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:

Solution Preview

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

The solutions are shown with full calculations and narrative sufficient to understand the problems and solutions.

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

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.
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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

Please help with the following problem. Provide step by step calculations.
An object with a charge of -3.6 micro C and a mass of 0.012 kg experiences an upward electric force, due to a uniform electric field, equal in magnitude to its weight. (a) Find the direction and magnitude of theelectric field. (b) If theelectric ch

An alpha particle (the nucleus of a helium atom) has a mass of 6.64x10-27kg and a charge of +2e. What are the (a)magnitude and (b)direction of theelectric field that will balance the gravitational force on the particle?
I need to know the step by step setup and answer for this problem given the above information. thank you

Electric Field
Four identical point charges (q = + 10.0 micro coulomb) are located on the corners of a rectangle. The dimensions of the rectangle are L = 60.0 cm and W = 15.0 cm. Calculate themagnitude and direction of the resultant electric force exerted on thecharge at the lower left corner by the other three charges.

Please help with the following problems.
1. In the figure, two charges q1=+3.0uC and q2=-2.0uC are separated by 6.0cm.
a. Find theelectric forces exerted on each other (magnitude and direction)
b. Find theelectric field from point P, which id 4.0cm to the right q2 (megnitude and direction).
c. Find the positions along t

Please see the attachment for description.
1.) What is the total charge inside a shpere of radius 1 and center in the origin.
2.) What is the electric field magnitude for points r>R
3.) What is theelectric field magnitude for points rthemagnitude of theelectric field is the largest.
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