{"id":2477,"date":"2026-02-16T23:16:09","date_gmt":"2026-02-16T21:16:09","guid":{"rendered":"https:\/\/science-x.net\/?page_id=2477"},"modified":"2026-02-16T23:50:06","modified_gmt":"2026-02-16T21:50:06","slug":"sound-level-db-calculator","status":"publish","type":"page","link":"https:\/\/science-x.net\/?page_id=2477","title":{"rendered":"Sound Level (dB) Calculator"},"content":{"rendered":"\n<div class=\"eco-tool wp-block-group\" id=\"eco-tool-db-fixed\">\n  <div class=\"eco-tool__header\">\n    <h2 class=\"eco-tool__title\">Sound Level (dB) Calculator<\/h2>\n    <p class=\"eco-tool__lead\">\n      Convert ratios to decibels and estimate sound pressure level (SPL). Useful for audio and acoustics basics.\n    <\/p>\n  <\/div>\n\n  <form class=\"eco-tool__form\" novalidate>\n    <div class=\"eco-tool__grid3\">\n      <!-- Mode -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\" data-db=\"labelMode\">Mode<\/label>\n        <select class=\"eco-tool__input\" data-db=\"mode\">\n          <option value=\"power_ratio_to_db\" selected>Power ratio \u2192 dB (10\u00b7log10)<\/option>\n          <option value=\"amp_ratio_to_db\">Amplitude ratio \u2192 dB (20\u00b7log10)<\/option>\n          <option value=\"db_to_power_ratio\">dB \u2192 Power ratio<\/option>\n          <option value=\"db_to_amp_ratio\">dB \u2192 Amplitude ratio<\/option>\n          <option value=\"spl_from_pressure\">SPL from pressure (Pa)<\/option>\n        <\/select>\n        <div class=\"eco-tool__hint\" data-db=\"hintMode\">Choose what you want to calculate.<\/div>\n      <\/div>\n\n      <!-- Input A -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\" data-db=\"labelA\">Input<\/label>\n        <input class=\"eco-tool__input\" data-db=\"a\" type=\"number\" step=\"any\" placeholder=\"e.g., 2\" inputmode=\"decimal\" \/>\n        <div class=\"eco-tool__hint\" data-db=\"hintA\">Enter a value.<\/div>\n      <\/div>\n\n      <!-- Reference B -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\" data-db=\"labelB\">Reference (optional)<\/label>\n        <input class=\"eco-tool__input\" data-db=\"b\" type=\"number\" step=\"any\" placeholder=\"Leave blank if ratio already\" inputmode=\"decimal\" \/>\n        <div class=\"eco-tool__hint\" data-db=\"hintB\">If you enter both, we use ratio = A\/B.<\/div>\n      <\/div>\n\n      <!-- Presets -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\">Quick examples<\/label>\n        <select class=\"eco-tool__input\" data-db=\"preset\">\n          <option value=\"\" selected>Choose an example\u2026<\/option>\n          <option value=\"double_power\">Double power (ratio 2 \u2192 +3.01 dB)<\/option>\n          <option value=\"double_amp\">Double amplitude (ratio 2 \u2192 +6.02 dB)<\/option>\n          <option value=\"spl_whisper\">Whisper-ish pressure (0.002 Pa \u2192 ~40 dB SPL)<\/option>\n        <\/select>\n        <div class=\"eco-tool__hint\">Good for testing that buttons work.<\/div>\n      <\/div>\n\n      <!-- Formulas -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\">Formulas<\/label>\n        <div class=\"eco-tool__noteBox\" data-db=\"formula\">\n          Power: dB = 10\u00b7log\u2081\u2080(P\u2082\/P\u2081)<br>\n          Amplitude: dB = 20\u00b7log\u2081\u2080(A\u2082\/A\u2081)<br>\n          SPL: dB = 20\u00b7log\u2081\u2080(p\/p\u2080), p\u2080 = 20 \u00b5Pa\n        <\/div>\n        <div class=\"eco-tool__hint\">Ratios must be positive.