- #1
Alan I
- 15
- 0
Homework Statement
A thin ring (radius r = 1.41 cm) carries a charge Q = 8.57 pC distributed uniformly along its length. The ring lies in the y-z plane, so the axis through its center is the x-axis .
A small detector is moving along the positive x-axis toward the ring at velocity v = -0.543i mm/s. When the detector reaches the point (5.91 cm,0), at what rate does it measure the potential is changing, in V/m? The sign will indicate whether it is increasing or decreasing.
Homework Equations
V = kQ / (x2+R2)1/2
The Attempt at a Solution
I honestly cannot even figure out now looking at my notes what I actually did as it was towards the morning when I did this but this is what I have:
V = (Q/2πε0r2)*[(x2+r2)1/2-x]
It seems I took dV/dt and got (Q/2πε0r2)* x/(x2+r2)1/2
and then plugging in values I got - 0.409