Dipole in Uniform E Field
This interactive simulator explores Dipole in Uniform E in Electricity & Magnetism. τ = −pE sin θ, U = −pE cos θ; damped rotation; optional AC on E. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Electricity & Magnetism.
Key terms
- dipole
- uniform
- dipole uniform field
- electricity
- magnetism
How it works
A **rigid dipole** **p** in a **uniform** electric field **E** feels **τ = p × E**. With **E** along **+x** and **θ** the angle from **E** to **p**, **τ_z = −pE sin θ** and **U = −pE cos θ**. The sim integrates **I θ¨ = τ − γ θ̇** (damped). Turn on **AC** to wobble **E** and watch **lag** or **parametric**-like motion — still a **toy** scalar model, not a full 3D rigid body.
Key equations
More from Electricity & Magnetism
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Cyclotron (Schematic)
B uniform, oscillating E in gap; spiral growth; ω_c = (q/m)B in sim units.
Gradient-B Drift
B_z(x,y) with weak gradient; orbit from q(E+v×B) at local B — gyration + drift.
Magnetic Mirror (Bottle)
Axial B(z) pinch; μ adiabatic invariant, v∥ from −μ ∂B/∂z — Van Allen / mirror sketch.
Dipole Radiation Pattern
Time-averaged power ∝ sin² θ in the plane containing the dipole axis (far-field cartoon).
Bode Diagram (RC low-pass)
|H| in dB and phase vs log f; f_c = 1/(2πRC) marked — first-order pole intuition.