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Algebra |
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Exponents and Radicals |
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| Solution of a Quadratic | |
| Quadratic equations in the form | |
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Decibels |
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The number of dB by which two power outputs P1 and P2 (in Watts) may differ, is expressed by |
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or in terms of volts, |
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or in current, |
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while power ratios are independent of source and load impedance values, voltage and current ratios in these formulas hold true only when Z1 and Z2 are equal. In circuits where these impedances differ, voltage and current ratios are expressed by, |
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or, |
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dB Expressed in Watts & Volts
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dB* |
Above Zero Level |
Below Zero Level |
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Watts |
Volts |
Watts |
Volts |
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0 |
0.0010 |
0.775 |
0.001000 |
0.7746 |
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1 |
0.0013 |
0.869 |
0.000794 |
0.6904 |
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2 |
0.0016 |
0.975 |
0.000631 |
0.6153 |
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3 |
0.0020 |
1.094 |
0.000501 |
0.5483 |
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4 |
0.0025 |
1.227 |
0.000398 |
0.4888 |
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5 |
0.0032 |
1.377 |
0.000316 |
0.4356 |
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6 |
0.0040 |
1.545 |
0.000251 |
0.3883 |
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7 |
0.0050 |
1.734 |
0.000200 |
0.3460 |
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8 |
0.0063 |
1.946 |
0.000159 |
0.3084 |
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9 |
0.0079 |
2.183 |
0.000126 |
0.2748 |
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10 |
0.0100 |
2.449 |
0.000100 |
0.2449 |
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11 |
0.0126 |
2.748 |
0.0000794 |
0.2183 |
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12 |
0.0159 |
3.084 |
0.0000631 |
0.1946 |
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13 |
0.0200 |
3.460 |
0.0000501 |
0.1734 |
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14 |
0.0251 |
3.882 |
0.0000398 |
0.1545 |
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15 |
0.0316 |
4.356 |
0.0000316 |
0.1377 |
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16 |
0.0398 |
4.888 |
0.0000251 |
0.1228 |
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17 |
0.0501 |
5.483 |
0.0000200 |
0.1095 |
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18 |
0.0631 |
6.153 |
0.0000159 |
0.0975 |
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19 |
0.0794 |
6.904 |
0.0000126 |
0.0869 |
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20 |
0.1 |
7.746 |
1 x 10 e-5 |
7.75 x 10 e -2 |
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30 |
1.0 |
24.493 |
1 x 10 e-6 |
2.45 x 10 e-2 |
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40 |
10.0 |
77.460 |
1 x 10 e-7 |
7.75 x 10 e-3 |
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50 |
1 x 10 e +2 |
244.93 |
1 x 10 e-8 |
2.45 x 10 e-3 |
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60 |
1 x 10 e+3 |
774.60 |
1 x 10 e-9 |
7.75 x 10 e-4 |
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70 |
1 x 10 e+4 |
2,449.0 |
1 x 10 e-10 |
2.45 x 10 e-4 |
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80 |
1 x 10 e+5 |
7,746.0 |
1 x 10 e-11 |
7.75 x 10 e-5 |
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90 |
1 x 10 e+6 |
24,493.0 |
1 x 10 e-12 |
2.45 x 10 e-5 |
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100 |
1 x 10 e +7 |
77,460.0 |
1 x 10 e-13 |
7.75 x 1- e-6 |