The formula to calculate Equivalent Resistance in Parallel (Req, parallel) is:
\[ R_{eq, parallel} = \left( \frac{1}{R} + \frac{1}{\Omega} \right)^{-1} \]
Where:
Equivalent Resistance in Parallel is the total resistance of multiple resistors connected in parallel in an electric circuit.
Electric resistance is the opposition to the flow of an electric current and is measured in ohms, representing how much a material hinders electric current flow.
Final Resistance is the opposition to the flow of electric current in a circuit, measured in ohms, and depends on the material and its dimensions.
Let's assume the following values:
Using the formula:
\[ R_{eq, parallel} = \left( \frac{1}{R} + \frac{1}{\Omega} \right)^{-1} \]
Evaluating:
\[ R_{eq, parallel} = \left( \frac{1}{15} + \frac{1}{50} \right)^{-1} \]
The Equivalent Resistance in Parallel is 11.5384615384615 Ω.
| Electric Resistance (R) | Final Resistance (Ω) | Equivalent Resistance (Req, parallel) |
|---|---|---|
| 10 | 40 | 8.000000000000000 |
| 10 | 42 | 8.076923076923077 |
| 10 | 44 | 8.148148148148147 |
| 10 | 46 | 8.214285714285714 |
| 10 | 48 | 8.275862068965518 |
| 10 | 50 | 8.333333333333332 |
| 10 | 52 | 8.387096774193548 |
| 10 | 54 | 8.437500000000000 |
| 10 | 56 | 8.484848484848484 |
| 10 | 58 | 8.529411764705882 |
| 10 | 60 | 8.571428571428571 |
| 11 | 40 | 8.627450980392156 |
| 11 | 42 | 8.716981132075471 |
| 11 | 44 | 8.799999999999999 |
| 11 | 46 | 8.877192982456140 |
| 11 | 48 | 8.949152542372882 |
| 11 | 50 | 9.016393442622951 |
| 11 | 52 | 9.079365079365079 |
| 11 | 54 | 9.138461538461538 |
| 11 | 56 | 9.194029850746269 |
| 11 | 58 | 9.246376811594201 |
| 11 | 60 | 9.295774647887324 |
| 12 | 40 | 9.230769230769230 |
| 12 | 42 | 9.333333333333334 |
| 12 | 44 | 9.428571428571429 |
| 12 | 46 | 9.517241379310345 |
| 12 | 48 | 9.600000000000001 |
| 12 | 50 | 9.677419354838710 |
| 12 | 52 | 9.750000000000000 |
| 12 | 54 | 9.818181818181818 |
| 12 | 56 | 9.882352941176471 |
| 12 | 58 | 9.942857142857145 |
| 12 | 60 | 10.000000000000000 |
| 13 | 40 | 9.811320754716981 |
| 13 | 42 | 9.927272727272728 |
| 13 | 44 | 10.035087719298245 |
| 13 | 46 | 10.135593220338983 |
| 13 | 48 | 10.229508196721312 |
| 13 | 50 | 10.317460317460316 |
| 13 | 52 | 10.399999999999999 |
| 13 | 54 | 10.477611940298507 |
| 13 | 56 | 10.550724637681160 |
| 13 | 58 | 10.619718309859154 |
| 13 | 60 | 10.684931506849315 |
| 14 | 40 | 10.370370370370372 |
| 14 | 42 | 10.500000000000000 |
| 14 | 44 | 10.620689655172413 |
| 14 | 46 | 10.733333333333334 |
| 14 | 48 | 10.838709677419356 |
| 14 | 50 | 10.937500000000000 |
| 14 | 52 | 11.030303030303031 |
| 14 | 54 | 11.117647058823531 |
| 14 | 56 | 11.200000000000001 |
| 14 | 58 | 11.277777777777777 |
| 14 | 60 | 11.351351351351353 |
| 15 | 40 | 10.909090909090908 |
| 15 | 42 | 11.052631578947368 |
| 15 | 44 | 11.186440677966102 |
| 15 | 46 | 11.311475409836065 |
| 15 | 48 | 11.428571428571429 |
| 15 | 50 | 11.538461538461538 |
| 15 | 52 | 11.641791044776120 |
| 15 | 54 | 11.739130434782609 |
| 15 | 56 | 11.830985915492956 |
| 15 | 58 | 11.917808219178083 |
| 15 | 60 | 12.000000000000000 |
| 16 | 40 | 11.428571428571429 |
| 16 | 42 | 11.586206896551724 |
| 16 | 44 | 11.733333333333333 |
| 16 | 46 | 11.870967741935484 |
| 16 | 48 | 12.000000000000000 |
| 16 | 50 | 12.121212121212121 |
| 16 | 52 | 12.235294117647058 |
| 16 | 54 | 12.342857142857143 |
| 16 | 56 | 12.444444444444446 |
| 16 | 58 | 12.540540540540540 |
| 16 | 60 | 12.631578947368421 |
| 17 | 40 | 11.929824561403509 |
| 17 | 42 | 12.101694915254237 |
| 17 | 44 | 12.262295081967213 |
| 17 | 46 | 12.412698412698413 |
| 17 | 48 | 12.553846153846155 |
| 17 | 50 | 12.686567164179104 |
| 17 | 52 | 12.811594202898551 |
| 17 | 54 | 12.929577464788732 |
| 17 | 56 | 13.041095890410958 |
| 17 | 58 | 13.146666666666668 |
| 17 | 60 | 13.246753246753247 |
| 18 | 40 | 12.413793103448278 |
| 18 | 42 | 12.600000000000001 |
| 18 | 44 | 12.774193548387096 |
| 18 | 46 | 12.937500000000000 |
| 18 | 48 | 13.090909090909092 |
| 18 | 50 | 13.235294117647058 |
| 18 | 52 | 13.371428571428572 |
| 18 | 54 | 13.500000000000000 |
| 18 | 56 | 13.621621621621623 |
| 18 | 58 | 13.736842105263158 |
| 18 | 60 | 13.846153846153847 |
| 19 | 40 | 12.881355932203391 |
| 19 | 42 | 13.081967213114755 |
| 19 | 44 | 13.269841269841269 |
| 19 | 46 | 13.446153846153846 |
| 19 | 48 | 13.611940298507465 |
| 19 | 50 | 13.768115942028984 |
| 19 | 52 | 13.915492957746480 |
| 19 | 54 | 14.054794520547945 |
| 19 | 56 | 14.186666666666669 |
| 19 | 58 | 14.311688311688311 |
| 19 | 60 | 14.430379746835444 |
| 20 | 40 | 13.333333333333332 |
| 20 | 42 | 13.548387096774194 |
| 20 | 44 | 13.750000000000000 |
| 20 | 46 | 13.939393939393939 |
| 20 | 48 | 14.117647058823529 |
| 20 | 50 | 14.285714285714285 |
| 20 | 52 | 14.444444444444443 |
| 20 | 54 | 14.594594594594595 |
| 20 | 56 | 14.736842105263156 |
| 20 | 58 | 14.871794871794872 |
| 20 | 60 | 15.000000000000000 |