Calculating Electric Field Strength of a Charged Metal Sphere

In summary, a metal sphere with a diameter of 10 cm and a charge distribution of 1.09085 x 10^18 electrons/cm^2 on its surface has an electric field strength of 5.5 x 10^12 N/C at a distance of 25 cm from the surface. The equations used to solve this problem are E = F/q = (kqQ/r^2)/q and E = k x Q/r^2. However, it is important to note that the distance in the formula should be the distance from the center, not the surface. To find the total charge Q on the surface, one may need to use equations from geometry.
  • #1
Matticus9
2
0

Homework Statement


A metal sphere with a diameter of 10 cm has a charge distribution of 1.09085 x 1018 electrons/cm2 on its surface. What is the electric field strength at a distance of 25 cm from the surface of the sphere? (Answer: 5.5 x 1012 N/C)

Homework Equations


I wasn't given any equations. Only ones I know are
E= F/q= (kqQ/r2)/q
E= k x Q/r2

The Attempt at a Solution


E= (k x Q)/r2= 9.0 x 109 x Q/ 25 cm2= ?
 
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  • #2
Hi Matticus9, Welcome to Physics Forums.

Your expression for E is not well thought out. The problem statement says that the distance of 25 cm is from the surface of the sphere, not its center. The distance in the formula should be the distance from the center.

What can you do to find the total charge Q on the surface of the sphere? You might need to dig into your geometry knowledge to add some equations to your relevant equation list.
 
  • #3
I still don't understand.
 

1. What is electric field strength?

Electric field strength is a measure of the force exerted on a charged particle in an electric field. It is represented by the symbol E and is measured in units of volts per meter (V/m).

2. How is electric field strength calculated?

Electric field strength is calculated by dividing the force on a charged particle by the charge of the particle. The formula is E = F/q, where E is the electric field strength, F is the force, and q is the charge of the particle.

3. What factors affect electric field strength?

The electric field strength is affected by the distance between the charges, the magnitude of the charges, and the medium in which the charges are located. It is also affected by the presence of other charges in the surrounding area.

4. How is electric field strength measured?

Electric field strength can be measured using a device called an electric field meter. This device uses a probe to detect the electric field and displays the results in units of volts per meter.

5. What are the applications of electric field strength?

Electric field strength is used in a variety of applications, including in the design of electronic devices, in medical imaging techniques such as MRI, and in the study of the behavior of charged particles in particle accelerators. It is also important in understanding the behavior of lightning and other atmospheric phenomena.

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