1. A thin rod of length W has uniform charge per length A. Find the electric potential (voltage) at the position P as shown. Assume V = 0 at r = ∞ for problems on this worksheet. Use the integration variable u as defined in the diagram to write the voltage at point P. Include the limits of integration but you do not need to evaluate the integral. P Hint: break up the rod into small pieces of length du and use the point charge formula for the voltage due to the small piece dV = Kdq/r with dq and r written in terms of the givens A, L, z and integration variable u and du. W 3 du и ------

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1. A thin rod of length W has uniform charge per length A. Find the electric potential (voltage) at the position P as
shown. Assume V = 0 at r = o for problems on this worksheet.
Use the integration variable u as defined in the diagram to write the
voltage at point P. Include the limits of integration but you do not
need to evaluate the integral.
P
Hint: break up the rod into small pieces of length du and use the
point charge formula for the voltage due to the small piece dV =
Kdq/r with dą and r written in terms of the givens à, L, z and
integration variable u and du.
W
3
du
0.
Transcribed Image Text:1. A thin rod of length W has uniform charge per length A. Find the electric potential (voltage) at the position P as shown. Assume V = 0 at r = o for problems on this worksheet. Use the integration variable u as defined in the diagram to write the voltage at point P. Include the limits of integration but you do not need to evaluate the integral. P Hint: break up the rod into small pieces of length du and use the point charge formula for the voltage due to the small piece dV = Kdq/r with dą and r written in terms of the givens à, L, z and integration variable u and du. W 3 du 0.
Expert Solution
Step 1

Let a be the shortest distance between the small length du and point P.

Write the expression for a.

a=u2+z2

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