Homework, electric field strength at centre of a square

In summary, the problem involves 4 charges (+5µC, +3µC, -4µC, and +2µC) forming a square with side length of 2m. The task is to calculate the field strength and potential at the center of the square using the equations F=1/4πε0 X Q1Q2/r2 and E= Q/4πε0r2. Drawing a figure can also be helpful in solving the problem.
  • #1
JR9
1
0

Homework Statement


4 charges of +5µC, +3µC, -4µC and +2µC form the 4 points of a square of side length 2m. Calculate the field strength and potential at the centre of the square.

Homework Equations


F=1/4π[PLAIN]http://upload.wikimedia.org/math/d/3/c/d3c305fc416b971cd6d284564e51bf85.png[SUB]0[/SUB] X Q1Q2/r2
E= Q/4π[PLAIN]http://upload.wikimedia.org/math/d/3/c/d3c305fc416b971cd6d284564e51bf85.png[SUB]0[/SUB] r2

The Attempt at a Solution


?
 
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  • #2
JR9 said:

Homework Statement


4 charges of +5µC, +3µC, -4µC and +2µC form the 4 points of a square of side length 2m. Calculate the field strength and potential at the centre of the square.

Homework Equations


F=1/4π[PLAIN]http://upload.wikimedia.org/math/d/3/c/d3c305fc416b971cd6d284564e51bf85.png[SUB]0[/SUB] X Q1Q2/r2
E= Q/4π[PLAIN]http://upload.wikimedia.org/math/d/3/c/d3c305fc416b971cd6d284564e51bf85.png[SUB]0[/SUB] r2

The Attempt at a Solution


?

Welcome to the PF. Keep going! Use those equations and draw a figure... :-)
 
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FAQ: Homework, electric field strength at centre of a square

What is the formula for calculating electric field strength at the center of a square?

The formula for calculating electric field strength at the center of a square is E = Q/(4πεr²), where E is the electric field strength, Q is the charge, ε is the permittivity of the medium, and r is the distance from the center of the square.

How do I determine the direction of the electric field at the center of a square?

To determine the direction of the electric field at the center of a square, you need to consider the direction of the individual electric fields from each charge present in the square. If the charges are positive, the direction of the electric field will be away from them. If the charges are negative, the direction of the electric field will be towards them. The overall direction of the electric field at the center of the square will be the vector sum of these individual electric fields.

What is the unit of measurement for electric field strength?

The unit of measurement for electric field strength is volts per meter (V/m).

Can the electric field strength at the center of a square be zero?

Yes, it is possible for the electric field strength at the center of a square to be zero. This can occur when the charges in the square are arranged in such a way that their individual electric fields cancel each other out.

How does the distance from the center of the square affect the electric field strength?

The electric field strength at the center of a square is inversely proportional to the square of the distance from the center. This means that as the distance increases, the electric field strength decreases, and vice versa.

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