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The magnitude of the electric field E due to a short electric dipole is measured at various large distances r on its equatorial plane. A graph is plotted showing (E) on the y-axis versus (r) on the x-axis. The slope of the resulting straight line is :

Options

  1. A-3
  2. B-2
  3. C3
  4. D-1

Correct answer

A. -3

Step-by-step solution

The electric field E due to a short electric dipole on the equatorial plane at a large distance r is given by: E = kp r^3 Taking the natural logarithm on both sides, we get: (E) = ( kp r^3 ) (E) = (kp) - 3 (r) Comparing this with the equation of a straight line y = mx + c , where y = (E) and x = (r) , the slope m is -3 . Answer: -3

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