Question

An expression for the electric field that was produced by a spherically symmetric distribution is 4.04×103r2...

An expression for the electric field that was produced by a spherically symmetric distribution is 4.04×103r2 [^(r)] N/C.

A 37.0 cm diameter spherical surface shares its center with the spherical electric field. What is the flux through this spherical surface?
What is the charge inside the spherical surface?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Part A

From gauss's law, electric flux through gaussian surface is given by:

E = electric field by spherical distribution = 4.04*10^3*r^2

So,

So electric flux through spherical surface will be from r = 0, to r = R

R = radius of sphere = 37.0/2 = 18.5 cm = 0.185 m

4.04*10^3*0.185^3/3

8.53 Wb = electric flux

Part B.

Now electric flux inside spherical surface is given by:

Qenc = Charge inside closed surface = ?

= 8.85*10^-12

So,

Qenc =

Qenc = 8.53*8.85*10^-12

Qenc = 7.55*10^-11 C = Charge inside cylindrical surface

Please Upvote.

Comment below if you've any query.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A spherically symmetric charge distribution produces the electric field E⃗ =(150/r)r^N/C, where r is in m....
A spherically symmetric charge distribution produces the electric field E⃗ =(150/r)r^N/C, where r is in m. What is the electric field strength at r = 11.0 cm? What is the electric flux through a 17.0-cm-diameter spherical surface that is concentric with the charge distribution? How much charge is inside this 17.0-cm-diameter spherical surface?
A charge distribution that is spherically symmetric but not uniform radially produces an electric field of...
A charge distribution that is spherically symmetric but not uniform radially produces an electric field of magnitude E = 5r4, directed radially outward from the center of the sphere. Here r is the radial distance from that center. What is the volume charge density ρ of the charge distribution at a distance of r = 2m? Express your answer in units of nano coulombs/m3 i.e. 10-9 C/m3 Specify your answer up to two decimal places
The surface of a circular disk is charged uniformly. The magnitude of the electric field produced...
The surface of a circular disk is charged uniformly. The magnitude of the electric field produced by the disk on the surface is measured 3.00×105 N/C at its center. a.) Find the surface charge density of the disk. b.) At the point on the central axis perpendicular to the disk, 10.0 cm away from the center of the disk, the magnitude of the electric field is measured 1.00×105 N/C. Estimate the total charge of the disk. c.) Find the magnitude...
A spherically symmertic charge distribution, comprised of filled sphere at the center surround by a shell....
A spherically symmertic charge distribution, comprised of filled sphere at the center surround by a shell. The center sphere has radius, a, and charge distribution: rho = (rho1/a^2)r^2. The outer shell has inner radius, b, and outer radius, c and a uniform charge density, rho2. What is the electric field, E, everywhere?
Problem 2. An unknown spherically symmetric distribution of charges and conducting or insulating materials extends from...
Problem 2. An unknown spherically symmetric distribution of charges and conducting or insulating materials extends from r = 0 to r = 2R. The electrostatic potential varies with radial distance r away from the center of the distribution as follows: For r > 2R, V (r) = −q/(4πǫ0r); for R < r < 2R, V (r) = −q/(8πǫ0R); and for r < R, V (r) = −3q/(4πǫ0r) + 5q/(8πǫ0R). (a) Graph V (r) from r = 0 to r =...
A) A 1 nano Coulomb spherical charge has a radius of 10 centimeters. The charge is...
A) A 1 nano Coulomb spherical charge has a radius of 10 centimeters. The charge is uniformly distributed throughout the volume of the sphere.   Find the electric flux through a spherical gaussian surface centered on the charge with a radius of 1 meter. Answer in units of (N*m^2)/C. B) Same as part A, but let the Gaussian surface be a 1 meter cube centered on the charge. C) What is the strength of the E field on the surface of...
The dome of a Van de Graaff generator receives a charge of 9.2 ✕ 10−4 C....
The dome of a Van de Graaff generator receives a charge of 9.2 ✕ 10−4 C. Find the strength of the electric field in the following situations. (Hint: Review properties of conductors in electrostatic equilibrium. Also, use the points on the surface are outside a spherically symmetric charge distribution; the total charge may be considered to be located at the center of the sphere.) (a) inside the dome N/C (b) at the surface of the dome, assuming it has a...
In the case of a uniform electric field and a flat surface, the electric flux is...
In the case of a uniform electric field and a flat surface, the electric flux is defined as the dot product of the electric field and the area, where the direction of the area is the normal to the area pointing out of a closed region. Consider a cube that measures 4.0 m on edge. The edges lie along the coordinate axes x, y, and z, with one corner at the origin, and the other corners having positive coordinates. A...
A charged particle causes an electric flux of -996 N-m2/C to pass through a spherical Gaussian...
A charged particle causes an electric flux of -996 N-m2/C to pass through a spherical Gaussian surface of 9.50 cm radius centered on the charge. (a) If the radius of the Gaussian surface were doubled, how much flux would pass through the surface? (b) What is the charge of the particle?
The electric field at 5 cm from the center of a long copper rod of radius...
The electric field at 5 cm from the center of a long copper rod of radius 2 cm has a magnitude of 5 N/C and is directed outward from the axis of the rod. (a) How much charge per unit length (in C/m) exists on the copper rod? C/m (b) What would be the electric flux (in N · m2/C) through a cube of side 5 cm situated such that the rod passes through opposite sides of the cube perpendicularly?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT