0
4.3kviews
Given the potential V=2x2y5zx and a point P(-4 , 3 , 6). Find V, E, D and ρv at P.
1 Answer
0
740views

To find V at P:

V|(4,3,6)=2(4)2(3)5(6)(4)=216v

To find ˉE:

ˉE=v=[dvdx¯ax+dvdy¯ay+dvdz¯az]ˉE=[(4×y5z)¯ax+(2×2)¯ay+(5x)¯az]ˉE=4xy+5z¯ax2x2¯ay+5x¯azˉE|(4,3,6)=4(4)(3)+5(6)¯ax2(4)2ay+5(4)¯az=78¯ax32ay20¯az

To find ˉD:

ˉD=εoˉEˉD=εo[78¯ax32ay20¯az]ˉD|(4,3,6)=εo×E|(4,3,6)

Please log in to add an answer.