Se tiene una esfera gaussiana que encierra a un cubo de lado "a" que tiene una carga neta q. ¿Cuál es el flujo de campo eléctrico sobre la superficie de la esfera gaussiana?

Answers

Answer 1

Answer:

Φ =    Q/ε₀

Explanation:

Una esfera Gaussiana, es una esfera imaginaria en cuya superficie el campo eléctrico es constante. El campo eléctrico es el producido por la carga que está encerrada por la superficie. De tal modo que si tenemos un cubo con una carga neta igual a Q y la asumimos ubicada en el centro del cubo (que es el centro de la esfera gaussiana de radio x), tendremos:

El flujo eléctrico es:

Φ = ∫ E*dS = Q/ε₀       Esta es la primera ecuación de Maxwell como E es constante por definicion

El area de una esfera es: A(s) = 4*π*x²

E * 4*π*x² = Q/ε₀

E = Q/4*π*ε₀* x²

La distancia que hay del centro del cubo a un vertice (x) es:

x² = a² + a²

x = √2a²

x = a*√2

Sustituyendo x por su valor  

E =    Q/4*π*ε₀*2*a²

Entonces

Φ =    Q/4*π*ε₀*2*a²* ∫ dS

Φ =    [Q/4*π*ε₀*2*a²] *[4*π*2*a²  ]

Φ =    Q/ε₀


Related Questions

what is the average speed of a person who swims 105m in 70s ?​

Answers

Answer:

v = 1.5 [m/s]

Explanation:

This problem can be solved using the definition of velocity which is the relationship between space and time.

v = x/t

where:

v = speed [m/s]

x = distance = 105 [m]

t = time = 70 [s]

v = 105/70

v = 1.5 [m/s]

Answer:time.

v = x/t

where:

v = speed [m/s]

x = distance = 105 [m]

t = time = 70 [s]

v = 105/70

v = 1.5 [m/s]

Explanation:time.

v = x/t

where:

v = speed [m/s]

x = distance = 105 [m]

t = time = 70 [s]

v = 105/70

v = 1.5 [m/s]

What is the acceleration of a car that moves in a straight line and decreases its speed from 80km/hr to 15km/hr in exactly 5.0 seconds

Answers

Answer:

-3.6 m/s

Explanation:

first go from km/hr to m/s

so 80km/hr⇒ 22.2222 m/s

15km/hr ⇒4.16667 m/s

now use the equation for acceleration

[tex]\frac{v-v0}{t}[/tex]

(4.16667-22.2222)/5 = 18.05553/ 5 = -3.611106 m/s

with sig figs

-3.6 m/s

Why is visible light between infrared and ultraviolet

Answers

Answer:

The infrared has longer wavelengths (700 nm to 1 mm) than those of visible lights (390 nm to 700 nm). Note though that visible light is the only radiation that can be seen by the human eye. The ultraviolet is much more intense and has a shorter wavelength (400 nm to 10 nm) compared to visible light.

Explanation:

GREETINGS!

Visible light is in between UV and IR region because visible light has a wavelength ranging from 400nm to 700nm, and below 400nm is the region of UV and above 700 is the region of IR, So visible lights is in between UV and IR

To understand things more clearly you could see the electromagnetic spectrum to see which ray lies lies in what region.

HOPE THIS HELPS YOU

which equation states Newton's second law

Answers

the 2nd law of motion. F=ma, force on a body is directly proportional to it's mass. and more the force, the greater the velocity of the object.

Newton's second law of motion is expressed by the equation F = m × a. where F is the force and m is the mass of the object.

Where:

F represents the net force acting on an object,

m denotes the mass of the object, and

a represents the acceleration produced by the net force.

According to Newton's second law, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.

This equation (F = m × a) is Newton's second law equation.

To know more about Newton's second law:

https://brainly.com/question/15280051

#SPJ4

A child pushes a toy car with a force of 5 N which causes it to accelerate at a rate of 2.0 m/s2. What force would be required to accelerate the toy car at 3.0 m/s2?

Answers

Answer:

7.5 N

Explanation:

For is given by :

F = ma

Where

m is mass of an object and is its acceleration

When force is 5 N, its acceleration is 2 m/s². We need to find the force required to to accelerate the toy car at 3.0 m/s².

[tex]\dfrac{F_1}{F_2}=\dfrac{a_1}{a_2}[/tex]

Solving for F₂.

[tex]F_2=\dfrac{F_1a_2}{a_1}\\\\F_2=\dfrac{5\times 3}{2}\\\\F_2=7.5\ N[/tex]

So, it would require 7.5 N of force to accelerate the toy car at 3.0 m/s².

just answer this plzz

Answers

C, i know this trust me

C, for sure good luck !

Assume a freely falling object were somehow equipped with a speedometer on a planet where the acceleration due to gravity is 20 meters per square second.
By how much would its speed reading in- crease each second?

a. 10 m/s
b. 40 m/s
c. A value dependent on its initial speed 4. 30 m/s
d. 5 m/s
e. 20 m/s

Answers

I think it would be B

3. Elizabeth tested how high five different brands of new tennis balls would bounce when dropped from the same height of 2 meters. She dropped the balls so that they hit the same floor tile each time. In this consumer testing she did not have a control experiment but took factual information from the manufacturers on how well their product bounced (resiliency). She tested 100 balls of each brand. She measured the bounces in centimeters. what is the controlled variable and the Independant variable and the dependent variable

Answers

Answer:

Controlled variable: the height from which the ball is dropped and the floor tile on which the ball hits

Independent variable: different tennis ball brands

Dependent variable: height of bounce in centimeters

Explanation:

Scientific experiments have three major kinds of variables:

Independent variable: This is the variable that is subject to the manipulation of the experimenter. The values of this variable are determined by the experimenter. In this example, Elizabeth determines the brand of tennis ball to be tested, hence the tennis ball brand is the independent variable

Dependent variable: This variable has values which are a result of the effect of the manipulation of the independent variable. The values of the dependent variable are not under the direct control of the experimenter. They are simply the results of the experiment. Here, the height to which the ball bounces is not predetermined, hence it is the outcome or dependent variable.

Control variables; These are variables that can affect the outcome of the results of the experiment but are kept constant throughout the experiment, to rule out biases when testing the effect of the independent variable.

A person travels by car from one city to another with different constant speeds between pairs of cities. She drive 60.0 min at 100.0km/h, 5.0 min at 90.0 km/h, and 40.0 min at 60.0km/h and soends 30.0 min eating lunch and buying gas. (A) determine the average speed for the trip. (B) determine the distance between the intial and final cities alkng the route

Answers

Answer:

The average speed for the trip is 65.56 [tex]\frac{km}{h}[/tex] and the distance between the intial and final cities along the route is 147.5 km

Explanation:

You know:

t1= 60.0 min= 1 h v1= 100.0km/ht2= 5.0 min= 1/12 hv2= 90.0 km/ht3= 40.0 min= 2/3 hv3= 60.0km/h t4=30.0 min= 0.5 h= 1/2 hv4= 0 because she stops to eat lunch and buy gas.

Speed is a quantity that reflects the space traveled by a body in a unit of time. That is, the average velocity relates the change in position with the time taken to effect said change.

[tex]speed=\frac{change in position}{time}[/tex]

To calculate the average speed of the trip you must calculate the total distance traveled and the total time used.

The total time used for the trip is:

t= t1 + t2 + t3 + t4= 60 min + 5 min + 40 min + 30 min= 135 min= 2.25 h

The distance traveled in each stage of the trip is calculated knowing the speed in that stage and the time used by the expression:

distance= speed*time

Then:

distance1= v1*t1 = 100 km/h * 1 h= 100 kmdistance2= v2*t2 = 90 km/h * 1/12 h= 7.5 kmdistance3= v3*t3 = 60 km/h * 2/3 h= 40 kmdistance4= v4*t4 = 0 km/h * 1/2 h= 0 km

So, the total distance traveled is calculated as:

d= 100 km + 7.5 km + 40 km + 0 km= 147.5 km

Then, the average speed for the trip is:

[tex]average speed=\frac{total distance}{total time}[/tex]

[tex]average speed=\frac{147.5 km}{2.25 h}[/tex]

average speed= 65.56 [tex]\frac{km}{h}[/tex]

The average speed for the trip is 65.56 [tex]\frac{km}{h}[/tex] and the distance between the intial and final cities along the route is 147.5 km

Increased globalization has been caused by all of the following except
A improved technology
B. increased transportation speeds
C. improved communication speeds
D. decreased distances between nations
Please select the best answer from the choices provided.

