- #1
Soccerdude
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Question
A thin nonconducting rod with a uniform charge distribution of positive charge Q is bent into a circle of radius R. The central perpendicular axis through the ring is a z axis, with the origin at the center of the ring. What is the magnitude of the electric field due to the rod at (a) z = 0 (b) z = ∞ (c) In terms of R, at what postive value of z is that magnitude maximum? (d) If R = 2.00 cm and Q = 4.00 μC, what is the maximum magnitude?
Relevant Equations
dE = (kedq/r2)[itex]\hat{r}[/itex]
λ = Q/Length
Solution Attempt
I'm not really sure how to even approach this problem. I know that E = kzQ/(z2+R2)3/2 but I'm not quite sure how to reach this.
Help is much appreciated.
A thin nonconducting rod with a uniform charge distribution of positive charge Q is bent into a circle of radius R. The central perpendicular axis through the ring is a z axis, with the origin at the center of the ring. What is the magnitude of the electric field due to the rod at (a) z = 0 (b) z = ∞ (c) In terms of R, at what postive value of z is that magnitude maximum? (d) If R = 2.00 cm and Q = 4.00 μC, what is the maximum magnitude?
Relevant Equations
dE = (kedq/r2)[itex]\hat{r}[/itex]
λ = Q/Length
Solution Attempt
I'm not really sure how to even approach this problem. I know that E = kzQ/(z2+R2)3/2 but I'm not quite sure how to reach this.
Help is much appreciated.