<\/div>\n      <\/div>\n\n      <!-- Tips -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\">Rule of thumb<\/label>\n        <div class=\"eco-tool__noteBox\">\n          +3 dB \u2248 2\u00d7 power<br>\n          +10 dB = 10\u00d7 power<br>\n          +6 dB \u2248 2\u00d7 amplitude\n        <\/div>\n        <div class=\"eco-tool__hint\">These are approximations.<\/div>\n      <\/div>\n    <\/div>\n\n    <div class=\"eco-tool__actions\">\n      <button type=\"button\" class=\"wp-element-button eco-tool__btn\" data-db=\"calc\">Calculate<\/button>\n      <button type=\"button\" class=\"wp-element-button eco-tool__btn eco-tool__btn--ghost\" data-db=\"reset\">Reset<\/button>\n      <div class=\"eco-tool__error\" data-db=\"error\" aria-live=\"polite\"><\/div>\n    <\/div>\n  <\/form>\n\n  <div class=\"eco-tool__result\" data-db=\"result\" hidden>\n    <h3 class=\"eco-tool__subtitle\">Result<\/h3>\n\n    <div class=\"eco-tool__cards\">\n      <div class=\"eco-tool__card\">\n        <div class=\"eco-tool__metric-label\">Output<\/div>\n        <div class=\"eco-tool__metric-value\" data-db=\"out\">\u2014<\/div>\n        <div class=\"eco-tool__metric-sub\" data-db=\"outSub\">\u2014<\/div>\n      <\/div>\n\n      <div class=\"eco-tool__card\">\n        <div class=\"eco-tool__metric-label\">Interpreting it<\/div>\n        <div class=\"eco-tool__metric-sub\" data-db=\"interp\">\u2014<\/div>\n        <div class=\"eco-tool__metric-sub eco-tool__muted\">Rules of thumb<\/div>\n      <\/div>\n    <\/div>\n\n    <div class=\"eco-tool__card eco-tool__card--wide\">\n      <div class=\"eco-tool__metric-label\">Equation used<\/div>\n      <div class=\"eco-tool__metric-sub\" data-db=\"eq\">\u2014<\/div>\n    <\/div>\n  <\/div>\n<\/div>\n\n<style>\n\/* --- overflow-safe, WordPress-safe --- *\/\n#eco-tool-db-fixed, #eco-tool-db-fixed *{box-sizing:border-box}\n#eco-tool-db-fixed{max-width:100%;overflow:hidden}\n\n\/* base look *\/\n#eco-tool-db-fixed.eco-tool{border:1px solid rgba(0,0,0,.12);border-radius:12px;padding:16px}\n\n\/* key fix: 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$(\"outSub\");\n  const interpEl = $(\"interp\");\n  const eqEl = $(\"eq\");\n\n  const p0 = 20e-6; \/\/ Pa\n\n  function setError(msg){ errEl.textContent = msg || \"\"; }\n  function fmt(n){\n    if(!Number.isFinite(n)) return \"\u2014\";\n    const a=Math.abs(n);\n    if(a===0) return \"0\";\n    if(a<0.001 || a>=1e9) return n.toExponential(3);\n    return n.toLocaleString(undefined,{maximumFractionDigits:6});\n  }\n\n  function setUI(){\n    setError(\"\");\n    resEl.hidden = true;\n\n    const mode = modeEl.value;\n\n    bEl.disabled = false;\n    bEl.style.opacity = \"1\";\n\n    if(mode === \"power_ratio_to_db\"){\n      labelA.textContent = \"Power ratio or P\u2082\";\n      hintA.textContent = \"Enter ratio (P\u2082\/P\u2081) OR enter P\u2082 and P\u2081 below.\";\n      labelB.textContent = \"P\u2081 (optional)\";\n      hintB.textContent = \"If provided, ratio = P\u2082\/P\u2081.