Answers

i think the answer is d because the distance between nations has not changed

Answer: D.  decreased distances between nations

just did test on edge

i really need brainliest  plz

the si unit of heat energy​

Answers

Answer:

joule is its si unit in my opinion

See attachment for answer and explanation.

The FITT principles of training include __________.
A.
fundamental, intensity, time, and type
B.
frequency, intensity, time, and type
C.
frequency, individual, time, and type
D.
frequency, intensity, tough, and time


Please select the best answer from the choices provided.

Answers

Answer:

IT Will be Answer choice B

Explanation:

frequency, intensity, time, and type

FITT (frequency, intensity, time, and type) is one way to remember the general guidelines for what should be included in a fitness plan.

Answer:

B. frequency, intensity, time, and type

Explanation:

^^^^



A 25-kg mass is suspended 4 meters above the ground. Find its potential energy. Show your work, and use the
rules of significant figures when giving your answer

Answers

Potential energy due to gravitation = mass x gravity x height
= 25 x 9.8 x 4
= 980 Joules
Since the height is given to just 1 significant figure, the result should be given to 1 significant figure also.
Answer = 1000 Joules.

A car slams on its brakes creating an acceleration of -3.2 m/s². It comes to rest after traveling a distance of 210 m. What was its velocity before it began to accelerate?

Answers

Answer: 36.66m/s

Explanation:

Listing everything is gives you:

Vf = 0

a = -3.2

Δx = 210

Vi = ?

Pick one of the kinematic equations to find the missing variable

I used this one: [tex]Vf^2=Vi^2 + 2a[/tex]Δx

When you plug everything in, you get

0 = [tex]Vi^2 -1344[/tex]

add 1344 to both sides and square root to get Vi = 36.66

What is the mass of a 7500N car on earth?

Answers

Answer:

Weight of the car F = m*g ; Here, g = 9.81 N/kg ;

So, we can find from the formula mentioned above m = F/g ;

Mass m is equal about 764 kg.

Explanation:

a dog with mass of 14kg has a kinetic energy of 135.5j. what is the speed of the dog

Answers

Answer:

v = 4.39968 m/s

v = 9.8418038654259 mi/h

v = 14.434645669291 ft/s

v = 15.838846732892 km/h

Explanation:

v=KE/1/2m

A motorcyclist started a race from START line and from rest, and accelerated with the acceleration of 2 m/s2 for 7 seconds. Then he increased the acceleration to 4 m/s2 and went with that acceleration for 8 seconds. What was the racer’s position from the START line after 7+8 seconds from the start of the race?

Answers

Answer:

.

Explanation:

Which two phrases describe the nature of an electromagnetic force?
A. Not a fundamental force of nature
B. Produced by interactions between magnetic objects
C. Acts only when objects tough each other
D. Produced by interactions between electrically charged objects

Answers

Answer:

I think its C and D

Explanation:

How much would a 1000 gram soccer ball accelerate if I kicked it with a force of 15 N?

Answers

Answer:

15m/s2

Explanation:

Acceleration = Force / Mass

Acceleration = 15N / 1kg

Acceleration = 15m/s2

Which of the following is not a word to describe a part of a wave?​
Amplitude
Crest
Wavelength
Color

Answers

Answer:

Color, as far as I'm aware.


Which equation correctly represents the gravitational potential energy of a
system?

Answers

Answer:

I don't really understand what you are asking but... i can try to help

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

Hope this helps sorry I couldn't answer it☺️

3. What is the shortest possible time in which a bacterium could travel a distance of 84. cm across a Petri dish
at a constant speed of 3.5 mm/s? *(answer in cm/s)
whats the answer in cm/s

Answers

Answer:

240 s

Explanation:

distance = 84 cm

speed = 3.5 mm/s (0.35cm/s)

but speed = distance/time

hence the shortest time taken = distance/speed

= 84/0.35 = 240s

Which of the following shows levels of organization in living things, from smallest to largest?
A)organ - cell - organ system - tissue
B)organ system - tissue - cell - organ
C)cell - tissue - organ - organ system
D)organ system - organ - tissue - cell.

