Q37 / 142 · NTA Abhyas (JEE Main) 2020 · Physics · Electrostatics

The electric potential at a space point P x, y, z is given as V=x2+y2+z2. The modulus of the electric field at that point is proportional to

  • Correct answer
    A
    V12
  • B
    V
  • C
    V32
  • D
    V2

Solution

Ex=-2x, Ey=-2 and Ez=-2z

E=Ex2+Ey2+Ez2

=4x2+4y2+4z2

=2x2+y2+z2=2V

Hence, the correct answer is option: 'A'.

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