Determine an expression for the charge on the capacitor as a function of time, q(t), in terms of parameters given in the original problem statement.

Answers

Answer 1

The expression for the charge on the capacitor as a function of time  is [tex]q(t) = q_0e^{-\frac{t}{RC} }[/tex].

Charge on capacitor as a function of time

Q = It

lnQ = -t/RC

ln(q - q₀) = -t/RC

[tex]q-q_o = e^{-\frac{t}{RC} }\\\\q = q_0e^{-\frac{t}{RC} }\\\\q(t) = q_0e^{-\frac{t}{RC} }[/tex]

where;

q is the charge R is resistanceC is capacitancet is time

Thus, the expression for the charge on the capacitor as a function of time  is [tex]q(t) = q_0e^{-\frac{t}{RC} }[/tex].

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Related Questions

A) prove that the electric field of the point charge is radial by comparing your values in column 5 (position angle) and in column 7 (electric field angle). Explain.

Answers

Electric field simply means an electric property that is associated with each point in a space when there is a charge present.

What is an electric field?

Your information is incomplete. Therefore, an overview of an electric field will be given.

An electric field simply means the physical field that surrounds particles that are electrically charged.

It should be noted that the electric field exerts force on the other charged particles that are in the field by either attracting or repelling them.

In conclusion, the SI unit of an electric field is volts per meter. This is also equivalent to Newton's per coulomb.

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csggggresddgdfgthxefecdtvh

Answers

Answer:

csggggresdd

...........

Answer:

yes :)

Explanation:

a mini rubric's cube has a with of 3cm. if the cube weighs 6grams calculate its density

Answers

Answer:

the density is 2

Explanation:

p= m/v

p is density

m is mass

v is volume

6/3 = 2

What is the efficiency of engine that exhausts 463J of heat in a process of doing 350 J of work?

Answers

a tendency to do nothing or to remain unchanged.

How could you increase the sliding friction between the sled and track? How could you decrease it?​

Answers

Answer:

You could put sheet metal lining the bottom or something similar to that

Explanation:

Explanation:

If the normal force is the weight of objects you are sliding across the floor, adding or subtracting weight will increase or decrease the sliding friction. But also, if you are pulling an object with a rope, pulling at an upward angle will reduce the normal force.

How is the strength of an electromagnetic affected by the number of turns of wire in coil

Answers

Answer:

The magnetic field strength of an electromagnet is therefore determined by the ampere-turns of the coil with the more turns of wire in the coil the greater will be the strength of the magnetic field

Explanation:

what is frictional force?
how to Express frictional force?

Answers

Answer:

Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: Dry friction is a force that opposes the relative lateral motion of two solid surfaces in contact.

Coefficient of friction, ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together. It is usually symbolized by the Greek letter mu (μ). Mathematically, μ = F/N, where F is the frictional force and N is the normal force.

When a fluid (liquid or gas) is heated. its volume increases in it sinks

True or false

Answers

Answer: True

Explanation: When the said fluid ( liquid or gas) is heated the temperture of the molecules are increased, the molecules bump in to each other and plead out which then the volume increases because of the heat.

Let me know if that helps! :)

can u pls help me i ​

Answers

Answer:

I believe it's the Supreme Court issued a decision making segregation on buses illegal

A 50W fluorescent lamp turns one quarter the electrical energy it uses into light energy. How much light energy does it give out in 12s?

Answers

Answer: A watt unit is equal to 1 joule/sec.

Explanation:  So you have a lightbulb with 50% efficiency, so it turns half the energy it consumes into light energy.

5 answers

An airplane flies 6.0 km [N] and then 11 km [W]. To return to its starting point, what displacement is needed?

Answers

The displacement needed by the airplane to return to its starting point is 12.53 km.

Displacement

From the question, we are to determine the displacement

Using the diagram attached, D is displacement

Using the Pythagorean theorem,

D² = 11² + 6²

D² = 121 + 36

D² = 157

D = √157

D = 12.53 km

Hence, the displacement needed by the airplane to return to its starting point is 12.53 km.

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Find attached an illustrative diagram

If water is at 500 C, what would
its state of matter be? How do you know?

Answers

Answer:

gas

Explanation:

because water become gas when above 100 celcius

Answer:

Gaseous (vapor) state

Explanation:

Because the boiling point of water is 100 C, then anything above that temperature would mean it remains in the vapor state.

Where is friction as this ball rolls?

