An RC circuit consists of a resistor with resistance 1.0 kΩ, a 120-V battery, and two capacitors, C1 and C2, with capacitances of 20.0 μF and 60.0 μF, respectively. Initially, the capacitors are uncharged; and the switch is closed at t = 0 s. How much charge will be stored in eah capacitor after a long time has elapsed (capacitor one 2.4 x 10^-3 C) (capacitor 2 7.2 x 10^-3 C) and what will the total charge on both capacitors two time constants after the switch is closed? (8.3 x 10^-3)

Answers

Answer 1

Answer:

[tex]Q_t= 8.3 * 10^3 C[/tex]

Explanation:

From the question we are told that:

Resistor [tex]R=1000ohms[/tex]

Voltage [tex]v=120_V[/tex]

Capacitance of c_1 [tex]c_1=20 \mu F[/tex]

Capacitance of c_2 [tex]c_2=60 \mu F[/tex]

Time [tex]t=0[/tex]

Generally the equation for charges is mathematically given by

[tex]For C_1\\Charge\ on\ C_1 = CV = 20*120 = 2400 μC = 2.4 x 10^-3 C\\Charge\ on\ C_1 = 2400 μC = 2.4 x 10^-3 C\\Charge\ on\ C_1 = 2.4 x 10^-3 C\\[/tex]

[tex]ForC_2\\Charge on C_2 = 60*120 =7200 μC = 7.2 x 10^-3\\Charge on C_2 = 7.2 x 10^-3[/tex]

Generally the equation for voltage across capacitors is mathematically given by

[tex]V_c(t)=V(1-e^{-t/RC})[/tex]

[tex]C=C_1+C_2=80 \mu f\\t=2RC=>160000s[/tex]

[tex]V_c(t)=120(1-e^{-(160000)/1000*(80)})[/tex]

[tex]V_c(t)=103.7598[/tex]

Generally the equation for charges is mathematically given by

[tex]Q1(t) = C1Vc(t)\\Q1(t) = 20*103.7598\\Q1(t) = 2075.196\\\\Q2(t) = 60*103.7598\\Q2(t) = 6225.6\\[/tex]

Generally the equation for total charges [tex]Q_t[/tex] is mathematically given by

[tex]Q_t=Q1(t)+Q2(t)[/tex]

[tex]Q_t= 8.3 * 10^3 C[/tex]


Related Questions

A plane moves at 15 km/h for a total distance of 300km. How long did it fly for? *
20 hours
0.05 hours
450,000 hours
2 hours

Answers

20 hours you do 300 divided by 15 and get 20 hours

Does anbody know?????

Answers

Answer:

it is B

Explanation:

it is a compound lol

1 poi
True or False: An object can be in motion and not in motion at the same
time depending on which frame of reference you are comparing the
motion to.
O True
False

Answers

Answer:

true

Explanation:

for example assume you are setting in a moving bus and when someone see you from the ground you are in motion but for some who is with you in the bus you are not in motion.

Please help!!A camera lens 13.3 cm from a
flower makes an image at a
distance of 2.25 cm from the lens,
on the film. What is the focal
length of the lens?
(Unit = cm)

Answers

Answer:

f=1.92 cm

If ans is correct reply for explanation.

The typical focal length formula looks as follows: 1/Focal length = 1/Image distance + 1/Object distance , where: Image distance and Object distance are given in mm.

1/f = 1/u + 1/v

1/f = 1/133 + 1/22.5

    = 0.007 + 0.044

    = 0.0514 mm

What is focal length ?

"The focal length of an optical system is a measure of how strongly the system converges or diverges light; it is the inverse of the system's optical power. A positive focal length indicates that a system converges light, while a negative focal length indicates that the system diverges light."

Know more about focal length here

https://brainly.com/question/16188698

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Milk is a very weak acid. What might its pH value be ?

Answers

Answer:

pH value is between 6.5 and 6.8

Explanation:

Explanation:

Milk fresh from the cow typically has a pH between 6.5 and 6.7. The pH of milk changes over

takes 5 seconds and 2,000 J for a crane to lift a very heavy object. Which of these correctly describes power and energy for this action?

2,000 J of energy was converted into some other energy, requiring 10,000 W of power.
2,000 J of energy was converted into some other energy each second, requiring 400 W of power
2,000 J of power was converted into 400 W of energy.
2,000 J of power was converted into some other power every second, requiring 10,000 W of energy.

Answers

A crane takes 5 s and 2,000 J to lift an object. That is, 2,000 J of energy was converted into some other energy each second, requiring 400 W of power.

What is power?

In physics, power is the amount of energy transferred or converted per unit time.

A crane uses 2,000 J of energy (E) to perform work (W) is 5 s (t). Let's calculate the power used (P).

P = W / t = 2,000 J / 5 s = 400 W

Which of these correctly describes power and energy for this action?

