Electric intensity at orthocenter of a triangle.

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SUMMARY

The electric intensity at the orthocenter of an equilateral triangle with charges of +5C, -7C, and -3C at its vertices can be calculated by first determining the distances from the orthocenter to each vertex. Since the orthocenter coincides with the centroid in an equilateral triangle, trigonometric methods or the Pythagorean theorem can be employed to find these distances. The electric field intensity due to each charge must then be calculated, considering the direction of the field as either away from or towards the charge. Finally, the resultant electric field is obtained by vectorially adding the individual field intensities.

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  • Familiarity with vector addition
  • Concept of orthocenter and centroid in triangles
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  • Learn about the properties of equilateral triangles and their centroids
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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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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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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.
Thanks.
 

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