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# Electric Fields Due to Different Charge Configurations

EANDM-$S3NQU Figure 1 depicts an end-on line of charge — a line of charge of length$l$in which the field point$P$lies a distance$x$from the end of the line of charge and the orientation of the line of charge is parallel to the$\hat{x}$-axis. Figure 2 depicts a transverse line of charge — a line of charge of length$l$in which the field point$P$lies a distance$x$from the center of the line of charge and the orientation of the line of charge is perpendicular to the$\hat{x}$-axis. Figure 3 depicts a ring of charge — a circular line of charge of length$l = 2\pi \rho$in which the field point$P$lies a distance$x$from the center of the ring of charge and the$\hat{x}$-axis is perpendicular to the plane containing the ring of charge. All three lines of charge have the same charge$q = 2 \text{ nC}$placed upon them, and all three lines have the same length$l = 4 \text{ cm}$. Figure 4 depicts the magnitude of the electric field as a function of$x\$ for the three different lines of charge. Note that the vertical axis uses a logarithmic scale.

The red line corresponds to the field due to

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The green line corresponds to the field due to

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The blue line corresponds to the field due to

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