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A
V = 4qr/(24πε₀y)
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B
V = q/(34πε₀y³)
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C
V = qr²/(24πε₀y³)
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D
V = qr³/(4πε₀y²)
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C
Answer:
C
To calculate the resultant potential at point A, we need to consider the electric potentials contributed by each charge at that point. The potential at point A due to the charge q₂ positioned at x = y - r is given by qr²/(4πε₀(y - r)³). This can be obtained using the formula for electric potential due to a point charge. The potential at point A due to the charge -q positioned at x = r is -q/(4πε₀r). The negative sign arises because the charge is negative. The potential at point A due to the charge q₂ positioned at x = y + r is qr²/(4πε₀(y + r)³).] Taking into account all three charges, the resultant potential at point A is obtained by summing up these individual potentials. Hence, the correct answer is option C) V = qr²/(24πε₀y³).
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