1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dimulka [17.4K]
3 years ago
7

A spherical capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has a radi

us of ra = 12.3 cm , and the outer sphere has a radius of rb = 15.1 cm . A potential difference of 120 V is applied to the capacitor.
(a) What is the capacitance of the capacitor?
(b) What is the magnitude E1 of the electric field E? at radius r= 12.8cm, just outside the inner sphere?
(c) What is the magnitude of E? at r= 14.7cm, just inside the outer sphere?
Physics
1 answer:
Svetlanka [38]3 years ago
8 0

Answer: a) 73.41 10^-12 F; b)4.83* 10^3 N/C; c) 3.66 *10^3 N/C

Explanation: To solve this problem we have to consider the following: The Capacity= Charge/Potential Difference

As we know the capacity is  value that depend on the geometry of the capacitor, in our case two concentric spheres.

So Potential Difference between the spheres is given by:

ΔV=-\int\limits^a_b {E} \, dx

Where E = k*Q/ r^2

so we have \int\limits^a_b {K+Q1/r} \, dr

then

Vb-Va=k*Q(1/b-1/a)=kQ (ab/b-a)

Finally using C=Q/ΔV=ab/(k(b-a))

To caclulate the electric firld we first obtain the charge

Q=ΔV*C=120 V*73.41 10^-12 F=8.8 10^-9 C

so E=KQ/r^2 for both values of r

r=12.8 cm ( in meters)

r2=14.7 cm

E(r1)=4.83* 10^3 N/C

E(r2)=3.66 *10^3 N/C

You might be interested in
How much charge does a 9.0 v battery transfer from the negative to the positive terminal while doing 39 j of work?
sdas [7]
The work done by the battery is equal to the charge transferred during the process times the potential difference between the two terminals of the battery:
W=q \Delta V
where q is the charge and \Delta V is the potential difference.

In our problem, the work done is W=39 J while the potential difference of the battery is \Delta V = 9.0 V, so we can find the charge transferred by the battery:
q= \frac{W}{\Delta V}= \frac{39 J}{9.0 V}=4.33 C
3 0
3 years ago
Do houses use parallels or series circuits
Vilka [71]

Every electrical outlet in your house, and every device or appliance that's
plugged into an outlet, are all in parallel.  It's also most likely that all of yours
are in parallel with all the outlets, devices, and appliances in the homes or
apartments of a few of your neighbors.

The only things in your home that are connected in series are the switches
that turn things on and off.


3 0
3 years ago
Read 2 more answers
A box of unknown mass is sliding with an initial speed vi = 4.70 m/s across a horizontal frictionless warehouse floor when it en
malfutka [58]

Here Change in Kinetic Energy = Work Done by Friction

Therefore, substituting the given values to the equation, we get

0.5 * m * (vFinal^2 - vInitial^2) = µ m g * d

Therefore

0.5*( 5.90^2 - Vfinal^2 ) = 0.100*9.8*2.10

Therefore

vfinal = 5.54 m/sec

<span> </span>

8 0
3 years ago
100 POINTS!!! MAKE YOU BRAINLIEST! ASAP PLEAZE HURRY
kolezko [41]

1. I think it was the Big Bang Theory. It states that the universe was originally a small, immensely dense packet of energy that exploded causing the elements and space to form.

2. It's because of the Big Bang, even though it's a theory scientists still assume that's the reason why everything is moving away from each other. They even said something about planets and other things being formed because of it.

3. Gravitational force is a fundamental force which acts between any two bodies having mass. It is an attractive force. It is proportional to the mass of the two bodies and inversely proportional to square of distance between them.

It is due to gravitational force that holds planets with stars, moons with their planets and stars in galaxies. Had there been no gravitational force, the stars would not have formed and for the fact, any other body in this universe. Gravitational force causes the moons to revolve about planets, planets to revolve about star and star to revolve about the center of galaxy.

4. That part of the solar system is the sun. Of all the mass in the total solar system, more than 99% of it is in the sun.

5. Every object in the universe exerts a gravitational force on every other object, but the size of that force depends on the mass of the objects and the distance between them. The earth has more mass than the moon, so its gravitational pull affects the moon. The sun is more massive than any of the planets in the solar system and so its gravitational pull affects them and keeps them in orbit.

6. Earth is slightly closer to the sun in January than in July. However, summer is warmer because the tilt of the earth exposes the hemisphere to more direct light during the summer months.

7. If earth was not tilted on an axis, we wouldn't have any seasons. We wouldn't have seasons because the axis tilts us towards or away from the sun, and if you're tilted towards the sun, it would be summer. If you're tilted away from the sun, it would be winter. If there was no axis, the temperature would be the same everyday so therefore, we would not have seasons.

8. It shows the heliocentric idea of the solar system. In this view, the sun is at the center of the solar system with planets orbiting around it. In the geocentric view, the earth is at the center of the solar system.

9. On the summer solstice, the sun will shine directly on the Tropic of Cancer (23.5 degrees north ) , so the summer solstice should be picture B. While on the winter solstice, the sun will shine directly on the Tropic of Capricorn (23.5 degrees south), so the winter solstice is picture D. Because earth revolves in counter clockwise direction around the sun, the spring equinox will be picture A and the fall equinox will be picture C.

