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
cestrela7 [59]
3 years ago
13

Find the potential inside and outside a uniformly charged solid sphere whose radius is R and whose total charge is q. Use infini

ty as your reference point. Compute the gradient of V in each region, and check that it yields the correct field. Sketch V(r).

Physics
1 answer:
amid [387]3 years ago
8 0

Answer:

Recall that the electric field outside  a uniformly charged solid sphere  is exactly the same as if the charge were all at a point in the centre of the  sphere:

E_{outside} =\frac{1}{4\pi(e_{0})}\frac{Q}{r^{2} } r^{'}

lnside the sphere, the electric field also acts like a point charge, but only for the proportion of the charge further inside than the point r:

E_{inside} =\frac{1}{4\pi(e_{0})}\frac{Q}{R^{2} } \frac{r}{R} r^{'}

To find the potential, we integrate the electric field on a path from infinity (where of course, we take the direct path so that we can write the it as a 1 D integral):

V(r>R)=\int\limits^r_\infty {\frac{1}{4\pi(e_{0)} }\frac{Q}{r^2}  } \, dr=\frac{q}{4\pi(e_{0)} } \frac{1}{r} \\V(r

=\frac{q}{4\pi e_{0} } [\frac{1}{R} -\frac{r^{2}-R^{2}  }{2R^{3} } ]

∴NOTE: Graph is attached

You might be interested in
a 8000kg tow truck pulls a 3000kg car horizontally into a garage. if the motor of the tow truck exerts a forward thrust on the t
Evgen [1.6K]
Equation 1 :
m1 :   m1a =T 
Equation 2:m2 : m2a= F - T 

Adding 1 and 2a=0.073

Placing in  equation 1

we get T = 218.18N
8 0
3 years ago
Why is silicon needed in solar panels?
kodGreya [7K]
Hi, silicon is essential in solar panels because, silicon is a semiconductor material (meaning a solid substance that has a conductivity of an insulator and is an essential component of most electric circuits ) now, when dipped with impurities such as gallium and arsenic it has the ability to capture the suns energy and convert to electricity. hope this is helpful if it is than put a thank you plz.
4 0
3 years ago
How would you characterize William's relationship with his father? In what ways did his father help shape William's outlook?
Aleksandr [31]

William's father shaped William's outlook on life when he was younger due to his bravery.

<h3>What was the relationship between William and his father?</h3>

The impact of significant others in the life of a person can not be over emphasized. These significant others often serve as role models and help to develop the individuality and personality of people.

The life of William was shaped quite well by his father because the both of them had a cordial relationship with each other. William's father shaped William's outlook on life when he was younger due to his bravery.

Learn more about William and his father:brainly.com/question/4066623

#SPJ1

3 0
2 years ago
Which kind of force do you exert on an object when you pull it toward you?
jarptica [38.1K]

By definition we have to:

Applied force: It is the external force that acts directly on a body.

Therefore, we can say that if you have an object and push it towards yourself, you are exerting an external force on the object.

This external force was not acting on the object previously, therefore, it is a force that you are applying at that moment.

Answer:

you exert an Applied Force on an object when you pull it towards you

A. Applied Force

4 0
3 years ago
Read 2 more answers
What is the hottest layer in the Sun's atmosphere?
erica [24]
I believe it is the core
7 0
2 years ago
Other questions:
  • A trough is 10 feet long and its ends have the shape of isosceles triangles that are 3 feet across at the top and 1 foot high. I
    6·1 answer
  • About how much time elapses between high tides on the same day?
    7·1 answer
  • A horizontal wire of length 0.53 m. carrying a current of 7.5 A. is placed in a uniform external magnetic field. When the wire i
    10·1 answer
  • 11.
    7·1 answer
  • Which one of the following types of training involves 10 to 30 minutes of high-intensity exercise?
    11·2 answers
  • The formula for Ohm’s law can be written: V equals <br><br> a. l x R<br> b. l/R<br> c. R/l
    15·1 answer
  • A 3-liter container has a pressure of 4 atmospheres. The container is sent underground, with resulting compression into 2 L. App
    7·1 answer
  • Which is an important step in how an electric motor uses magnetic force to produce motion?
    15·2 answers
  • How much work will it take to lift a 2-kg pair of hiking boots 2 meters off the
    15·2 answers
  • PLEASE HELP! URGENT<br><br> Explain how the forces need to change so an aeroplane can land
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!