Concept explainers
(a)
The electric field at the center of the triangular configuration of charges.

Answer to Problem 23PE
Explanation of Solution
Given:
Point charges located at the corners of an equilateral triangle 25.0 cm on a side.
Formula used:
Total electric field
Calculation:
Let O be the centroid of our equilateral triangle CBA. Distance from O to any vertex is
Electric field is generally three-dimensional, but since all charges are coplanar with O, z component vanishes, so find x and y components (projections) of
Notice that
Analogously
It's tilted
Conclusion:
Thus,
(b)
The combination of charges that will give a zero-strength electric field at the center of the triangular configuration.

Answer to Problem 23PE
There is no combination of charges other than
Explanation of Solution
Given:
Point charges located at the corners of an equilateral triangle
Calculation:
Suppose
Conclusion:
There is no combination of charges other than
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