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 r-axis. Notice the symmetry of the source, charged object about the z-axis. +a - a Y I 1. Is this a one or two dimensional, source-charge integration?
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 r-axis. Notice the symmetry of the source, charged object about the z-axis. +a - a Y I 1. Is this a one or two dimensional, source-charge integration?
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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 r-axis. Notice the symmetry of the source, charged object about the z-axis.
+a
- a
Y
P
X
1. Is this a one or two dimensional, source-charge integration?
2. What will be the coordinate that serves as the integration variable?
3.
What should we expect the y-component of the total electric field at point P to be?
4.
What is the position vector for the field point, P!
5.
What is the position vector for a differential element of the source charge distribution? This
differential element of charge is labeled dq.
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