- #1
IslandHead
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Homework Statement
The electrical potential can be described by the following equation:V= 200/(x2 + y2 )1/2 find dV when x=2 and y=1
Homework Equations
n/a
The Attempt at a Solution
dv/d(x,y) = ∂/∂x + ∂/∂y
=200/(x2 + y2)(1/2) +200/(x2 + y2)(1/2)
replace variables with C where necessary and rearrange for easy of deriving =200(x2 + C)(1/2) +200(C + y2)(1/2)
Chain rule and exponent rule
=200(-1/2)(2x)(x2 + C)(-3/2) +200(-1/2)(2y)(C + y2)(-3/2)
=-200x(x2 + C)(-3/2) + -200y)(C + y2)(-3/2)
=-200x(x2 + y2) )(-3/2) + -200y)(x2+ y2)(-3/2)
Then I plug in the values x=2 and y=1 and dV=-53.7 V/m, I'm not very confident with multivariable calculus and just wanted to check to see if this is right.I've never had to do this before, it is fir physics, not a math class