass of a sample of water if its temperature dropped 24.8 °C when it lost 870 J of
heat. (Remember that specific heat capacity of water 4200 J/kg °C)

Answers

Answer:

8.35 × [tex]10^{-3}[/tex] kg

Explanation:

Remember the formula for heat:

[tex]Q=mc\Delta T[/tex]

You just need to solve for m, doing so you're left with:

[tex]m=\dfrac{Q}{c\Delta T}[/tex]

Replace the variables with numbers and that's it.

A ball is dropped from rest from the top of a high building. Ignore air resistance and take g = 9,8 m/s² calculate speed of the ball after 1sec.

Answers

The speed of the ball after one second is obtained as 9.8 m/s.

What is the speed after 1 second?

We know that  since the ball dropped from a height, its initial velocity is zero.

Thus we have;

u = 0 m/s

v = ???

g =  9,8 m/s²

t =  1sec

Given that;

v = u + at

v = at

v =  9,8 m/s² *  1sec

v = 9.8 m/s

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The length of a piece of tissue is 42 meters. How big is 3/7 of this piece?​

Answers

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

[tex]\large \bold {ANSWER}[/tex]

[tex]\large \boxed { \large \sf \green{18}}[/tex]

3/7 of the fabric equals 18.

[tex]\large \bold {SOLUTION}[/tex]

To find the solution to your task, we will have to find 3/7 of 42, that is. How much is 3/7 of 42?

So, to find the value we must do the following way, multiply the value of the length of the fabric 42, by the numerator of the fraction 3 and divide by the denominator 7, See:

[tex]\begin{gathered}\Large\begin{array}{c}\tt\dfrac{3}{7}\:in\: 42\\\\ \tt 42\cdot 3=126\\\\ \tt 126\div 7=\boxed{\boxed{\tt 18}}\end{array}\end{gathered}[/tex]

Hence, 3/7 of the fabric equals 18.

An object of mass 5 kilograms is moving across a surface in a straight line with a speed of 3.5 meters/second. what amount of force would be
required to keep the object in motion if you ignore the surface friction?
a 0 newtons
b 175 newtons
c 35 newtons
d 5 newtons

Answers

Taking into account the Newton's second law, the amount of force required to keep the object in motion if you ignore the surface friction is 0 N.

Newton's second law

In first place, acceleration in a body occurs when a force acts on a body. There are two factors that influence the acceleration of an object: the net force acting on it and the mass of the body.

Newton's second law states that this force will change the speed of an object because the speed and / or direction will change. These changes in velocity are called acceleration.

So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

F = Force [N]m = Mass [kg]a = Acceleration [m/s²]

Force required to keep the object in motion

In this case, you know:

F= ?m= 5 kga= 0 [tex]\frac{m}{s^{2} }[/tex]. Acceleration is a magnitude that measures the change in velocity in a given period. That is to say that if the object changes speed, that change is measured with acceleration. So if an object is moving at a constant speed, there is no change in speed and its acceleration is zero.

Replacing in Newton's second law:

F= 5 kg× 0 m/s²

Solving:

F= 0 N

Finally, the amount of force required to keep the object in motion if you ignore the surface friction is 0 N.

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Which of these is
considered "work"
according to
science?
A. pushing against a wall
B. babysitting
C. kicking a soccer ball

Answers

Answer:c

Explanation:work is force x distance. The wall doesn’t move any distance in A so that’s not work. B involves tasks that do work but I don’t think this is what they’re going for. For a short instance while kicking a ball, your foot is applying a force to the ball which moves a distance before following its own trajectory after contact with your foot. Because the contact has a short duration and isn’t instantaneous, this is work

In physics, work is the energy transferred to or from an object via the application of force along a displacement.


A kettle consumes 198 kJ to boil water. If 168 kJ was used to boil the
water, what is the efficiency of the kettle?

Answers

The efficiency of the kettle is 117.9%

What is efficiency?

Efficiency is used to measuring how much work or energy we can conserve in a process. In other words, it is like comparing the output of the energy to the input of the energy in any given system.

It is also define as the ratio of  Energy Input to the Energy Output. To express it in percent multiply it by 100.

Here, Efficiency = Energy output / Energy input

          [tex]η =\frac{W_{out} }{W_{in} } * 100[/tex]

[tex]η = \frac{198kJ}{168kJ} * 100[/tex]  

=  117.9%

So , the efficiency is 117.9%

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The chart lists four different kinds of atoms.

A chart titled Different Kinds of Atoms with the entries calcium, gold, argon, iodine.

What is true about all of these atoms?

They cannot be solids.
They are the largest units of matter.
They are the only types of atoms that exist.
They cannot be divided and still keep the properties of the element.

Answers

They cannot be divided and still keep the properties of the element true about all of these atoms. Option D is corect.

What is an atom?

The atom consists of matter that may be split without releasing electrical charges.

It's also the smallest unit of matter with chemical element features. As a result, the atom is the fundamental unit of science.

In the nucleus proton and the neutron is exists. The condition of the atom to be electrically neutral is that the number of the proton and electron should be the same.

They cannot be separated while still maintaining the element's characteristics for each and every one of these atoms.

Hence, option D is corect.

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Answer:

The correct answer is d, they cannot be divided and still keep the properties of the element.

Explanation:

You're welcome :)

Which statement correctly describes mass-energy equivalence? All energy in the universe will be converted to an equivalent amount of mass. Mass can decrease in nuclear changes without the production of energy. All energy in the universe is a result of mass being converted into energy. A large amount of mass is equivalent to a small amount of energy.

Answers

The statement 'all energy in the universe is a result of mass being converted into energy' correctly describes mass-energy equivalence.

What is mass-energy equivalence?

The expression mass-energy equivalence refers to the proportion of matter that can be converted into energy in the universe.

This mass-energy equivalence is an outcome of process of converting mass into energy.

In conclusion, the statement 'all energy in the universe is a result of mass being converted into energy' correctly describes mass-energy equivalence.

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Answer:

C

Explanation:

how can you tell the difference between an expression of speed and an expression of velocity?
A. velocity has unit expressed as distance/time; speed does not.
B. speed has units expressed as distance/time; velocity does not.
C. speed includes a direction; velocity does not.
D. velocity includes a direction; speed does not.

Answers

Answer= D. Velocity includes a direction; speed does not.

Velocity and speed both have the same units of m/s, so answers A and B are wrong.

Velocity is a vector quantity and so has direction and magnitude, so C is wrong.

Speed is a scalar quantity, only having magnitude and no direction.

9. A body is a particular amount of matter. It can be a solid, liquid or gas. It can be
described as existing in
O A. size and shape.
O B. time and space.
C. motion and force.
O D. location and movement.
ou fill be highlighted on the review page)

Answers

Answer:

B. Time and Space

Explanation:

Matter is a pshyical or corporeal susbtance in general, whether solid, liquid, or gaseous especially as distinguised from incorpeal substance, as spirit or mind, or form qualities, actions, and the

Within this time-and-space boundary, all matter exists. All matter is made up of atoms. Because these atoms take up space in the universe, solids, liquids, and gases are recognized as existing and may be found in all three dimensions.

Time is a figurative term. Space has three dimensions but time only has one.

Answer:

time and space (A)

Explanation:

When something physically exists, it must exist in time and space. Matter/atoms are recognized as existing--which must be described by existence in time and space.

> Time and space exist as the same property (time cannot exist without space), and is called space-time

> Time is seen as relative {theory of special relativity} meaning that it changes based on your perspective and the space it exists in.

hope this helps!!

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