There is friction between the hands and the air.
There is friction between the hands and the table.
There is friction between the soccer ball and the table.
There is friction between the top and bottom of the soccer ball.

Answers

Answer:

there is friction between the soccer ball and the table.

Explanation:

there is a friction between the table and the ball the friction opposing motion.there is reaction and action force a frictional force which acts against motion.

Answer:

B. bc I used it worked for me >:>

you're in your room blasting music with door shut, your mom opens your door. Now music is heard through out your home. this is example of__

A. Diffraction
B. Reflection
3. Refraction

Answers

Answer:

A

Explanation:

Diffraction, as the waves spread out (specifically spread to the whole house) by passing the door.

which type of light wave has the highest energy? which has the least amount of energy

Answers

Answer:

Red has the lowest energy and violet the highest. Beyond red and violet are many other kinds of light our human eyes can't see, much like there are sounds our ears can't hear. On one end of the electromagnetic spectrum are radio waves, which have wavelengths billions of times longer than those of visible light.

Explanation:

In the absence of air resistance and starting from rest ... Select one or more: a. an object would fall quadruple the distance if you double the time b. an object would fall half the distance if you double the time c. a 2 kg object falls twice as fast as a 1 kg object d. an object would fall twice the distance if you double the time e. a 2 kg object falls as fast as a 1 kg object

Answers

Answer:

only E is true

Explanation:

A) to find out if it would fall 4x as fast by 2x the time we can look at the formula for free fall:

for free fall the Y = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex] where Y is the distance fallen, g is gravity and t is time

so since the rate at which an object falls is the same (gravity stays the same) it will not fall faster with any alteration

B) An object would fall half the distance if you double the time

here we may need to check with an example:

lets say we fall for 2 seconds in the first and 4 in the second:

Y= 1/2 (9.8) (2)^2 gives 19.6m fallen

Y= 1/2 (9.8) (4)^2 gives 78.4m fallen

from this we can see that doubling the time does not half the distance

C) all objects fall at the same rate no matter their mass so this statement is false

D) from the example above we see again that doubling time does not double the distance

E) this statement is true

Option e is correct. So that a 2 kg object falls as fast as a 1 kg object. Height attained depends upon the time factor.

What is height?

The vertical distance between the object's top and bottom is defined as height. It is measured in centimeters, inches, meters, and other units.

The height attained during free fall ;

[tex]\rm H = ut + \frac{1}{2}gt^2 \\\\ u = 0 \\\\ H=\frac{1}{2}gt^2[/tex]

The height attained during free fall is independent of the mass. Due to that, a 2 kg object falls as fast as a 1 kg object.

Hence,option e is correct.

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What cause-and-effect relationship is described in this
article?
A. Developers no longer leave in accidental Easter eggs
because of improved quality control.
B. Developers have to sneak in Easter eggs because
companies frown upon the practice.
C. Gamers were enthusiastic about Easter eggs, so game
developers started adding more.
D. Gamers get frustrateda hunting for Easter eggs, so.

companies publish the codes or cheats.
Lmk

Answers

The term cause and effect relationship relates to a situation where an effect is directly traceable to a cause.

What is cause and effect relationship?

The term cause and effect relationship relates to a situation where an effect is directly traceable to a cause. The question is incomplete and the article was not mentioned.

A typical example of cause and effect relationship is that increased fossil  fuel use is leading to a rise in the average temperature of the planet.

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How to determine the position of the center of mass.

Answers

Answer:

The center of mass can be calculated by taking the masses you are trying to find the center of mass between and multiplying them by their positions

A particle with a charge of +7.4 C is separated from another charged particle with a charge of
-3.6 uC by a distance of 1.4 m. Find the direction and the magnitude of electrostatic force
between the particles.

Answers

Explanation:

9 × 10^-3 × 13.59 = 0.122 N

The given question is incorrect I think the question you asking is:

A particle with a charge of +7.4μC is separated from another charged particle with a charge of -3.6μC by a distance of 1.4 m. Find the direction and the magnitude of the electrostatic force between the particles.

The electrostatic force between the particles is 0.122N. The direction of the force is from the negatively charged particle to the positively charged particle.

What is electrostatic force?

