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
whereepsilon_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