As for the dates, the spring equinox is on March 20 or 21, the summer solstice is on June 22 or 23, the fall equinox is on September 23 or 24, and the winter solstice is on December 22 or 23.

10. Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.

11. Mercury, Mars, Venus, Earth, Neptune, Uranus, Saturn, and Jupiter

12. Mercury, Mars, Uranus, Venus, Earth, Neptune, Saturn, and Jupiter

Earth  

Earth, the third planet from the sun and the largest terrestrial

planet, is the only planet known to host living beings and the only one known to have liquid water on its surface. T

Jupiter  

The largest and most distinctive of the storms, the Great Red Spot, is larger than Earth. Jupiter has 63 moons and a faint ring system.

Mars

Some of the surface features of Mars, such as dry river beds, hint to the possibility that water previously existed on the planet and may still flow under the surface.

Mercury  

The planet Mercury is hot and cold at the same time. The part where it is facing the sun is so hot that it can reach up to 800 degrees Fahrenheit while the other side (not facing the sun) can be as cold as -279 F.

Neptune  

Like all the outer planets, Neptune, like Uranus, has a diameter roughly four times that of Earth.

Saturn

Saturn has an extensive and complex ring system

Uranus  

The ice giant Uranus spins on an axis parallel to its orbit.

Venus

The density of its atmosphere makes the air pressure at the surface 90 times that of Earth's. The heat and pressure make the planet decidedly inhospitable to life.  

4 0
3 years ago
Gravity and Electromagnetic force
Sladkaya [172]
Differences between gravitational and electromagnetic radiation

So far we have been emphasizing how, at a fundamental level, the generation and propagation of gravitational and electromagnetic radiation are basically quite similar. This is a major point in demystifying gravitational waves. But, on a more practical level, gravitational and electromagnetic waves are quite different: we see and use electromagnetic waves every day, while we have yet to make a confirmed direct detection of gravitational waves (which is why they seemed so mysterious in the first place).

There are two principal differences between gravity and electromagnetism, each with its own set of consequences for the nature and information content of its radiation, as described below.

<span><span><span>Gravity is a weak force, but has only one sign of charge.
Electromagnetism is much stronger, but comes in two opposing signs of charge.</span>
This is the most significant difference between gravity and electromagnetism, and is the main reason why we perceive these two phenomena so differently. It has several immediate consequences:<span>Significant gravitational fields are generated by accumulating bulk concentrations of matter. Electromagnetic fields are generated by slight imbalances caused by small (often microscopic) separations of charge.<span>Gravitational waves, similarly, are generated by the bulk motion of large masses, and will have wavelengths much longer than the objects themselves. Electromagnetic waves, meanwhile, are typically generated by small movements of charge pairs within objects, and have wavelengths much smaller than the objects themselves.</span><span>Gravitational waves are weakly interacting, making them extraordinarily difficult to detect; at the same time, they can travel unhindered through intervening matter of any density or composition. Electromagnetic waves are strongly interacting with normal matter, making them easy to detect; but they are readily absorbed or scattered by intervening matter. 

</span><span>Gravitational waves give holistic, sound-like information about the overall motions and vibrations of objects. Electromagnetic waves give images representing the aggregate properties of microscopic charges at the surfaces of objects.</span></span>
</span><span><span>Gravitational charge is equivalent to inertia.
Electromagnetic charge is unrelated to inertia. </span>
This is the more fundamental difference between electromagnetism and gravity, and influences many of the details of gravitational radiation, but in itself is not responsible for the dramatic differences in how we perceive these two types of radiation. Most of the consequences of the principle of equivalence in gravity have already be discussed, such as:<span><span>The fundamental field of gravity is a gravitational force gradient (or tidal) field, and requires an apparatus spread out over some distance in order to detect it. The fundamental field in electromagnetism is an electric force field, which can be felt by individual charges within an apparatus.</span><span>The dominant mode of gravitational radiation is quadrupolar: it has a quadratic dependence on the positions of the generating charges, and causes a relative "shearing" of the positions of receiving charges. The dominant mode of electromagnetic radiation is dipolar: it has a linear dependence on the positions of the generating charges, and creates a relative translation of the positions of receiving charges.</span></span></span></span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • A boy throws a rock with an initial velocity of 2.15 m/s at 30.0° above the horizontal. If air resistance is negligible, how lon
    10·1 answer
  • describe a process in which energy changes forms at least twice. are there any unwanted forms of energy that are produced during
    15·1 answer
  • Help with these three
    8·1 answer
  • When are the displacement and acceleration equal to zero for the motion of a mass on a spring?
    14·1 answer
  • What is the thickness of the Lithosphere
    8·2 answers
  • When a 20-V emf is placed across two resistors in series, a current of 2.0 A is present in each of the resistors. When the same
    12·2 answers
  • A 1.5 in diameter solid shaft is made of a steel alloy having an allowable shear stress of �allow = 12 ksi. a) Determine the max
    14·1 answer
  • Could something small like a baseball have as much momentum as car
    8·2 answers
  • A body weighs 63 N on the surface of the earth. What is the gravitational force on it due to the earth at a height of 3200 km fr
    9·1 answer
  • 3.Three resistors of 25.0Ω, 30.0Ω, and 40.0Ω are in a series circuit with a 6.0-volt battery. What is the current in the circuit
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!