{"job_id":"anim-job-b3f2aa27-947f-4675-ac75-5e1649801a55","request_id":"test-physics-capacitor-1b2ba770-6450-4b1c-a815-8b28db3d7c87-1778704510421","status":"complete","asset":{"primary_url":"https://storage.googleapis.com/pupiltree-animation-assets/anim-job-b3f2aa27-947f-4675-ac75-5e1649801a55/walkthrough.mp4","thumbnail_url":"https://storage.googleapis.com/pupiltree-animation-assets/anim-job-b3f2aa27-947f-4675-ac75-5e1649801a55/thumb.jpg","transcript_url":"https://storage.googleapis.com/pupiltree-animation-assets/anim-job-b3f2aa27-947f-4675-ac75-5e1649801a55/transcript.vtt","interactive_url":"https://storage.googleapis.com/pupiltree-animation-assets/anim-job-b3f2aa27-947f-4675-ac75-5e1649801a55/index.html","scenefile_url":"https://storage.googleapis.com/pupiltree-animation-assets/anim-job-b3f2aa27-947f-4675-ac75-5e1649801a55/scene-source.json","duration_seconds":15,"byte_size":505576,"renderer":"html_three_js_local","parameters":{"style":"auto","executor":"native_render_executor","localPath":"/app/storage/assets/anim-job-b3f2aa27-947f-4675-ac75-5e1649801a55","interactivity":"none","renderer_style":"three_js","durationSeconds":15,"render_manifest":{"jobId":"anim-job-b3f2aa27-947f-4675-ac75-5e1649801a55","request":{"gap":{"topic":"capacitor-charging-curve","severity":"dangerous","error_type":"concept_misunderstanding","memory_state":"fragile","display_topic":"Capacitor Charging in an RC Circuit","common_wrong_answer":"A capacitor charges linearly at a constant rate.","confidence_at_error":"high","correct_understanding":"Capacitor charges exponentially: V(t) = V₀(1 − e^(−t/RC)). Rate slows as charge builds up."},"target":{"style":"auto","render":{"fps":30,"format":"mp4","resolution":"1920x1080","include_thumbnail":true,"include_transcript":true},"audience":{"tone":"neutral_instructional","grade":"12","language":"en"},"interactivity":"none","duration_seconds":15},"context":{"chapter":{"name":"Electrostatic Potential and Capacitance","ncert_class":12,"ncert_chapter_number":2},"sub_topics":[{"topic":"Capacitor","key_concepts":["capacitance","charging","RC circuit","time constant"]}]},"metadata":{"priority":"normal"},"exam_type":"neet","asset_type":"simulation","request_id":"test-physics-capacitor-1b2ba770-6450-4b1c-a815-8b28db3d7c87-1778704510421","subject_area":"physics"},"renderer":"html_three_js_local","storyboard":{"beats":[{"label":"Topic","visual":"Show the topic title and the key physical context.","narration":"Capacitor Charging in an RC Circuit"},{"label":"Mistake","visual":"Show the wrong approach and why it seems plausible.","narration":"A capacitor charges linearly at a constant rate."},{"label":"Correction","visual":"Show the right approach step by step.","narration":"Capacitor charges exponentially: V(t) = V₀(1 − e^(−t/RC)). Rate slows as charge builds up."