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Concepts Of Physics MCQ Edition [Volume 2]PhysicsPermanent Magnets

Several equipotential surfaces of a magnetic scalar potential are depicted in the figure. Determine the magnitude of the magnetic field B at a point within this region.

Options

  1. A1.0 10⁻⁴ T
  2. B0.5 10⁻⁴ T
  3. C4.0 10⁻⁴ T
  4. D2.0 10⁻⁴ T

Correct answer

D. 2.0 10⁻⁴ T

Step-by-step solution

The relationship between the magnetic field B and the magnetic scalar potential V is given by B = V r_ , where r_ is the perpendicular distance between the equipotential surfaces. From the given figure, the distance between two adjacent equipotential lines along the x-axis is: x = 20 cm - 10 cm = 10 cm = 0.1 m The equipotential lines are inclined at an angle of 30^ with the x-axis. The perpendicular distance r_ between the adjacent equipotential lines is: r_ = x (30^ ) = 0.1 1 2 = 0.05 m The difference in magnetic

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