s is a distance, in the problem there is only one point given though... So in this scenario it would be -dV/d(x,y) cause s would be defined by the x,y coordinate system.
The question is as follows:
"The electric potential in a region of space is V= 200/(x2 + y2 )1/2 , where x and y are in meters. What are the strength and direction of the electric field at (x,y) = (2.0m, 1.0m)?"
the relevant equation from the chapter is E=-dv/ds = the negative slope potential...
I am not very familiar with the notation. I haven't taken any multivariable calculus, and I'm a little rusty in my calculus in general and am just trying to solve a problem for my first year physics course. Do I need to solve for dx and dy, or do I just leave the dx and dy as bits of notation? I...
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...
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...
Homework Statement
Graphing The ΔV between three charged metal electrodes, in regards to x distance
Here is the the picture I'm given with the problem. The hint tells me to assume that V=0 when x=0.Homework Equations
C=Q/ΔVThe Attempt at a Solution
I thought the electrodes looked kinda like a...
Homework Statement
A 1.0--tall cylinder contains air at a pressure of 1 . A very thin, frictionless piston of negligible mass is placed at the top of the cylinder, to prevent any air from escaping, then mercury is slowly poured into the cylinder until no more can be added without the cylinder...