The electrostatic force is the force of attraction or repulsion between two charged particles due to their electric charges. It is a fundamental force in nature and is described by Coulomb's law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Here in the Question,

Given Data:

Charge of particle 1 (q1) = +7.4 μC = 7.4 × 10^-6 C

Charge of particle 2 (q2) = -3.6 μC = -3.6 × 10^-6 C

Distance between the two particles (r) = 1.4 m

Coulomb's constant (k) = 8.99 × 10^9 N·m^2/C^2

Using Coulomb's law:

Electrostatic force (F) = (k * |q1| * |q2|) / r^2

where |q1| and |q2| are the magnitudes of the charges.

Substituting the values, we get:

F = (8.99 × 10^9 N·m^2/C^2) * (7.4 × 10^-6 C) * (3.6 × 10^-6 C) / (1.4 m)^2

F = 0.12219≈0.122

Therefore, The electrostatic force between the particles is 0.122N. Since one of the charges is negative, the force will be attractive, pulling the particles toward each other.

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a graduated cylinder contains 60 ml of water. A rock is added and the water level rises to 90 ml. if the rock has a mass of 0.6kg, calculate the density of the rock.

Answers

Answer:

20g/ml

Explanation:

the mass must be in gram and 90-60 =30

so 600g/30ml =20g/ml

How many galaxies do astronomers estimate are in the universe.

Answers

Answer:

1 million.

Explanation:

Answer: 100 Billion

Explanation: Scientists believe around  100 Billion Galaxies that exist across the observable universe

If one end of an ethernet connection is configured for full duplex and the other end of the connection is configured for half duplex, where would late collisions be observed?.

Answers

The late collisions would be observed on the half-duplex end of this type of connection. It occurs when a connection there are two duplex formats.

What is a duplex connection?

A duplex mode is a type of Ethernet network capable of sending and receiving data simultaneously.

A duplex connection device is an approach in which point-to-point connection data are transmitted in both directions.

In a duplex connection, data are transmitted at the same time simultaneously (duplex) and/or in one direction at each time (half-duplex).

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help me its just true or false​

Answers

False
False
True
False
False

Answer:

11-false

12-false

13-false

14-false

15-false

Explanation:

11- Magnets only attract metal

12- They will repel not pull together

13- The magnet on the horseshoe is only magnetic to the hoof

14-Two opposites on a magnet will attract  eachother

15-NOOO

A centrifuge rotates so that 0. 25 m from the center is traveling at 343 m/s (the speed of sound). How many RPM is this? What is its angular velocity?

Answers

Answer:

[13,101 RPM]

[1372 rad/s]

Explanation:

only gorgeous gorgeous humans can answer this.​

Answers

Answer:

Fall

Explanation:

Archimedes' Principle

please answer!

this is for my homework its due soon.

Answers

1) wavelength is 2

6m is 3 wavelengths so 6 = 3.. to find for one wavelength divide both sides by 3

6 = 3

2(m) = 1(wavelength)

2) amplitude is half of what they've given

2/2 = 1m

3) f = 1/t

time period = 1.5s for 3 wavelengths

time period for one wavelength is 1.5/3 = 0/5

so f = 1/0.5 = 2 Hz

What is the force on a 0.0020 C charge in an electric field of 150 V/m?

A) 0.30 N

B) 7.5 x 10 N

C) 150.002 N

D) 1.3 X 10-5 N

Answers

Answer: The answer is B. 150.002

Explanation: Add 0.0020 by 150

Force on a 0.0020 C charge in an electric field of 150 V/m will be 0.3 N

What is an Electric field ?

An electric field is defined as the electric force per unit charge . The electric field is radially outward from a positive charge and radially in toward a negative charge .

General formula to find Electric field is :

Electric field  = Force / charge

given

charge = 0.0020 C

Electric field = 150 V/m

Force = ?

Force  = Electric field * charge

          =  150 V/m * 0.0020 C

          = 0.3 N

Force on a 0.0020 C charge in an electric field of 150 V/m will be 0.3 N

correct answer is A) 0.30 N

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What is the objects acceleration

Answers

It’s the movement’s of the object
Hehe


Someone help me with this

Answers

Answer:

I can't read the questions they aren't in the photo

Can the Earth block the Sun;s light from the Moon, or cast a shadow?



(This is a Science question)

Answers

Answer:

Sometimes Earth moves between the sun and the moon. When this happens, Earth blocks the sunlight that normally is reflected by the moon. (This sunlight is what causes the moon to shine.) Instead of light hitting the moon's surface, Earth's shadow falls on it.

Explanation:

I Just Know

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