Central Fields

Same Radius Same Field around the Source

Field magnitude depends on radius while direction points inward. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Equal radii give equal field magnitudes

Both bodies sit at radius 4, so both checked field magnitudes are 1.

gright=1gtop=1g_{\mathrm{right}}=1\quad g_{\mathrm{top}}=1
Same radius, different angleEach field vector points toward the same source.right fieldtop fieldsame radius

Direction changes while magnitude stays radius-bound

The right body and top body use different inward arrows, but the value 1 is unchanged.

∣g∣=1616=1|g|=\frac{16}{16}=1
Field direction is inwardThe checked radius fixes magnitude; the vector geometry fixes direction.right fieldtop fieldsame radius