in a certain region of space, the electric potential is V(x,y)= Axy-By2+Cy whereA,B,C are positive constants...
in a certain region of space, the electric potential is V(x,y)= Axy-By2+Cy whereA,B,C are positive constants with values 5,4,10 units. a) calculate the x,y,z componet of eletric field for x= 2 V/m and y= 1V/m. b) also find the resultant electirc field
Homework Answers
a) Ex = -dV/dx
= -d(Axy-By^2 + Cy) /dx
= -Ay = -4y
Ey = -dV/dy
= -d(Axy-By^2 + Cy)/dy
= -Ax - 2By + C
= -5x - 2*4*y + 10
= -5x - 8y + 10
Ez = -dV/dz
= -d( Axy - By^2+ Cy) / dz.
= 0
b) electric field = -4y i + ( -5x - 8y + 10) j
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