Electric charges and fields: Semicircular charge distributions

In summary, the question is asking for the electric field intensity at point O given a linear charge density of 1 microcoulomb per meter. The solution involves finding the fields due to the two straight lines and the semi-circles, using relevant formulas or logic. The person asking for help needs further guidance on how to find the relevant formula and proceed with the problem.
  • #1
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Homework Statement


If linear charge density is equal to 1micro coulomb per meter, then what is the electric field intensity at O?

Homework Equations

The Attempt at a Solution


The electric fields due to the two straight lines should cancel out.. But how to progress further? Please let me know...
 

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  • #2
Ujjwal28 said:
But how to progress further?
Finding the fields due to the semi-circles, is it not?
 
  • #3
Ok so... How is it done? Is there any formula or logic behind that?
 
  • #4
Ujjwal28 said:
Ok so... How is it done? Is there any formula or logic behind that?
That should be your part to find the related formula in the "Relevant equations" section of the template.
 
  • #5
Ok can you please elaborate on how to find it? And how to proceed with the problem?
 

What is a semicircular charge distribution?

A semicircular charge distribution is a distribution of electric charge in the shape of a semicircle. This means that the electric charges are arranged in a half-circle shape, with the center of the semicircle being the midpoint of the diameter.

How is the electric field calculated for a semicircular charge distribution?

The electric field for a semicircular charge distribution can be calculated using the same formula as for a point charge, which is E = kQ/r^2. However, since the charge is distributed along a curve, the distance r must be calculated for each small element of charge and then integrated along the semicircle to find the total electric field.

What is the difference between a semicircular charge distribution and a point charge?

A point charge is a single, concentrated source of electric charge, while a semicircular charge distribution is a distribution of electric charge spread out over a semicircle. This means that the electric field produced by a point charge is radial and decreases with distance, whereas the electric field produced by a semicircular charge distribution varies in direction and magnitude depending on the location.

How does the electric field change as the radius of the semicircle increases?

The electric field produced by a semicircular charge distribution decreases as the radius of the semicircle increases. This is because the electric field is inversely proportional to the square of the distance, so as the distance from the charges increases, the electric field becomes weaker.

What are some real-world applications of semicircular charge distributions?

Semicircular charge distributions are commonly used in particle accelerators, where charged particles are accelerated along a curved path. They are also used in electromagnetic lenses for focusing charged particles, and in sensors for detecting electric fields. In addition, semicircular charge distributions can be used in mathematical models to simulate electric fields in various systems and devices.

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