What is the Electric Field in a Ball with a Positive Charge at R/2?

In summary, the problem involves a positive charge Q distributed uniformly in a ball with radius R at the beginning of the X axis. Another positive point charge Q is located on the X axis at R=2, and the question asks for the size of the electric field at R/2. The equations for electric field (K*(Q/r^2) and K*(Q/a^3)) were used, but the correct answer is K*(1/18)*(Q/r^2). It is possible that the wording of the problem is unclear and may need clarification.
  • #1
dannee
20
0

Homework Statement



Positive charge Q uniformly distributed in a ball with radius R, which is located at the beginning of X axis. Positive point charge Q is located on the X axis on R=2. what is the size of the electric field in R/2?


Homework Equations





The Attempt at a Solution



i've tried to use the equations of electric field, K*(Q/r^2), once put the distance of charge Q with R=3/2, adding it to the electric field of the ball on the point, which is K*(Q/a^3), as a=0.5R. but the correct answer is K*(1/18)*(Q/r^2). where do i go wrong?
 
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  • #2
Are you sure that the problem says on the axis at R=2, not X=2R? The wording of the problem you put up is really bad, maybe you could post exactly what the problem you were given says.
 

1. What is an electric field in a ball?

An electric field in a ball is a region in space surrounding the ball where electrically charged particles experience a force. This force is created by the presence of the charged ball and is a result of the interactions between the charges.

2. How is an electric field in a ball created?

An electric field in a ball is created by the accumulation of electric charges on the surface or within the ball. This can happen through the process of friction, induction, or direct contact with other charged objects.

3. What is the direction of an electric field in a ball?

The direction of an electric field in a ball is always away from positive charges and towards negative charges. In other words, the electric field lines point outward from a positively charged ball and inward towards a negatively charged ball.

4. How is the strength of an electric field in a ball determined?

The strength of an electric field in a ball depends on the amount of charge on the ball and the distance from the ball. The further away an object is from the ball, the weaker the electric field will be.

5. What are the practical applications of understanding electric fields in balls?

Understanding electric fields in balls is essential in many technological applications, such as in the design of electronic devices and circuits. It is also important in understanding phenomena such as lightning and the behavior of charged particles in the atmosphere.

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