},{"label":"Concept","visual":"Highlight the key formula and the governing relationship.","narration":"capacitance. charging. RC circuit"}],"title":"Capacitor Charging in an RC Circuit","sceneCode":"<!doctype html>\n<html lang=\"en\">\n<head>\n  <meta charset=\"utf-8\"/>\n  <meta name=\"viewport\" content=\"width=device-width, initial-scale=1\"/>\n  <title>RC Capacitor Charging: Exponential vs Linear</title>\n  <style>\n    :root{--bg:#0f1418;--panel:#182228;--line:#2e3e46;--accent:#e5ba67;--text:#f4f1ea;--muted:#c8d4da;--blue:#63b3ff;--green:#87e8a8;--red:#de7f76;}\n    *{box-sizing:border-box;}\n    body{margin:0;font-family:\"Plus Jakarta Sans\",\"Manrope\",ui-sans-serif,system-ui,sans-serif;background:radial-gradient(120% 90% at 20% -5%,#24343d 0%,var(--bg) 55%);color:var(--text);}\n    main{min-height:100vh;display:grid;grid-template-columns:minmax(300px,380px) 1fr;}\n    aside{border-right:1px solid var(--line);background:linear-gradient(180deg,rgba(31,46,53,.86),rgba(24,34,40,.92));padding:24px;overflow:auto;backdrop-filter:blur(6px);}\n    section{padding:24px;display:grid;place-items:center;}\n    h1{margin:0 0 10px;font-size:1.65rem;line-height:1.15;}\n    .sub{margin:0 0 16px;color:var(--muted);}\n    .formula{margin:0 0 14px;padding:10px;border:1px solid var(--line);border-radius:10px;background:#11191e;color:var(--accent);font-family:ui-monospace,monospace;font-size:0.9rem;box-shadow:inset 0 0 28px rgba(229,186,103,.08);}\n    .control{display:grid;gap:6px;margin:12px 0;}\n    .control input{width:100%;accent-color:var(--accent);}\n    ul{margin:14px 0 0 18px;padding:0;color:var(--muted);display:grid;gap:6px;}\n    .stage{width:min(1020px,95%);aspect-ratio:16/9;border:1px solid #445862;border-radius:14px;position:relative;overflow:hidden;background:radial-gradient(circle at 50% 38%,#2f4a57,#0f1418 72%);box-shadow:0 18px 60px rgba(0,0,0,.45), inset 0 0 90px rgba(255,255,255,.03);}\n    .stage::before{content:\"\";position:absolute;inset:0;background:linear-gradient(180deg,rgba(255,255,255,.06),transparent 34%);pointer-events:none;}\n    .legend{position:absolute;right:12px;top:12px;padding:8px 10px;border-radius:10px;border:1px solid #465a64;background:rgba(9,14,18,.58);font-size:0.8rem;color:var(--muted);backdrop-filter:blur(4px);}\n    @media(max-width:900px){main{grid-template-columns:1fr;}aside{border-right:0;border-bottom:1px solid var(--line);}}\n  </style>\n</head>\n<body>\n<main>\n  <aside>\n    <h1>RC Capacitor Charging</h1>\n    <p class=\"sub\">Exponential growth, not linear. Charge rate slows as voltage approaches steady state.</p>\n    <p class=\"formula\">V(t) = V₀(1 − e^(−t/RC))</p>\n    <label class=\"control\"><span>Resistance (R): <strong id=\"v-resistance\">100</strong> Ω</span><input id=\"c-resistance\" type=\"range\" min=\"50\" max=\"500\" step=\"10\" value=\"100\"/></label>\n    <label class=\"control\"><span>Capacitance (C): <strong id=\"v-capacitance\">10</strong> µF</span><input id=\"c-capacitance\" type=\"range\" min=\"1\" max=\"50\" step=\"1\" value=\"10\"/></label>\n    <label class=\"control\"><span>Applied Voltage: <strong id=\"v-voltage\">10</strong> V</span><input id=\"c-voltage\" type=\"range\" min=\"5\" max=\"20\" step=\"1\" value=\"10\"/></label>\n    <label class=\"control\"><span>Speed: <strong id=\"v-speed\">1.0</strong>×</span><input id=\"c-speed\" type=\"range\" min=\"0.2\" max=\"3\" step=\"0.1\" value=\"1.0\"/></label>\n    <ul>\n      <li><strong style=\"color:var(--red);\">❌ Wrong:</strong> V increases at constant rate</li>\n      <li><strong style=\"color:var(--green);\">✓ Right:</strong> V follows exponential curve</li>\n      <li>Red line = mistaken linear model</li>\n      <li>Green line = correct exponential model</li>\n      <li>Charging slows as capacitor fills</li>\n      <li>Time constant τ = RC</li>\n    </ul>\n  </aside>\n  <section>\n    <div class=\"stage\" id=\"stage\">\n      <div class=\"legend\" id=\"legend\">Ready</div>\n      <canvas id=\"sim-cv\" style=\"position:absolute;inset:0;width:100%;height:100%;\"></canvas>\n    </div>\n  </section>\n</main>\n<script>\nconst controls = [\n  {\"key\":\"resistance\",\"label\":\"Resistance\",\"min\":50,\"max\":500,\"step\":10,\"value\":100,\"units\":\"Ω\"},\n  {\"key\":\"capacitance\",\"label\":\"Capacitance\",\"min\":1,\"max\":50,\"step\":1,\"value\":10,\"units\":\"µF\"},\n  {\"key\":\"voltage\",\"label\":\"Applied Voltage\",\"min\":5,\"max\":20,\"step\":1,\"value\":10,\"units\":\"V\"},\n  {\"key\":\"speed\",\"label\":\"Speed\",\"min\":0.2,\"max\":3,\"step\":0.1,\"value\":1,\"units\":\"×\"}\n];\nfor(const c of controls){\n  const inp=document.getElementById('c-'+c.key);\n  const out=document.getElementById('v-'+c.key);\n  inp?.addEventListener('input',()=>{out.textContent=inp.value;window.updateModel?.();});\n}\n(function(){\n  const cv=document.getElementById('sim-cv');\n  const ctx=cv.getContext('2d');\n  function resize(){const r=cv.getBoundingClientRect();if(r.width>0){cv.width=r.width;cv.height=r.height;}}\n  resize();new ResizeObserver(resize).observe(cv);\n  \n  let lastTs=0;\n  let globalTime=0;\n  let trailExponential=[];\n  let trailLinear=[];\n  const maxTrailLen=200;\n  \n  function glowDot(x,y,r,color,a){\n    const g=ctx.createRadialGradient(x,y,0,x,y,r*2.6);\n    g.addColorStop(0,color.replace('ALPHA',String(a)));\n    g.addColorStop(1,color.replace('ALPHA','0'));\n    ctx.fillStyle=g;ctx.beginPath();ctx.arc(x,y,r*2.6,0,Math.PI*2);ctx.fill();\n  }\n  \n  function arrow(x1,y1,x2,y2,color){\n    const dx=x2-x1,dy=y2-y1,l=Math.sqrt(dx*dx+dy*dy);\n    if(l<2)return;\n    const nx=dx/l,ny=dy/l,s=10;\n    ctx.strokeStyle=color;ctx.lineWidth=2;\n    ctx.beginPath();ctx.moveTo(x1,y1);ctx.lineTo(x2,y2);ctx.stroke();\n    ctx.fillStyle=color;ctx.beginPath();\n    ctx.moveTo(x2,y2);\n    ctx.lineTo(x2-s*nx+s*0.4*ny,y2-s*ny-s*0.4*nx);\n    ctx.lineTo(x2-s*nx-s*0.4*ny,y2-s*ny+s*0.4*nx);\n    ctx.fill();\n  }\n  \n  function tick(ts){\n    const dt=Math.min(0.04,(ts-lastTs)/1000);lastTs=ts;\n    const W=cv.width,H=cv.height;\n    \n    // Read sliders\n    const R=Number(document.getElementById('c-resistance').value);\n    const C=Number(document.getElementById('c-capacitance').value);\n    const V0=Number(document.getElementById('c-voltage').value);\n    const speed=Number(document.getElementById('c-speed').value);\n    \n    // Update global time\n    globalTime+=dt*speed;\n    \n    // Calculate time constant\n    const tau=R*C/1e6; 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