2,000 J of energy was converted into some other energy, requiring 10,000 W of power. No, the required power was 400 W.2,000 J of energy was converted into some other energy each second, requiring 400 W of power. Yes.2,000 J of power was converted into 400 W of energy. No, energy cannot be converted into power.2,000 J of power was converted into some other power every second, requiring 10,000 W of energy. No, the required power was 400 W.

A crane takes 5 s and 2,000 J to lift an object. That is, 2,000 J of energy was converted into some other energy each second, requiring 400 W of power.

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Light travels at the same speed at all times. True False

Answers

Answer:

true hope this help :}

Explanation:

The answer is true for this

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

Answers

I think the best answer is Decimeter

Objects traveling in! acceleration.* motion experience centripetal​

Answers

Answer:

They travel

Explanation:

Because they move in a certin way

A Stegosaurus hits' a wall with a force of
60 N and has a mass of 32kg. What
was the acceleration of the dino?
1920

Answers

Answer: a= -1.9 m/s²

Explanation: F = ma and a = F / m = 60 N / 32 kg = 1.875 m/s²

Because of law of action and reaction, wall applies same force to dino

In opposite direction and Dino is decelerating. Thus sign Is negative.

A 60 cm tall Siberian Huskey stands 3 m in front of a PLANE MIRROR and looks at its image. a) How tall is the image in the mirror? b) What is the characteristic of the image?

Answers

Explanation:

Given that,

Height of Siberian Huskey = 60 cm

Distance of Siberian Huskey and a plane mirror = 3 m

The characteristic of a plane mirror are as follows :

A plane mirror always forms a virtual image. The image and object are the same distance from the mirrorThe image size is the same as the object size.The image is upright.

(a) The height of the formed image = 3 m

(b) The formed image is virtual, upright and same size that of object.

The tendency to pull other objects toward it is called

Answers

Answer:

""gravity. the force that pulls on objects and causes acceleration if the objects are not balanced by an opposing force. speed. distance traveled per unit time. Newton's Second Law of Motion.""

Explanation:

This graph shows the energy of a reaction over time. Which statement is
true?


A. H represents the energy of the products.

B. G represents the activation energy.

C. G represents the energy of the products.

D. F represents the activation energy

Answers

Answer: D.

Explanation: Just took the quiz.

Answer:

D. F represents the activation energy

Explanation:

What is the color of lava at its hottest? Help asap

Answers

yellow !!!!!!!!!!!!!!!!

How are the surface of Mercury and Mars similar to the surface of the Earth?

Answers

Answer:

The terrestrial planets all have rocky surfaces that feature mountains, plains, valleys and other formations. ... Mars has very low atmospheric pressure, and Mercury has almost none, so craters are more common on these planets.

Explanation:

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

A rock at the edge of a cliff has 10 Joules of potential energy. A goat comes along and kicks the rock off the edge. At the moment right before the rock hits the ground about how much kinetic energy does it have? (remember, a Joule is the SI unit for measuring energy).

Answers

Answer:

27 J

Explanation:

Can anybody help??????

Answers

Answer:

b

Explanation:

I think its b, a molecule


State the relationship between the mass of trolley and acceleration of the trolley?

Answers

Answer: The complementary relationship indicated by the Newton's second law...

For a given applied force the acceleration of the trolley is inversely proportional to it's mass.

What is the equivalent of 0° C in Kelvin?
Help will give brainiest

Answers

Answer:

273.15 dat is the answer im pretty sure

A horizontal spring is lying on a frictionless surface. One end of the spring is attached to a wall, and the other end is connected to a movable object. The spring and object are compressed by 0.065 m, released from rest, and subsequently oscillate back and forth with an angular frequency of 11.3 rad/s. What is the speed of the object at the instant when the spring is stretched by 0.048 m relative to its unstrained length

Answers

Answer:

Explanation:

Given that:

angular frequency = 11.3 rad/s

Spring constant (k) = [tex]= \omega^2 \times m[/tex]

k = (11.3)² m

k = 127.7 m

where;

[tex]x_1[/tex] = 0.065 m

[tex]x_2[/tex]  = 0.048 m

According to the conservation of energies;

[tex]E_1=E_2[/tex]

[tex]\Big(\dfrac{1}{2} \Big) kx_1^2 =\Big(\dfrac{1}{2} \Big) mv_2^2 + \Big(\dfrac{1}{2} \Big) kx_2^2[/tex]

[tex]kx_1^2 = mv_2^2 + kx_2^2[/tex]

[tex](127.7 \ m) \times 0.065^2 = v_2^2 + (127.7 \ m) \times 0.048^2[/tex]

[tex]0.5395325 = v_2^2 +0.2942208 \\ \\ 0.5395325 - 0.2942208 = v_2^2 \\ \\ v_2^2 = 0.2453117 \\ \\ v_2 = \sqrt{0.2453117} \\ \\ \mathbf{ v_2 \simeq0.50 \ m/s}[/tex]

A small car has a head-on collision with a large truck. Which of the following statements concerning the magnitude of the average force due to the collision is correct? The small car and the truck experience the same average force. The small car experiences the greater average force. The truck experiences the greater average force. It is impossible to tell since the masses are not given. It is impossible to tell since the velocities are not given. 1 points Saved Question 1 of 5 Moving to another question will save this response.

