menu
bartleby
search
close search
Hit Return to see all results

Eo k, the resulting electric potential is V (x,y,z) = Vo for theWhen an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field Epoints inside the sphere andEoа3z(x2y223/2V (x,y,z) Vo - Eozfor points outside the sphere, where Vo is the (constant) electric potential on the conductor.Use this equation to determine the x, y, and z components of the resulting electric field in the following regions. (Use the following as necessary: x, y, z, a, and Eo.)(a) inside the sphereEx =Ey =Ez(b) outside the sphereExEy=Ez =

Question
Eo k, the resulting electric potential is V (x,y,z) = Vo for the
When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field E
points inside the sphere and
Eoа3z
(x2y223/2
V (x,y,z) Vo - Eoz
for points outside the sphere, where Vo is the (constant) electric potential on the conductor.
Use this equation to determine the x, y, and z components of the resulting electric field in the following regions. (Use the following as necessary: x, y, z, a, and Eo.)
(a) inside the sphere
Ex =
Ey =
Ez
(b) outside the sphere
Ex
Ey
=
Ez =
help_outline

Image Transcriptionclose

Eo k, the resulting electric potential is V (x,y,z) = Vo for the When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field E points inside the sphere and Eoа3z (x2y223/2 V (x,y,z) Vo - Eoz for points outside the sphere, where Vo is the (constant) electric potential on the conductor. Use this equation to determine the x, y, and z components of the resulting electric field in the following regions. (Use the following as necessary: x, y, z, a, and Eo.) (a) inside the sphere Ex = Ey = Ez (b) outside the sphere Ex Ey = Ez =

fullscreen
check_circleAnswer
Step 1

The relation between the electric field E and the potential V in differential form is determined by,

E (x. y.z) -VV (x, y.)
help_outline

Image Transcriptionclose

E (x. y.z) -VV (x, y.)

fullscreen
Step 2

a)

Inside the sphere,

Given that the electric potential inside the uncharged conducting sphere lying in a uniform  Electric field is a constant,

Substitute Vo for V(x,y,z) in the above relation

This leads to,

 

Е.
nside VV
д
i
Ох
j-
+k
а
ду
дz
ду.
.дV.
о+k
+j
ду
ди.
дх
дz
0
0
0
help_outline

Image Transcriptionclose

Е. nside VV д i Ох j- +k а ду дz ду. .дV. о+k +j ду ди. дх дz 0 0 0

fullscreen
Step 3

The above calculation implies that inside the sphere, the individual components of the Electric fields wi...

ду.
= 0
Е,
х
дх
дт
= 0
о
Е.
У
ду
ду,
=0
о
Е,
дz
help_outline

Image Transcriptionclose

ду. = 0 Е, х дх дт = 0 о Е. У ду ду, =0 о Е, дz

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Science

Physics

Electric Charges and Fields

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Two cars are driving at the same constant speed on a straight road, with car 1 in front of car 2. Ca...

A: Given:Distance traveled by the car 1 before stopping = 11 m

question_answer

Q: A 410 g , 7.0-cm-diameter can is filled with uniform, dense food. It rolls across the floor at 1.5 m...

A: The formula for the angular velocity in term of linear velocity is:

question_answer

Q: Hello, I was given the hw question that wanted to know if a basketball player is getting ready to ju...

A: In the given situation the player tries to jump of the ground, for which he must push himself upward...

question_answer

Q: An elevator loaded with tourists has a mass of 1750 kg. a.) The elevator accelerates upward (in the ...

A: The free body diagram of the elevator of mass M is given below .

question_answer

Q: The temperature of a star is 4990 K. Calculate the power per unit area radiated by the star in 519 n...

A: The temperature of the star,

question_answer

Q: A 3.00 kg rock has a horizontal velocity of magnitude 12.0 m/s when it is at point P in the figure (...

A: Write the expression for magnitude of angular momentum.

question_answer

Q: a) 0 s to 20 s

A: Given:

question_answer

Q: C10T.8 A person squeezes a balloon horizontally with both hands while holding it at rest, decreasing...

A: Work done is given by,

question_answer

Q: Hint: The distance that a dropped object falls in t seconds is represented by the formula s = 16t2. ...

A: Given:Speed of sound, v= 1100 ft/secDistance travelled by the object in time t, s = 16t2Let, time ta...

Sorry about that. What wasn’t helpful?