Moderate# Electric Field Dependence on Configuration Size

EANDM-NM67WT

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 have the same length. $l$.

Figure 4 depicts the magnitude of the electric field as a function of $l$ for the three different lines of charge.

All fields are calculated at a field point located a distance $x = 4 \text{ mm}$ from the point $P$ shown in Figures 1, 2, and 3. Note that the vertical axis of this graph uses a logarithmic scale.

The red line corresponds to the field due to

.

The green line corresponds to the field due to

.

The blue line corresponds to the field due to

.