Answers

Answer:

The small car and the truck experience the same average force.

Explanation:

Here we need to remember two of Newton's laws.

The second one says that:

F = m*a

force equals mass times acceleration.

And the third one says that;

"If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A"

From the third law, if the car experiences a force F due to the impact with the truck, then the truck experiences the same force F due to the impact.

But this seems odd, because we would expect to see the car being more affected by the impact, right?

Well, this is explained by the second law.

Suppose that the mass of the car is m, and the mass of the truck is M.

such that M > m

Then for the small car we have:

F = m*a

And for the truck:

F = M*a'

Because the force is the same for both of them, we can write:

m*a = M*a'

a = (M/m)*a'

because M > m, then M/m > 1.

This means that the acceleration that the car experiences is larger than the acceleration for the truck, and this is why we would see that the car seems more affected by the impact, regardless of the fact that both vehicles experience the same force in the impact.

A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a mass of 150 kg, a radius of 2.0 m, and a rotational inertia of 300 kg·m2 about the axis of rotation. A 60 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.4 rad/s when the student starts at the rim, what is the angular speed when she is 0.70 m from the center?

Answers

Answer: [tex]2.29\ rad/s[/tex]

Explanation:

Given

Mass of Platform M=150 kg

the radius of Platform R=2 m

Moment of inertia of Platform [tex]I=300\ kg.m^2[/tex]

Mass of student [tex]m=60\ kg[/tex]

The initial angular speed of the student is [tex]\omega _1=1.4\ rad/s[/tex]

Initially, the moment of inertia of platform and student is

[tex]I_1=\dfrac{1}{2}MR^2+mR^2\\\\I_1=300+60\times 4=540\ kg.m^2[/tex]

The final moment of inertia

[tex]I_2=\dfrac{1}{2}MR^2+mr^2\\\\I_2=300+60\times 0.7^2=329.4\ kg.m^2[/tex]

Conserving angular momentum

[tex]I_1\omega_1=I_2\omega _2\\\\540\times 1.4=329.4\times \omega_2\\\\\omega_2=\dfrac{756}{329.4}=2.29\ rad/s[/tex]

QUESTION
Energy can only be used in it's original
form.
false
true

Answers

Answer:

False

Explanation:

Energy keeps on converting from one form to another and it is useful in each of its forms.

For instance, the kinetic energy get converts into potential energy, mechanical energy of motor converts into electrical energy, sound energy (phone) converts into electrical energy etc. but in all these forms energy is useful in one or the other way.

Hence, the given statement is false.

The semi-major axis of this ellipse is 8.8 cm, and the distance from one of the foci to the
center is 4.4 cm. What is the eccentricity of the ellipse?

Answers

The eccentricity is 0.5

Which image best illustrates diffraction?

Answers

where’s the image?? i don’t see it

Answer:

The first option- Sun shining through clouds

Explanation:

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.

The constant movement of rising warm air and sinking cool air in Earth's atmosphere is called atmospheric convection. What does atmospheric convection produce?

Answers

Answer:

sunspots

Explanation:

A .001 kg bead slides without friction around a loop-the-loop. The bead is released from a height of 20.6 m from the bottom of the loop-the-loop which has a radius 7 m. The acceleration of gravity is 9.8 m/s [photo] What is its speed at point A ? Answer in units of m/s. Your answer must be within ± 5.0%

Answers

Answer:

11.37 m/s

Explanation:

We are given;

Mass; m = 0.001 kg

Initial velocity; v1 = 0 m/s (since it was released from rest)

Initial height; h1 = 20.6m

From the attached image of the bead in the loop, we can see that height at A; h2 = twice the radius = 2R = 2 × 7 = 14 m

g = 9.8

To solve for the speed at point, we will use formula for conservation of energy. Thus;

½m(v1)² + mgh1 = ½m(v2)² + mgh2

Divide through by m to get;

½(v1)² + gh1 = ½(v2)² + gh2

Plugging in the relevant values;

½(0²) + (9.8 × 20.6) = ½(v2)² + (9.8 × 14)

Rearranging, we have;

½(v2)² = ½(0²) + (9.8 × 20.6) - (9.8 × 14)

Simplifying, we have;

½(v2)² = 64.68

Multiply both sides by 2 to get;

(v2)² = 2 × 64.68

(v2)² = 129.36

v2 = √129.36

v2 = 11.37 m/s

Question 6 of 10
If this vector were twice as long, what would be the coordinates of the tip?
O A. (1,-2)
O B. (-2, 1)
O C. (-4,2)
D. (2,-4)
PREVIOUS

Answers

The answer is c or b u choose
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