Calculating Electric Field at Point A from Uniformly Charged Arc

In summary, the problem is to find the electric field at Point A, which is located along the y-axis, for an arc with uniform density of lambda. The formula used is E = integral dq/r^2, and the distance from the arc to Point A was determined using Wolfram and the cosine rule, but it resulted in an imaginary result. The solution involves taking advantage of symmetry to eliminate the x component of mirror points along the arc to get the Ey-axis E field.
  • #1
martinbandung
7
0

Homework Statement


Find electric field at Point A
its an arc with uniform density= lamda
view

https://drive.google.com/file/d/14cBqE2dMe_w0nb9LtPG0h1cUOrzGWt6g/view?usp=sharing
the problem

Homework Equations


E=intergal dq/r^2

The Attempt at a Solution


I've tried using wolfram and cosine rule to determine the distance from the arc to point A
but it give imaginary result
 
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  • #2
It appears that your Google drive image doesn't have the proper permissions for me to view it, so I cannot comment yet. Can you post the formula which you typed into Wolfram?
 
  • #3
Point A isn't well defined on your pic but it's apparently along the y axis. Neither is it clear whether the arc is a semicircler or other symmetrical arc. You obviouslly need to know the equation of the arc and where A really is located.

In any case, take advantage of symmetry to eliminate the x component of mirror points along the arc to get the Ey-axis E field. It's high school geometry.
 
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What is potential energy?

Potential energy is the energy that an object possesses due to its position or configuration. In the context of electric fields, potential energy is the energy that a charged particle has due to its position in the electric field.

What is an electric field?

An electric field is a region in space where an electrically charged object experiences a force. It is created by electric charges and can exert forces on other charges within its field.

How is potential energy related to electric fields?

Potential energy is directly related to electric fields. In an electric field, a charged particle has potential energy due to its position. The higher the potential energy, the more work is required to move the charged particle against the electric field.

What is the unit of electric potential?

The unit of electric potential is volts (V). It is a measure of the electric potential energy per unit charge.

How can electric potential be measured?

Electric potential can be measured using a voltmeter. The voltmeter measures the potential difference between two points in an electric field and gives a reading in volts.

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