Electric Field at Point P in an Equilateral Triangle

In summary, the electric field at point P in an equilateral triangle with three positive and equal charges at the corners is not zero and is directed along the line from P to Q2. This is because the electric field from Q1 and Q3 cancel, but the field from Q2 remains and is directed towards P. This results in a non-zero and directed electric field at point P.
  • #1
Kathi201
40
0
Three positive and equal charges Q1, Q2, and Q3 are at the corners of an equilateral triangle. Point P is at the midpoint of the line between Q1 and Q3 (the middle of the bottom of the equilateral triangle). The electric field at P is
A.zero
b. not zero and directed along the line from P to Q3
c.not zero and is directed along the line from P to Q2
d. not zero and is directed along the line from Q1 to Q2
E.none of these are correct

My thinking is that the answer is zero. I know that the electric field points away from positive charges so if Q1 and Q3 are at the bottom of the equilateral triangle the P is in the middle they are going to direct the opposite way and cancel each other out.

Anybody know if this is correct or have a reason why another answer would be correct?
 
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  • #2
Hi Kathi201,

Kathi201 said:
Three positive and equal charges Q1, Q2, and Q3 are at the corners of an equilateral triangle. Point P is at the midpoint of the line between Q1 and Q3 (the middle of the bottom of the equilateral triangle). The electric field at P is
A.zero
b. not zero and directed along the line from P to Q3
c.not zero and is directed along the line from P to Q2
d. not zero and is directed along the line from Q1 to Q2
E.none of these are correct

My thinking is that the answer is zero. I know that the electric field points away from positive charges so if Q1 and Q3 are at the bottom of the equilateral triangle the P is in the middle they are going to direct the opposite way and cancel each other out.

You're right that the electric field from Q1 and Q3 are going to cancel. But what about the field at P from Q2?
 
  • #3
Oh Ok thank you I forgot about Charge Q2. So the electric field at P is going to be directed along the line from P to Q2.

Thanks for your help
 

1. What is the formula for calculating the electric field at point P in an equilateral triangle?

The formula for calculating the electric field at point P in an equilateral triangle is E = kQ/(d^2), where k is the Coulomb's constant, Q is the magnitude of the charge at the vertex of the triangle, and d is the distance from the vertex to point P.

2. Does the electric field at point P depend on the size of the equilateral triangle?

Yes, the electric field at point P does depend on the size of the equilateral triangle. The distance from the vertex to point P (d) is a factor in the calculation of the electric field, so a larger triangle will result in a larger value for d and therefore a larger electric field at point P.

3. How does the electric field at point P change if the charge at the vertex of the triangle is doubled?

If the charge at the vertex of the triangle is doubled, the electric field at point P will also double. This is because the formula for calculating electric field (E = kQ/d^2) has Q as a direct proportionality, meaning that as Q increases, so does the electric field.

4. Can the electric field at point P ever be zero in an equilateral triangle?

Yes, the electric field at point P can be zero in an equilateral triangle. This occurs when the charge at the vertex is zero, or when point P is located at the center of the triangle. In both cases, the distance from the vertex to point P (d) is zero, resulting in an electric field of zero.

5. How does the orientation of the equilateral triangle affect the electric field at point P?

The orientation of the equilateral triangle does not affect the electric field at point P. As long as the distance from the vertex to point P (d) remains the same, the electric field will also remain the same regardless of the orientation of the triangle.

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