What will the electric field be at point at a distance r=5cm

In summary, to calculate the electric field at a point 5cm from the center of two concentric spherical shells, you must determine the charge enclosed by the outer shell within a Gaussian surface, and the charge enclosed by the inner shell using an integral. Then, use Gauss' Law to calculate the electric field.
  • #1
zahraa
2
0

Homework Statement


A small insulating spherical shell with inner radius a=1cm and outer radius b=2cm is concentric with a larger insulating soherical shell with inner radius c=4cm and outer radius d=6cm . the inner shell has a nonuniform charge distribution =.005 r C/m^3 , and the outer shell has a uniform charge distribution and a total charge of 5 nC .

Homework Equations



my question is what will the electric field be at boint at a distance r=5cm from the common center of both spheres

The Attempt at a Solution



q/(4*pi*E0*(b-a)^2) ??
 
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  • #2


Hey zahraa,

Just determine the volume enclosed by the portion of the outer shell that is contained within your Gaussian surface. Use that to get the portion of the charge enclosed by that part of the shell.

Then for the nonuniform part of the enclosed charge form an integral over the volume to get the portion of the charge enclosed by the inner shell's volume.

Add those enclosed charge values and use Gauss' Law for the Gaussian shell with radius 5cm.

[tex]EA = \frac{q_{in}}{\epsilon_{0}}[/tex]
 

1. What is an electric field?

The electric field is a physical quantity that describes the effect of electric charges on other charges within a given region. It is a vector quantity, meaning it has both magnitude and direction.

2. How is the electric field calculated at a point?

The electric field at a point is calculated by dividing the force exerted on a test charge placed at that point by the magnitude of the test charge. It is also dependent on the magnitude and location of other charges in the surrounding area.

3. What is the unit of measurement for electric field?

The unit of measurement for electric field is Newtons per Coulomb (N/C) in SI units. In other systems, it may be measured in Volts per meter (V/m) or dynes per statcoulomb (dyn/statC).

4. How does the distance from a charge affect the electric field?

The electric field decreases as distance from a charge increases. This is known as the inverse-square law, where the electric field is inversely proportional to the square of the distance from the charge.

5. What factors can affect the electric field at a point?

The electric field at a point can be affected by the magnitude and location of other charges in the surrounding area, as well as the type of medium the charges are in. It can also be affected by the presence of external electric fields or the shape of conductors near the point of interest.

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