What is the electric potential at the point indicated with

Elle Weber

Elle Weber

Answered question

2022-05-13

What is the electric potential at the point indicated with the dot in the figure? Express your answer to two significant figures and include the appropriate units.
photo

Answer & Explanation

Mackenzie Zimmerman

Mackenzie Zimmerman

Beginner2022-05-14Added 15 answers

Step 1
Use the properties of equilateral triangle:
r = a 3 = 3 3 = 3   c m = 3 × 10 2   m
The potential at given point is,
V = k q 1 r + k q 2 r + k q 3 r = k r ( q 1 + q 2 + q 3 ) = 9 × 10 9 3 × 10 2 ( 1 × 10 9 2 × 10 9 2 × 10 9 ) = 9 × 10 9 × 10 9 × ( 3 ) 3 × 10 2 = 27 3 × 10 2 = 1558   V
Thus, the electric potential at point indicated (rounding off to two significant figures) is 1600   V

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