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Example
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"title": "Convert 1VRMS to dBV",
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"To convert 1Vrms to dBV, you can use the following formula:\n\n\\[\n\\text{dBV} = 20 \\log_{10}\\left(\\frac{{V_{\\text{rms}}}}{{1 \\, \\text{V}}}\\right)\n\\]\n\nwhere:\n- dBV is the decibel value referenced to 1V,\n- \\(V_{\\text{rms}}\\) is the root mean square voltage.\n\nSubstituting \\(V_{\\text{rms}} = 1 \\, \\text{V}\\) into the formula, we get:\n\n\\[\n\\text{dBV} = 20 \\log_{10}\\left(\\frac{{1 \\, \\text{V}}}{{1 \\, \\text{V}}}\\right) = 20 \\log_{10}(1) = 20 \\times 0 = 0 \\, \\text{dBV}\n\\]\n\nTherefore, 1Vrms is equivalent to 0 dBV."
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