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
attashe74 [19]
3 years ago
7

A solid sphere of radius 40.0 cm has a total positive charge of 16.2 μC uniformly distributed throughout its volume. Calculate t

he magnitude of the electric field at the following distances.(a) 0 cm from the center of the sphere(b) 10.0 cm from the center of the sphere(c) 40.0 cm from the center of the sphere(d) 59.5 cm from the center of the sphere
Physics
1 answer:
Jobisdone [24]3 years ago
4 0

Answer:

(a) E=0  :   0 cm from the center of the sphere

(b) E= 227.8*10³ N/C   :    10.0 cm from the center of the sphere

(c)E= 911.25*10³ N/C    :    40.0 cm from the center of the sphere

(d)E= 411.84 * 10³ N/C  :    59.5 cm from the center of the sphere

Explanation:

If we have a uniform charge sphere we can use the following formulas to calculate the Electric field due to the charge of the sphere

E=\frac{K*Q}{r^{2} } : Formula (1) To calculate the electric field in the region outside the sphere r ≥ a

E=k*\frac{Q}{a^{3} } *r :Formula (2) To calculate the electric field in the inner region of the sphere. r ≤ a

Where:

K: coulomb constant

a: sphere radius

Q:  Total sphere charge

r : Distance from the center of the sphere to the region where the electric field is calculated

Equivalences

1μC=10⁻⁶C

1cm= 10⁻²m

Data

k= 9*10⁹ N*m²/C²

Q=16.2 μC=16.2 *10⁻⁶C

a= 40 cm = 40*10⁻²m = 0.4m

Problem development

(a)Magnitude of the electric field at  0 cm :

We replace r=0 in the formula (2) , then, E=0

(b) Magnitude of the electric field at 10.0 cm from the center of the sphere

r<a , We apply the Formula (2):

E=9*10^{9} *\frac{16.2*10^{-6} }{0.4^{3} } *0.1

E= 227.8*10³ N/C

(c) Magnitude of the electric field at 40.0 cm from the center of the sphere

r=a, We apply the Formula (1) :

E=\frac{9*10^{9}*16.2*10^{-6} }{0.4^{2} }

E= 911.25*10³ N/C

(d) Magnitude of the electric field at 59.5 cm from the center of the sphere  

r>a , We apply the Formula (1) :

E=\frac{9*10^{9}*16.2*10^{-6} }{0.595^{2} }

E= 411.84 * 10³ N/C

You might be interested in
Infant car seats are made to face the rear of the car. This is safer in a front end collision because of Newton's First law. New
kicyunya [14]
The answer is D hope it helps:)
5 0
3 years ago
Read 2 more answers
Countries with traditional economies are often less developed because:
3241004551 [841]
People are resistant to change, People have political freedom, Farmers institute new farming techniques and there is little need for medical facilities.
7 0
3 years ago
Read 2 more answers
What is the difference between beta plus and minus
Minchanka [31]
Beta decay is very complex phenomena in natural radioactive decay. There are 3 types of Beta decay.

B+ decay (Beta plus or Beta positive or positron decay):

is the conversion of a proton into a neutron plus a positron and an electron neutrino.

B- decay (Beta negative or Beta nought):

is the conversion  of a neutron into a proton plus an electron and a electron antineutrino. 

Note: a positron is the a positive electron or the antiparticle of the electron.

Hope it helps
7 0
3 years ago
Which two statements about kinetic energy are true
gtnhenbr [62]

Answer:

A, C

Explanation:

It can be found in objects like a swing. It creates kinetic energy when it is coming back or going away, while moving.

8 0
2 years ago
When you look at a white light bulb through red sunglasses, why does the light look red to your eyes? What happened to all the o
Lelu [443]

Answer:

The answer is explained below in explanation

Explanation:

Whenever light falls on a colored surface, that color of light is reflected by the surface and all the other colors are absorbed. That is a black body appears black in all lights, because it absorbs every color and a white surface appears to be of the color of the light shone upon it because it is the mixture of all colors of light and reflects every color. The eyes only see the reflected light colors. The absorbed colors are not apparent to the eyes.

<u>Hence, when the white bulb is seen through red sunglasses, it does look like red to our eyes, while all the other colors are absorbed by the sun glasses.</u>

3 0
3 years ago
Other questions:
  • How long does it usually take a hypothesis to become a theory
    7·2 answers
  • In an electric motor, a commutator
    15·2 answers
  • 27. A 0.150 kg baseball is thrown upward with an initial
    7·1 answer
  • When a certain air-filled parallel-plate capacitor is connected across a battery, it acquires a charge of 200 µC on each plate.
    10·1 answer
  • A non living factor in an ecosystem
    13·1 answer
  • Is kane brown a true country singer?<br> A.yes<br> B.no
    7·2 answers
  • Blank can be considered to be mixtures of minerals
    11·1 answer
  • The Andromeda Galaxy (our nearest spiral neighbor) has spectral lines that show a blue shift. From this we may conclude that:
    8·1 answer
  • A car and a truck, starting from rest, have the same acceleration, but the truck moves twice the length of time. Compared with t
    15·1 answer
  • Type the correct answer in the box. use numerals instead of words. anne has a sample of a substance. its volume is 20 cm3, and i
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!