What is the electric potential at the point indicated with the dot in the figure?

electric-potential

#1

What is the electric potential at the point indicated with the dot in the figure?
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What is the electric potential at the point indicated with the dot in the figure?
Express your answer using two significant figures.
V = _________V

Concepts and reason
The concept required to solve the problem are electric potential due to a point charge and Pythagoras theorem.
First, calculate the electric potential at the point due to each charge by using the value of charge and distance of the charge from that point.
Later, use the Pythagoras theorem to calculate the distance of the point from one of the charge.
Finally, add the electric potential due to each charge and calculate the electric potential at the point due to all the charges.

Fundamentals
Electric potential at any point in space produced by a point charge is,
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Here, q is the point charge, r is the distance between the point charge and the point, and k is the Coulomb’s constant.
According to Pythagoras theorem,
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Here, h is the hypotenuse of a right-angled triangle, p is the perpendicular of the triangle and b is the base of the triangle.
Electric potential at any point due to all the charges is equal to the sum of the electric potential due to each charge.

Answer:

Draw a figure showing charges located at the three corners of a rectangle.
In the following figure charges q1,q2 and q3 are located at the three corners of the rectangle. A point A is located at the fourth corner of the rectangle where the electric potential due to all the three charges is required.
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The figure showing three charges is drawn. Three charges are on the corners of the rectangle formed.

Calculate the electric potential at point A due to all charges.
Electric potential at point A due to all charges is,
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Electric potential at the point is 1410 V.
Electric potential at any point due to all the charges is equal to the sum of the electric potential due to each charge.