\";\n      aEl.placeholder = \"e.g., 2 (ratio) or 50 (P\u2082)\";\n      bEl.placeholder = \"optional, e.g., 25 (P\u2081)\";\n    } else if(mode === \"amp_ratio_to_db\"){\n      labelA.textContent = \"Amplitude ratio or A\u2082\";\n      hintA.textContent = \"Enter ratio (A\u2082\/A\u2081) OR enter A\u2082 and A\u2081 below.\";\n      labelB.textContent = \"A\u2081 (optional)\";\n      hintB.textContent = \"If provided, ratio = A\u2082\/A\u2081.\";\n      aEl.placeholder = \"e.g., 2 (ratio) or 1.0 (A\u2082)\";\n      bEl.placeholder = \"optional, e.g., 0.5 (A\u2081)\";\n    } else if(mode === \"db_to_power_ratio\"){\n      labelA.textContent = \"Decibels (dB)\";\n      hintA.textContent = \"Enter dB value (power relationship).\";\n      labelB.textContent = \"Reference\";\n      hintB.textContent = \"Not used for this mode.\";\n      aEl.placeholder = \"e.g., 3\";\n      bEl.placeholder = \"\u2014\";\n      bEl.disabled = true; bEl.style.opacity = \".7\";\n      bEl.value = \"\";\n    } else if(mode === \"db_to_amp_ratio\"){\n      labelA.textContent = \"Decibels (dB)\";\n      hintA.textContent = \"Enter dB value (amplitude relationship).\";\n      labelB.textContent = \"Reference\";\n      hintB.textContent = \"Not used for this mode.\";\n      aEl.placeholder = \"e.g., 6\";\n      bEl.placeholder = \"\u2014\";\n      bEl.disabled = true; bEl.style.opacity = \".7\";\n      bEl.value = \"\";\n    } else {\n      labelA.textContent = \"Sound pressure (p)\";\n      hintA.textContent = \"Enter RMS pressure in Pascals (Pa).\";\n      labelB.textContent = \"Reference pressure p\u2080\";\n      hintB.textContent = \"Default p\u2080 = 20 \u00b5Pa (hearing threshold).\";\n      aEl.placeholder = \"e.g., 0.02\";\n      bEl.placeholder = \"optional, e.g., 2e-5\";\n    }\n  }\n\n  function applyPreset(){\n    const p = presetEl.value;\n    if(!p) return;\n\n    if(p === \"double_power\"){\n      modeEl.value = \"power_ratio_to_db\";\n      aEl.value = \"2\";\n      bEl.value = \"\";\n    } else if(p === \"double_amp\"){\n      modeEl.value = \"amp_ratio_to_db\";\n      aEl.value = \"2\";\n      bEl.value = \"\";\n    } else if(p === \"spl_whisper\"){\n      modeEl.value = \"spl_from_pressure\";\n      aEl.value = \"0.002\";\n      bEl.value = \"\";\n    }\n    setUI();\n  }\n\n  function calculate(){\n    setError(\"\");\n\n    const mode = modeEl.value;\n    const A = Number(aEl.value);\n    const B = Number(bEl.value);\n\n    if(!Number.isFinite(A)){\n      setError(\"Enter a valid input value.\");\n      resEl.hidden = true; return;\n    }\n\n    let out, outSub, eq, interp;\n\n    if(mode === \"power_ratio_to_db\"){\n      const ratio = Number.isFinite(B) ? (A \/ B) : A;\n      if(!(ratio > 0)){\n        setError(\"Power ratio must be greater than 0.\");\n        resEl.hidden = true; return;\n      }\n      out = 10 * Math.log10(ratio);\n      outSub = \"dB (power)\";\n      eq = `dB = 10\u00b7log\u2081\u2080(ratio), ratio = ${fmt(ratio)}`;\n      interp = \"\u2248 +3 dB means ~2\u00d7 power. +10 dB means 10\u00d7 power.\";\n    }\n    else if(mode === \"amp_ratio_to_db\"){\n      const ratio = Number.isFinite(B) ? (A \/ B) : A;\n      if(!