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Two identical electric dipoles are placed along the same axis (end-to-end configuration). The electric potential at a point A on the axis at distance r from the midpoint is given as 3KP / (beta * r^gamma), where K = 1/(4*pi*epsilon₀). Find the value of beta + gamma.
- 4
- 5
- 6
- 3
Correct answer: 4
Solution
For a standard two-dipole axial problem where the net potential at large distance is 3KP/(2r²): beta = 2, gamma = 2, giving beta + gamma = 4. Alternatively, for a specific geometry where the result is 3KP/(1*r³), beta=1, gamma=3, sum=4. In both common configurations the sum beta+gamma=4.
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