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
Why does the book with more mass feel heavier in your hand
jok3333 [9.3K]

Answer:

because the book's is covered by papers

6 0
2 years ago
Find the velocity of a water wave in meters per second with frequency
Yuri [45]

Answer:

Velocity, v = 0.164 m/s

Explanation:

We have,

Frequency of wave, f = 0.04 Hz

Wavelength, \lambda=4.1\ m

It is required to find the velocity of a water wave. The speed of any wave is given in terms of wavelength and frequency. Its formula is :

v=f\lambda\\\\v=0.04\times 4.1\\\\v=0.164\ m/s

So, the velocity of a water wave is 0.164 m/s.

7 0
3 years ago
Which of the following refers to stored energy that an object has due to its position?
mezya [45]

Explanation:

Energy stored in an object due to its position is Potential Energy. Energy that a moving object has due to its motion is Kinetic Energy.

5 0
2 years ago
Which statements are true? Science is a collection of facts that does not evolve. We have gained all the knowledge we can from s
puteri [66]

Answer: Scientists observe natural events occuring around them. If a hypothesis is not veriffied by the results from the scientific method, scientists may redo the process or create a new hypothesis

Explanation:

4 0
3 years ago
Viruses use the energy of the ______ cells to reproduce themselves​
galben [10]
<h2>Hey there!</h2>

<h2>The answer will be:</h2>

<h3>"Host"</h3>

<h2>Explanation:</h2><h2 /><h3>Viruses use the energy of the <u>host</u> cells to reproduce themselves​.</h3>

<h2>Hope it help you</h2>

5 0
3 years ago
Other questions:
  • Suppose a candy bar is 8 cm long, 1 cm high, and 5 cm wide. How many whole candy bars will you be able to fit in a box with a vo
    8·1 answer
  • Which condition would cause salinity of ocean water to decrease
    10·2 answers
  • Which phenomenon can only be explained by assuming that light is quantized
    8·1 answer
  • A biologist wants to increase the rate of his chemical reaction but has a limited amount of enzyme. He continues to increases th
    14·1 answer
  • A boat having a length 3m and breadth 2m is floating on a
    12·1 answer
  • GIVING THE BRAINEST AND 15 POINTS
    8·1 answer
  • Why would researchers not be allowed to recreate the Little Albert experiment today?
    15·1 answer
  • 1. Describe the components of the reflex arc
    8·1 answer
  • What is the electrical power when the current is 20 amps and the voltage is 15 volts? *
    14·1 answer
  • A laser emits light with a frequency of 5.69 x 1014 s-1. the energy of one photon of the radiation from this laser is:_________
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!