(ratio > 0)){\n        setError(\"Amplitude ratio must be greater than 0.\");\n        resEl.hidden = true; return;\n      }\n      out = 20 * Math.log10(ratio);\n      outSub = \"dB (amplitude)\";\n      eq = `dB = 20\u00b7log\u2081\u2080(ratio), ratio = ${fmt(ratio)}`;\n      interp = \"\u2248 +6 dB means ~2\u00d7 amplitude. +20 dB means 10\u00d7 amplitude.\";\n    }\n    else if(mode === \"db_to_power_ratio\"){\n      out = Math.pow(10, A\/10);\n      outSub = \"Power ratio (P\u2082\/P\u2081)\";\n      eq = `ratio = 10^(dB\/10) = 10^(${fmt(A)}\/10)`;\n      interp = \"\u2248 +3 dB \u2192 ~2\u00d7 power, +10 dB \u2192 10\u00d7 power.\";\n    }\n    else if(mode === \"db_to_amp_ratio\"){\n      out = Math.pow(10, A\/20);\n      outSub = \"Amplitude ratio (A\u2082\/A\u2081)\";\n      eq = `ratio = 10^(dB\/20) = 10^(${fmt(A)}\/20)`;\n      interp = \"\u2248 +6 dB \u2192 ~2\u00d7 amplitude, +20 dB \u2192 10\u00d7 amplitude.\";\n    }\n    else { \/\/ spl_from_pressure\n      const pRef = Number.isFinite(B) ? B : p0;\n      if(!(A > 0) || !(pRef > 0)){\n        setError(\"Pressure and reference pressure must be greater than 0.\");\n        resEl.hidden = true; return;\n      }\n      out = 20 * Math.log10(A \/ pRef);\n      outSub = \"dB SPL\";\n      eq = `SPL = 20\u00b7log\u2081\u2080(p\/p\u2080) = 20\u00b7log\u2081\u2080(${fmt(A)}\/${fmt(pRef)})`;\n      interp = \"Every +20 dB is 10\u00d7 pressure amplitude (and 100\u00d7 intensity).\";\n    }\n\n    outEl.textContent = fmt(out);\n    outSubEl.textContent = outSub;\n    eqEl.textContent = eq;\n    interpEl.textContent = interp;\n\n    resEl.hidden = false;\n  }\n\n  function reset(){\n    modeEl.value = \"power_ratio_to_db\";\n    aEl.value = \"\";\n    bEl.value = \"\";\n    presetEl.value = \"\";\n    setUI();\n    setError(\"\");\n    resEl.hidden = true;\n  }\n\n  modeEl.addEventListener(\"change\", setUI);\n  presetEl.addEventListener(\"change\", applyPreset);\n  calcBtn.addEventListener(\"click\", calculate);\n  resetBtn.addEventListener(\"click\", reset);\n\n  setUI();\n})();\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Sound Level (dB) Calculator Convert ratios to decibels and estimate sound pressure level (SPL). Useful for audio and acoustics basics. Mode Power ratio \u2192 dB (10\u00b7log10)Amplitude ratio \u2192 dB (20\u00b7log10)dB&hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":2354,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","footnotes":""},"_links":{"self":[{"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages\/2477"}],"collection":[{"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/science-x.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2477"}],"version-history":[{"count":15,"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages\/2477\/revisions"}],"predecessor-version":[{"id":2498,"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages\/2477\/revisions\/2498"}],"up":[{"embeddable":true,"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages\/2354"}],"wp:attachment":[{"href":"https:\/\/science-x.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2477"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}