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BITSAT2010PhysicsElectrostaticsActual

In a region, the potential is represented by V ( x , y , z )=6 x -8 xy -8 y +6 yz , where V is in volts and x , y , z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1,1,1) is :

Options

  1. A6 5 ~N
  2. B30 ~N
  3. C24 ~N
  4. D4 35 ~N

Correct answer

D. 4 35 ~N

Step-by-step solution

E =- V x i - V y j - V z k =-[(6-8 y ) i +(-8 x -8+6 z ) j +(6 y ) k ] At (1,1,1), E =2 i +10 j -6 k ( E )= 2²+10²+6² = 140 =2 35 F = q E =2 2 35 =4 35

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