Find the Speed of a Charge Placed on a Square's Center

In summary, the conversation discusses finding the speed of a fifth charge placed at the center of a square with four different charges on the corners. The total energy of the system is equal to the sum of the work needed to bring each charge to the square. The total work can be calculated using the formula U=mv^2/2. The charges are different and the central charge will not move if the system is symmetric. To find the velocity of the central charge, the U of Q needs to be determined.
  • #1
renanpo
4
0
Hi, I have a question about a problem. Four different charges are placed on the corners of a square, and then a fifth one is placed on the center. I need to find the speed this fifth charge would have at a great distance.

The total energy of the system should be the sum of the work to bring each charge to the square right? So, the total work equals U, and the velocity of the charge can be found from U=Ek, U=mv^2/2. It seems right to me, but I just can't get the right answer. I appreciate the help, thanks.
 
Physics news on Phys.org
  • #2
anyone??

can anyone please help me??
thanks..
 
  • #3
Are all the charges the same? It depends on the system. If the system is symmetric in any kind of way then the central charge won't move.
 
  • #4
No.. the charges are different. Q on corner A, 2Q on corner B, -3Q on corner C and 6Q on corner D. The charge that is put in the center of the square is Q..
 
  • #5
If the four charges are fixed, you jujst need to find the U of the central charge Q.
 

FAQ: Find the Speed of a Charge Placed on a Square's Center

What is the formula for finding the speed of a charge placed on a square's center?

The formula for finding the speed of a charge placed on a square's center is s = d/t, where s is the speed, d is the distance traveled, and t is the time taken.

How do I measure the distance traveled by the charge?

The distance traveled by the charge can be measured using a ruler or measuring tape. It is important to measure the distance from the center of the square to the location where the charge started and stopped.

What units should I use for the distance and time in the formula?

The distance should be measured in meters (m) and the time should be measured in seconds (s).

What is the significance of placing the charge at the center of the square?

Placing the charge at the center of the square allows for a more accurate measurement of the speed, as it ensures that the distance traveled is equal in all directions.

How can I use this information in real-world applications?

Knowing the speed of a charge placed on a square's center can be useful in various fields such as physics, engineering, and technology. It can be used to calculate the speed of electrons in circuits, the velocity of particles in accelerators, and the movement of electric charges in magnetic fields.

Similar threads

The equipotential surface of a system of two unequal charges
Replies
3
Views
1K
Electrostatic Potential Energy of a Sphere/Shell of Charge
Replies
2
Views
2K
Einstein Velocity Addition for a Moving Charge in a Wire
Replies
1
Views
1K
Exploring Electric Field Boundaries at a Charge Density Boundary
Replies
2
Views
2K
Expressing surface charge density as volume charge density
Replies
5
Views
2K
Equilibrium circular ring of uniform charge with point charge
Replies
7
Views
2K
Energy required to remove point charges
Replies
8
Views
3K
Potential inside a cylindrical shell with a line charge
Replies
6
Views
3K
On charge image method over a conducting sphere and its Char
Replies
6
Views
2K
Calculating Ion Pairs, Total Charge and Exposure.
Replies
17
Views
4K

Hot Threads

Recent Insights

Back
Top