Electric potential?
please solve it in detail?
please solve it in detail?
1 Answer
(B)
Explanation:
We know that electric potential
#gradcdot grad V=(-rho)/epsilon_0#
#=>grad^2V=(-rho)/epsilon_0#
where#epsilon_0# is permittivity.
It is given that the potential function is dependent on
#rho=-epsilon_0(d^2V)/dx^2#
Inserting given function of
#rho=-epsilon_0(d^2)/dx^2(-2x^3+3)#
#=>rho=epsilon_0(d)/dx(6x^2)#
#=>rho=12epsilon_0 x#
.-.-.-.-.-.-.-.-.-.-.-.-.-.-.-
The electric field
#grad cdot vecE=rho/epsilon_0#
and the electric field is related to the electric potential
#vecE=-gradV#
Combining these two we get Poisson's equation