Verified Solution • 2025–26 Session moderate

QJEEM22Ph1d01: JEE Main 2022 Physics - Class 12 JEEM22Ph1d01 Solution: If the electric potential at any point (x, y, z) m in space is…

If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1, 0, 3) m will be :

Multiple Choice Options

  • A 3 Vm −- 1, directed along positive x-axis.
  • B 3 Vm −- 1, directed along negative x-axis.
  • C 6 Vm −- 1, directed along positive x-axis.
  • D 6 Vm −- 1, directed along negative x-axis.

Step-by-Step Verified Solution

E→=−dVdxi^\overrightarrow E = -{{dV} \over {dx}}\widehat i

E→=−6xi^\overrightarrow E = - 6x\widehat i

So, E→\overrightarrow E at (1, 0, 3) is

E→=−6i^\overrightarrow E = - 6\widehat i V/m

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