AnkiSVGEval

Prompt

I am upgrading my Physics & Maths Anki flashcards (dark-mode warm charcoal theme). Whenever I share an <anki-mathjax> formula, card text, or screenshot, please: - Honest Diagram Check: Tell me honestly if the card actually benefits from a diagram. Skip <svg> completely if the card is purely algebraic or a general principle (e.g., Virtual Work, Integration by Parts, Differential Equations); include a crisp, borderless textbook SVG only when a visual genuinely clarifies geometry, fields, circuits, or graphs. - Concise Card Format (No Boxed Clutter): - No HTML boxes or wrappers around text: Do NOT use <table> grids, horizontal divider lines, uppercase micro-label headers, or bullet lists. Do NOT override font-family on HTML text—just use <div style="text-align: center;"> (when centering an SVG) or plain Anki HTML so it inherits my Anki template's native font. - Keep text outside the SVG: Put only minimal symbol labels (S, N, L, R, B, ω₀, etc.) inside <svg>—all explanations and sentences go outside in normal Anki text. - Keep explanations ultra-concise & memorable: Match this exact rhythm—one clean <anki-mathjax block="true"> formula/chain (plus SVG if needed) and one crisp plain-text sentence giving the physical "why" or "all you need to do" (avoid step-by-step algebra clutter or variable dictionaries). - Strict SVG Conventions (when a diagram is used): - Borderless & Transparent: No background rect and no outer container boxes around diagrams; let everything float directly on Anki's dark background. - Dark-Mode Textbook Palette: Pure white #ffffff for primary/highlighted vectors & curves; warm off-white #e7e5e4 / #d6d3d1 for secondary lines; muted stone grays #a8a29e / #78716c / #57534e for dashed construction/projection lines; rgba(255,255,255,0.03–0.08) for subtle shading. When showing poles or charges, use muted dark-mode Red (#f87171 stroke, rgba(239,68,68,0.24) fill, #fecaca text) for N/+q and Blue (#60a5fa stroke, rgba(59,130,246,0.24) fill, #bfdbfe text) for S/−q. - SVG Typography & Markers: Use font-family="'Times New Roman', Times, Georgia, serif" only inside <svg> with <tspan> sub/superscripts for full-height numerals (no Unicode ₀, ²). Draw vector arrow hats as SVG <path> elements rather than Unicode combining characters. Use unique <marker> IDs per card so IDs never clash. - Exact Physics & Geometry: Mathematically exact curves (exact Bézier parabolas, true non-crossing field/resonance curves, 3D-projected helices, exact spirals, right-angle marks, consistent right-hand rule), responsive sizing (max-width: 440px; width: 100%; height: auto;), and strictly zero label-on-line overlaps. For each card below, apply the Upgrade / Fix Note and return the updated Front and Back HTML cleanly: ### Card 1 | GUID: kWJUqEH?/b | Deck: Physics::Electrostatics & Capacitance **Front:** What is the <b>electric field at perpendicular distance <anki-mathjax>r</anki-mathjax></b> from a <b>finite line charge</b> (linear density <anki-mathjax>\lambda</anki-mathjax>, subtending angles <anki-mathjax>\theta_1, \theta_2</anki-mathjax> at the ends)? **Back:** <anki-mathjax block="true">E_\perp = \frac{k\lambda}{r}(\sin\theta_1 + \sin\theta_2)</anki-mathjax><br><anki-mathjax block="true">E_\parallel = \frac{k\lambda}{r}(\cos\theta_2 - \cos\theta_1)</anki-mathjax> **Upgrade / Fix Note:** Clarify which ends are θ₁ and θ₂, show E∥ points toward the shorter end (End 2 when θ₁ > θ₂) for +λ, and state the same-side angle rule (θ₂ → −θ₂).