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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Magnetic Properties of Matter

NTA Abhyas 2020 · Physics · Magnetic Properties of Matter

The potential of the electric field produced by point charge at any...

The potential of the electric field produced by point charge at any point (x,y,z)( x, y, z ) is given by V=3x2+5,V = 3x^{2} + 5, where x,yx, y are in metres and V is in volts. The intensity of the electric field at (−2m,1m,0m)( - 2m, 1m, 0m ) is

Options

  1. A+17Vm−1+ 17Vm^{- 1}
  2. B−17Vm−1- 17Vm^{- 1}
  3. C+12Vm−1+ 12Vm^{- 1}
  4. D−12Vm−1- 12Vm^{- 1}

Correct answer

C. +12Vm−1+ 12Vm^{- 1}

Step-by-step solution

Potential (V)=3x2+5( V ) = 3x^{2} + 5

Intensity of the electric field=

−dVdx=6x\dfrac{-dV}{dx} = 6x

∴ Eatx = - 2

=−6(−2)=+12Vm−1=- 6 ( - 2 ) =+ 12Vm^{- 1}
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