Problem on electrostatic force

In summary, electrostatic force is a fundamental force that describes the attraction or repulsion between charged particles. It can be measured using an electrostatic force meter and is typically measured in units of Newtons (N). Some real-life examples include the attraction or repulsion between magnets and static cling. The strength of electrostatic force depends on the magnitude and sign of the charges involved, as well as the distance between them. This force is closely related to electric potential energy, as it is directly proportional to the amount of potential energy possessed by the charged particles.
  • #1
arpon
235
16

Homework Statement


A metal sphere of radius R and total charge Q is cut into two equal halves. Find the force that is
necessary to hold the two parts together.

Homework Equations


##F = \frac{1}{4\pi \epsilon _0} \cdot \frac {q_1 q_2}{r^2}##
##\oint \vec E \cdot d \vec A = \frac{q}{\epsilon _0}##

The Attempt at a Solution


Is there any other way which is easy to calculate rather than columb's law (using calculus)?
 
Physics news on Phys.org
  • #2
Have you tried computing the electromagnetic stress tensor from the field strength and integrating it over a "well chosen" surface?
 

What is electrostatic force?

Electrostatic force is a fundamental force of nature that describes the attraction or repulsion between electrically charged particles. It is caused by the interaction of electric fields, which are created by charged particles.

How is electrostatic force measured?

Electrostatic force can be measured using a tool called an electrostatic force meter, which uses the principles of Coulomb's law to calculate the force between two charged particles. The force is typically measured in units of Newtons (N).

What are some real-life examples of electrostatic force?

Some common examples of electrostatic force include the attraction or repulsion between two magnets, the static cling of clothes after being dried in a dryer, and the shock you may experience when touching a metal object after walking on a carpet.

What factors affect the strength of electrostatic force?

The strength of electrostatic force depends on the magnitude and sign (positive or negative) of the charges involved, as well as the distance between the charges. The force decreases as the distance between the charges increases.

How is electrostatic force related to electric potential energy?

Electrostatic force and electric potential energy are closely related. The force between two charged particles is directly proportional to the amount of potential energy they possess. As the distance between the particles changes, so does their potential energy and the force between them.

Similar threads

  • Introductory Physics Homework Help
Replies
10
Views
172
  • Introductory Physics Homework Help
Replies
1
Views
148
  • Introductory Physics Homework Help
Replies
10
Views
4K
  • Introductory Physics Homework Help
Replies
26
Views
3K
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
124
  • Introductory Physics Homework Help
Replies
19
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
182
  • Introductory Physics Homework Help
Replies
12
Views
199
  • Introductory Physics Homework Help
Replies
17
Views
393
Back
Top