Electric intensity at orthocenter of a triangle.

In summary, to find the electric intensity and direction at the orthocentre of a triangle with charges of +5C, -7C, and -3C at its vertices, you first need to calculate the distance from the vertices to the orthocentre, which can be found using trigonometry or Pythagoras theorem. Then, calculate the field intensity due to each charge and determine the direction of the field along the line connecting the charge and the orthocentre. Finally, add the fields vectorially to get the resultant field.
  • #1
Julian102
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Homework Statement



At the vertices of a triangle there are + 5C, -7C, -3C of charge respectively. What is the electric intensity and direction at its orthocentre?

Homework Equations



Each side of the triangle is 1 mm in length.

The Attempt at a Solution


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I failed to find the distance of the vertices from the orthocenter of the triangle.
 
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  • #2
You should first find the distance of the orthocenter from the vertices. Since this is an equilateral triangle, orthocenter is the centroid. You can use trigonometry or pythagoras theorem to find the distance. After that, calculate field intensity due to each charge. The direction of the field will be along the line joing the charge and the orthocenter, either away from or towards the charge. Then you can add the fields "vectorially" to get the resultant field.
 
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  • #3
cnh1995 said:
You should first find the distance of the orthocenter from the vertices. Since this is an equilateral triangle, orthocenter is the centroid. You can use trigonometry or pythagoras theorem to find the distance. After that, calculate field intensity due to each charge. The direction of the field will be along the line joing the charge and the orthocenter, either away from or towards the charge. Then you can add the fields "vectorially" to get the resultant field.
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FAQ: Electric intensity at orthocenter of a triangle.

What is the electric intensity at the orthocenter of a triangle?

The electric intensity at the orthocenter of a triangle is the measure of the strength and direction of the electric field at that point. It is determined by the charges and distances of the vertices of the triangle.

How is the electric intensity at the orthocenter of a triangle calculated?

The electric intensity at the orthocenter of a triangle is calculated by taking the sum of the electric intensities at each vertex of the triangle, multiplied by the cosine of the angle between the line connecting the vertex to the orthocenter and the direction of the electric field.

Does the shape of the triangle affect the electric intensity at the orthocenter?

Yes, the shape of the triangle does affect the electric intensity at the orthocenter. The electric intensity is determined by the distances and angles between the vertices, so a change in the shape of the triangle will result in a change in the electric intensity at the orthocenter.

How does the electric intensity at the orthocenter of a triangle differ from other points on the triangle?

The electric intensity at the orthocenter of a triangle is the vector sum of the electric intensities at each vertex, while at other points on the triangle, the electric intensity is only determined by the electric field from nearby charges.

Can the electric intensity at the orthocenter of a triangle be negative?

Yes, the electric intensity at the orthocenter of a triangle can be negative. This indicates that the direction of the electric field at that point is opposite to the direction of the electric field at the other vertices of the triangle.

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