Answers

C) cell - tissue - organ- organ system
Is correct

Acids and bases are compounds with very different properties. Which of the following is a property of an acid?

Answers

Answer:

reacts to mos metlal

Explanation:

If a student leaves home at 7:30 AM to walk to his school 2 km away, stops at a neighbor's house for 15 min, then arrives at school at 8:00 AM, what is the student's average speed for the trip to school?

Answers

Answer:

The student's average speed for the trip to school is 4 [tex]\frac{km}{h}[/tex]

Explanation:

Speed ​​is a quantity that relates the displacement that an object makes in a given unit of time. In other words, speed is a physical quantity that expresses the relationship between the space traveled by an object, the time used for it and its direction.

Since the average speed relates the change in position to the time taken to effect said change, then:

[tex]speed=\frac{change in position}{time}[/tex]

In this case, the student travels a total distance of 2 km between his home and school and the total time spent on the trip is 30 minutes, then:

change in position= 2 kmtime= 30 minutes= 0.5 hours (being 60 minutes = 60 hours)

Replacing:

[tex]speed=\frac{2 km}{0.5 hours}[/tex]

Solving:

speed= 4[tex]\frac{km}{hours}[/tex]

The student's average speed for the trip to school is 4 [tex]\frac{km}{h}[/tex]

Help number 3 ASAP !!!

Answers

Can you explain the problem to me please

20. A hurricane in the Gulf of Mexico travels 360 km in 15 h. What is the average speed of this hurricane?​

Answers

Answer:

The average speed of this hurricane is 24 kph.

Explanation:

let me know if this helps

The power in an electrical circuit is given by the equation P = I2R, where I is the current flowing through the circuit and R is the resistance of the circuit. What is the power in a circuit that has a current of 0.1 amps and a resistance of 18 ohms?

Answers

Answer:

0.18 watt

Explanation:

The following data were obtained from the question:

Current (I) = 0.1 A

Resistance (R) = 18 ohms

Power (P) =.?

P = I²R

Where

P is the power.

I is the current in the circuit.

R is the resistance.

With the above formula, we can obtain the power in the circuit as follow:

P = 0.1² × 18

P = 0.01 × 18

P = 0.18 watt

Therefore, the power in the circuit is 0.18 watt

A motorcyclist started a race from START line and from rest, and accelerated with the acceleration of 2 m/s2 for 7 seconds. Then he increased the acceleration to 4 m/s2 and went with that acceleration for 8 seconds. What was the racer’s position from the START line after 7+8 seconds from the start of the race?

Answers

Answer:

289 m .

Explanation:

s = ut + 1/2 at² , u is initial velocity , t is time , a is acceleration and s is distance covered .

For t = 7 s

s = 0 + 1/2 x  2 x 7²

= 49 m

velocity after 7 s

= a x t = 2 x 7 = 14 m /s

for next 8 s , initial velocity u = 14 m /s

S = ut + 1/2 at²

= 14 x 8 + 1/2 x 4 x 8²

= 112 + 128

= 240 m

Total displacement in 7 + 8 s

= 49 + 240 = 289 m .

The distance between pitcher and catcher on a baseball field is 18.4 m. If a pitcher releases a ball from a height of 1.5 m and the catcher catches the ball right at ground level, how fast did the pitcher throw the ball?

Answers

Answer:

33.26 m/s

Explanation:

The initial velocity of the ball can be determined by;

R = v[tex]\sqrt{\frac{2H}{g} }[/tex]

Where R is the range (distance between pitcher and catcher), H is the height covered, v is the initial velocity and g is the acceleration due gravity (9.8 m/[tex]s^{2}[/tex]).

So that;

18.4 = v[tex]\sqrt{\frac{2*1.5}{9.8} }[/tex]

      = v [tex]\sqrt{\frac{3}{9.8} }[/tex]

      = v [tex]\sqrt{0.3061}[/tex]

     = 0.5533v

⇒ v = [tex]\frac{18.4}{0.5533}[/tex]

      = 33.2550

The initial velocity of the ball is 33.26 m/s.This is the velocity with which the pitcher threw the ball.

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