A) \[12\text{ }V{{m}^{-1}}\]
B) \[-6\text{ }V{{m}^{-1}}\]
C) \[6V{{m}^{-1}}\]
D) \[-12V{{m}^{-1}}\]
Correct Answer: D
Solution :
Here, electric potential \[V=3{{x}^{2}}\] Electric field, \[E=-\frac{\partial V}{\partial x}=-\frac{\partial }{\partial x}(3{{x}^{2}})=-6x\] \[\therefore \] \[E(2,0,1)=-12\,V{{m}^{-1}}\]You need to login to perform this action.
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