EMG-31

Electric dipole p

Separated-charge dipole.

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GoverningElectric dipole p

Governing equation

p=q d

$d \in \left[0.1, 40\right]$

where

q: q (nC)
d: d (mm)
p: Electric dipole p (pC·m)

The figure, part by part

Each numbered marker wears the color of its card. Hover a card to light the marker. Tap a marker to jump to that card. The slider walks a red point along the curve; Animate drawing traces it like a pen.

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①

Governing law — red

p=q d

$d \in \left[0.1, 40\right]$

$d = 0.1$ $p = 0.1$

Along the curve

②

Domain of the variable — blue

d_{\min} = 0.1,\quad d_{\max} = 40

$d \in \left[0.1, 40\right]$

$d = 0.1$ $d = 0.1$

Along the curve

③

Response curve — green

p=q d

$d \in \left[0.1, 40\right]$

$d = 0.1$ $p = 0.1$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}p}{\mathrm{d}d}

$d \in \left[0.1, 40\right]$

$d = 0.351$ $p^{\prime} = 1$

Along the curve

Lecture brief

Historical brief

Coulomb, Gauss, Ampère, Faraday and Maxwell (1861–65) unified charge, current and light. The lab computes fields, induction, Poynting flux and the electromagnetic wave in SI. This sheet (EMG-31 — Electric dipole p) is the form associated with Electric dipole p. Working symbols: $q$ , $d$ $\rightarrow$ $p$ . Separated-charge dipole. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

p

from

q

d

in Electromagnetism via

p=q d

Separated-charge dipole. Use it when a real electromagnetism question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

q = 1.000\,\mathrm{nC}

d = 2.000\,\mathrm{mm}

, the governing relation

p=q d

yields

p = 2.000\,\mathrm{pC·m}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

q q1 nCd d2 mm

Outputs

Electric dipole p p2.000 pC·m

Reading speed

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Separated-charge dipole. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube