ISRO Electronics & Communication (ECE) 2015 - Question 46

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Topic: Electromagnetics

A potential field is given by Φ = 2xy^2 - 3y^2 z. If x̂, ŷ, ẑ are the unit vectors along x, y and z directions respectively, the field intensity at (0, 1, 0) is:

  • A. 0 V/m
  • B. 2x̂ - 3ẑ
  • C. -2x̂ + 3ẑ
  • D. 2x̂ + 3ẑ

Answer: C. -2x̂ + 3ẑ

Explanation: E = -∇Φ = -(2y^2)x̂ - (4xy - 6yz)ŷ - (-3y^2)ẑ. E(0, 1, 0) = -2x̂ + 3ẑ.

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