Magnitude of the electric field; distribution of the charge

Please show all work and show all equations used and diagrams.

1) Positive charge Q is distriibuted uniformally throughout an insulating sphere of radius R, centered at the origin. A particle with a positive charge Q is placed at x = 2R on the x axis. The magnitude of the electric field at x =R/2 on the x axis is:

2) Charge is distributed uniformally along a straight wire. the electric field 2 cm from the wire is 20N/C. The electric field 4cm from the wire is:

3) Positve charge Q is placed on a conducting sphereical shell with inner radius R1 and outer radius R2. A particle with charge q is placed at the center of the cavity. The magnitude of the electric field at a point in the cavity, a distance r from the center, is:

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1) Positive charge Q is distriibuted uniformally throughout an insulating sphere of radius R, centered at the origin. A particle with a positive charge Q is placed at x = 2R on the x axis. The magnitude of the electric field at x =R/2 on the x axis is:

Fields are additive The field inside the charged sphere is given by : 1/(4pi Eo) Qr/R^3 where r is the distance out to the surface of the sphere. This follows from Gausses law. Then at x= R/2 this becomes:
1/(4pi Eo) Q/2R^2

The magnitude ...

Solution Summary

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At a distance r1 from a point charge, themagnitude of theelectric field created by thecharge is 248 N/C. At a distance r2 from thecharge, the field has a magnitude of 132 N/C. What is the ratio r2/r1?

Please show all work and diagrams plus equations used to solve problem. Thanks!
1) Experimentor A uses a test charge qsub0 and experimentor B uses a test charge 2qsub0 to measure an electric field produced by stationary charges. A finds a field that is:
ans: The same as the field around B - WHY?
2) An isolated point

Positive charge Q is uniformly distributed on a semicircle of radius alpha (see the attachment).
Find themagnitude of theelectric field at the center of curvature P.
What is the direction of theelectric field at the center of curvature P?

A point charge, q1 = -4.00 nC, is at the point x= 0.60 m, y= 0.80 m. A second point charge, q2 = +6.00 nC, is at the point x= 0.60 m, y= 0 m.
Calculate themagnitude of the net electric field at the origin due to these two point charges.
Calculate the direction of the net electric field at the origin due to these two po

See the attached file.
The dashed lines in the diagram represent cross sections of equipotential surfaces drawn in 1-V increments.
a) What is the work W_AB in J done by theelectric force to move a 1-C charge from A to B?
b) What is the work W_AD in J done by theelectric force to move a 1-rm C charge from A to D?
c)

1) How many coulombs of positive charge are there in kg of carbon? Twelve grams of carbon contain Avogadro's number of atoms, with each atom having six protons and six electrons.
2) Three charges, each of magnitude nC, are at separate corners of a square edge of length 5 cm. The two charges at opposite corners are positive,

Using the attached diagram, please help me with the following.
(a) Find themagnitude/direction of theelectric field at the center of the configuration of charges.
(b) Using the result from (a), find themagnitude and direction of the force on an electron placed at the center of the configuration.

Positive charge Q is distributed uniformly along the x-axis from x = 0 to x = a. A positive point charge q is located on the positive x-axis at x = a + r, a distance r to the right of the end of Q (see the attachment).
(a) Calculate the x-component of theelectric field produced by thechargedistribution Q at points on the

Point charges q1=- 5.00 nC and q2=+ 5.00 nC are separated by distance 3.80 mm, forming an electric dipole.
A) Find themagnitude of theelectric dipole moment in Cm.
B) Thecharges are in a uniform electric field whose direction makes an angle 36.5 degrees with the line connecting thecharges. What is themagnitude of this