- #1

Fazza3_uae

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First i want to thank all the Members who are sharing us their knowledge and science .

Second i will try my best to help others and share information to all .

Third please excuse me because of my english language i am weak at it.

I have 9 questions for my homework which is due to this Thursday. Its actually 21 questions but i solved the others except these questions so i hope i get hints or clues for my questions.

I will be very happy if at least one question is been answered because i will feel that I've been accepted to be a member of this forums.

Forgive me because i have asked too much questions in my first post.

Here are the Questions ,

Question #1

Consider the uniformly charged sphere with

radius R = 4.65461 m,

Q = 6.66731 μC is the

total charge

inside the

sphere.

a) Find the total flux passing through the

Gaussian surface (a spherical shell) with ra-

dius 2.08762 m.

b) Find the electric field at radius r =

2.08762 m.

c) Find the value of the electrostatic potential

at the same radius r = 2.08762 m.

Relevant Formula :

V=kq/r

I have answered part a & b correctly except part c So guys help me out in this part & thanks in Advance.

Question #2

A charge of 9.054 nC is uniformly distributed

along the x-axis from −5 m to 5 m.

What is the electric potential (relative to

zero at infinity) of the point at 6 m on the

x-axis?

Question # 3

Given : ke = 8.98755 × 10^9 Nm2/C2 .

A uniformly charged insulating rod of

length 21.9 cm is bent into the shape of a

semicircle.

If the rod has a total charge of −8.21 μC.

a) Find the horizontal component of the electric

field at O, the center of the semicircle.

Hint: Define right as positive.

b) Determine the value of the electric potential

V at the center of the semicircle.

Question # 4

Consider a solid conducting sphere with a

radius a and charge Q1 on it. There is a

conducting spherical shell concentric to the

sphere. The shell has an inner radius b (with

b > a) and outer radius c and a net charge

Q2 on the shell. Denote the charge on the

inner surface of the shell by Q′2 and that on

the outer surface of the shell by Q′′2 .

http://www.up-00.com/s1files/a5c29970.jpg

Assume: The potential at r = 1 is zero.

Find the potential VP at point P, which is

the midpoint between a and b.

Question # 5

The electric potential in a certain region is

V = a x2 + b x + c,

where a = 19 V/m2, b = −19 V/m, and

c = 55 V.

Determine the position where the electric

field is zero.

Question # 6

A uniform electric field is in the negative x

direction. Points a and b are on the x-axis, a

at x = 3 m and b at x = 11 m.

If the magnitude of Vb − Va is 2.06 × 10^5 V,

what is the electric field?

Question # 7

A particle of mass 3 × 10−4 kg and charge

3 μC moves downward from point A to point

B a distance of 5 m in the earth’s gravita-

tional field. The kinetic energy of the particle

decreases by 3.9 mJ during this movement.

The acceleration of gravity is 9.8 m/s2 .

What is the potential difference VB − VA?

Question # 8

Calculate the surface charge density for a solid

spherical conductor of radius 0.371 m if the

potential is 0.703 m from the center of the

sphere is 2.90 kV.

Question # 9

Points A (2 m, 6 m) and B (9 m, 14 m) are in

a region where the electric field is uniform and

given by ~E = Exˆı + Ey ˆj, where Ex = 8 N/C

and Ey = 3 N/C.

What is the potential difference VA − VB?

Please Friends Any help In any question above will help me very much & i will be gratefull to you.

Second i will try my best to help others and share information to all .

Third please excuse me because of my english language i am weak at it.

I have 9 questions for my homework which is due to this Thursday. Its actually 21 questions but i solved the others except these questions so i hope i get hints or clues for my questions.

I will be very happy if at least one question is been answered because i will feel that I've been accepted to be a member of this forums.

Forgive me because i have asked too much questions in my first post.

Here are the Questions ,

Question #1

Consider the uniformly charged sphere with

radius R = 4.65461 m,

Q = 6.66731 μC is the

total charge

inside the

sphere.

a) Find the total flux passing through the

Gaussian surface (a spherical shell) with ra-

dius 2.08762 m.

b) Find the electric field at radius r =

2.08762 m.

c) Find the value of the electrostatic potential

at the same radius r = 2.08762 m.

Relevant Formula :

V=kq/r

I have answered part a & b correctly except part c So guys help me out in this part & thanks in Advance.

Question #2

A charge of 9.054 nC is uniformly distributed

along the x-axis from −5 m to 5 m.

What is the electric potential (relative to

zero at infinity) of the point at 6 m on the

x-axis?

Question # 3

Given : ke = 8.98755 × 10^9 Nm2/C2 .

A uniformly charged insulating rod of

length 21.9 cm is bent into the shape of a

semicircle.

If the rod has a total charge of −8.21 μC.

a) Find the horizontal component of the electric

field at O, the center of the semicircle.

Hint: Define right as positive.

b) Determine the value of the electric potential

V at the center of the semicircle.

Question # 4

Consider a solid conducting sphere with a

radius a and charge Q1 on it. There is a

conducting spherical shell concentric to the

sphere. The shell has an inner radius b (with

b > a) and outer radius c and a net charge

Q2 on the shell. Denote the charge on the

inner surface of the shell by Q′2 and that on

the outer surface of the shell by Q′′2 .

http://www.up-00.com/s1files/a5c29970.jpg

Assume: The potential at r = 1 is zero.

Find the potential VP at point P, which is

the midpoint between a and b.

Question # 5

The electric potential in a certain region is

V = a x2 + b x + c,

where a = 19 V/m2, b = −19 V/m, and

c = 55 V.

Determine the position where the electric

field is zero.

Question # 6

A uniform electric field is in the negative x

direction. Points a and b are on the x-axis, a

at x = 3 m and b at x = 11 m.

If the magnitude of Vb − Va is 2.06 × 10^5 V,

what is the electric field?

Question # 7

A particle of mass 3 × 10−4 kg and charge

3 μC moves downward from point A to point

B a distance of 5 m in the earth’s gravita-

tional field. The kinetic energy of the particle

decreases by 3.9 mJ during this movement.

The acceleration of gravity is 9.8 m/s2 .

What is the potential difference VB − VA?

Question # 8

Calculate the surface charge density for a solid

spherical conductor of radius 0.371 m if the

potential is 0.703 m from the center of the

sphere is 2.90 kV.

Question # 9

Points A (2 m, 6 m) and B (9 m, 14 m) are in

a region where the electric field is uniform and

given by ~E = Exˆı + Ey ˆj, where Ex = 8 N/C

and Ey = 3 N/C.

What is the potential difference VA − VB?

Please Friends Any help In any question above will help me very much & i will be gratefull to you.

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