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Question

In a certain region of space, the potential is given by V=k[2x2y2+z2]. The electric field at the point(1,1,1) has magnitude :
  1. 2k6
  2. 2k3
  3. k6
  4. 4k3

A
k6
B
2k3
C
4k3
D
2k6
Solution
Verified by Toppr

Given, V=k[2x2y2+z2]

Electric field , E=(dVdx^i+dVdy^j+dVdz^k)

or,E=k(4x^i2y^j+2z^k)

or,E(1,1,1)=k(4^i2^j+2^k)

Magnitude of electric field=|E(1,1,1)|=k2(16+4+4)=k24=2k6

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