A short, charged, thin, plastic rod of length 2a is placed on the y-axis. The total charge on the rod is +Q Coulombs. We want to determine the total electric field at a general point, P located on the z-axis. Notice the symmetry of the source, charged object about the z-axis. +a - a Y P X
A short, charged, thin, plastic rod of length 2a is placed on the y-axis. The total charge on the rod is +Q Coulombs. We want to determine the total electric field at a general point, P located on the z-axis. Notice the symmetry of the source, charged object about the z-axis. +a - a Y P X
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Transcribed Image Text:A short, charged, thin, plastic rod of length 2a is placed on the y-axis. The total charge on the
rod is +Q Coulombs. We want to determine the total electric field at a general point, P located
on the x-axis. Notice the symmetry of the source, charged object about the x-axis.
+a
- a
Y
P
X
Transcribed Image Text:10. Write an equation for the magnitude of the displacement vector, R.
11. Write an integral for the total electric field due to dq. Then, substitute in all the expressions
for dq, R and R and rewrite the integral for E.
12. The previous exercise should give two integrals. One for the x-component and one for the y
component. Notice the y -component integration is of an odd function about symmetric
limits. So, the y - component of the field is zero. See the document labeled "Tough
Integral.pdf to determine the x-component. Write the final expression for the electric field
using that document.
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