How Can One Make a 1.1 Ω Resistor Using a Combination of Other Resistors?

Answer

Below you can find a series of resistor combinations to replace a 1.1 Ω resistor.

Parallel Combinations:

For two resistors in parallel, the total resistance is calculated as:

\(R_{total} = \frac{1}{\frac{1}{R_1} + \frac{1}{R_2}}\)

For example, with 2.2 Ω + 2.2 Ω in parallel = 1.1 Ω (exact)

\(R_{total} = \frac{1}{\frac{1}{2.2} + \frac{1}{2.2}} \approx 1.1 Ω\)

• 2.2 Ω + 2.2 Ω in parallel = 1.1 Ω (exact)
• 1.2 Ω + 12 Ω in parallel = 1.09 Ω (error: 0.83%)
• 1.2 Ω + 15 Ω in parallel = 1.11 Ω (error: 1.01%)
• 1.5 Ω + 3.9 Ω in parallel = 1.08 Ω (error: 1.52%)
• 1.8 Ω + 2.7 Ω in parallel = 1.08 Ω (error: 1.82%)
• 1.2 Ω + 18 Ω in parallel = 1.13 Ω (error: 2.27%)
• 1.2 Ω + 10 Ω in parallel = 1.07 Ω (error: 2.6%)
• 1.5 Ω + 4.7 Ω in parallel = 1.14 Ω (error: 3.37%)
• 1.2 Ω + 22 Ω in parallel = 1.14 Ω (error: 3.45%)
• 1.2 Ω + 27 Ω in parallel = 1.15 Ω (error: 4.45%)
• 1.2 Ω + 8.2 Ω in parallel = 1.05 Ω (error: 4.84%)
• 1.2 Ω + 33 Ω in parallel = 1.16 Ω (error: 5.26%)
• 1.2 Ω + 39 Ω in parallel = 1.16 Ω (error: 5.83%)
• 1.8 Ω + 3.3 Ω in parallel = 1.16 Ω (error: 5.88%)
• 1.5 Ω + 3.3 Ω in parallel = 1.03 Ω (error: 6.25%)
• 1.2 Ω + 47 Ω in parallel = 1.17 Ω (error: 6.37%)
• 1.2 Ω + 56 Ω in parallel = 1.17 Ω (error: 6.8%)
• 1.2 Ω + 68 Ω in parallel = 1.18 Ω (error: 7.2%)
• 1.2 Ω + 6.8 Ω in parallel = 1.02 Ω (error: 7.27%)
• 1.2 Ω + 82 Ω in parallel = 1.18 Ω (error: 7.52%)
• 1.5 Ω + 5.6 Ω in parallel = 1.18 Ω (error: 7.55%)
• 1.2 Ω + 100 Ω in parallel = 1.19 Ω (error: 7.8%)
• 1.2 Ω + 120 Ω in parallel = 1.19 Ω (error: 8.01%)
• 1 Ω + 100 Ω in parallel = 0.99 Ω (error: 9.99%)
• 1.8 Ω + 2.2 Ω in parallel = 0.99 Ω (error: 10%)
• 1.2 Ω + 5.6 Ω in parallel = 0.99 Ω (error: 10.16%)
• 1 Ω + 82 Ω in parallel = 0.99 Ω (error: 10.19%)
• 2.2 Ω + 2.7 Ω in parallel = 1.21 Ω (error: 10.2%)
• 1 Ω + 68 Ω in parallel = 0.99 Ω (error: 10.41%)
• 1 Ω + 56 Ω in parallel = 0.98 Ω (error: 10.69%)
• 1 Ω + 47 Ω in parallel = 0.98 Ω (error: 10.98%)
• 1 Ω + 39 Ω in parallel = 0.98 Ω (error: 11.36%)
• 1.5 Ω + 6.8 Ω in parallel = 1.23 Ω (error: 11.72%)
• 1 Ω + 33 Ω in parallel = 0.97 Ω (error: 11.76%)
• 1.8 Ω + 3.9 Ω in parallel = 1.23 Ω (error: 11.96%)
• 1 Ω + 27 Ω in parallel = 0.96 Ω (error: 12.34%)
• 1.5 Ω + 2.7 Ω in parallel = 0.96 Ω (error: 12.34%)
• 1 Ω + 22 Ω in parallel = 0.96 Ω (error: 13.04%)
• 1.2 Ω + 4.7 Ω in parallel = 0.96 Ω (error: 13.1%)
• 1 Ω + 18 Ω in parallel = 0.95 Ω (error: 13.88%)
• 1 Ω + 15 Ω in parallel = 0.94 Ω (error: 14.77%)

Mixed Combinations:

For a mixed combination, first calculate the series resistance:

\(R_{series} = R_1 + R_2\)

Then, place this combination in parallel with the third resistor:

\(R_{total} = \frac{1}{\frac{1}{R_{series}} + \frac{1}{R_3}}\)

For example, with 1 Ω + 1.2 Ω in series with 2.2 Ω in parallel = 1.1 Ω (exact)

\(R_{series} = 1 Ω + 1.2 Ω \approx 2.2 Ω\)

\(R_{total} = \frac{1}{\frac{1}{2.2} + \frac{1}{2.2}} \approx 1.1 Ω\)

• 1 Ω + 1.2 Ω in series with 2.2 Ω in parallel = 1.1 Ω (exact)
• 1.2 Ω + 12 Ω in series with 1.2 Ω in parallel = 1.1 Ω (exact)
• 3.3 Ω + 10 Ω in series with 1.2 Ω in parallel = 1.1 Ω (error: 0.06%)
• 1 Ω + 12 Ω in series with 1.2 Ω in parallel = 1.1 Ω (error: 0.13%)
• 1.5 Ω + 12 Ω in series with 1.2 Ω in parallel = 1.1 Ω (error: 0.19%)
• 4.7 Ω + 8.2 Ω in series with 1.2 Ω in parallel = 1.1 Ω (error: 0.19%)
• 6.8 Ω + 6.8 Ω in series with 1.2 Ω in parallel = 1.1 Ω (error: 0.25%)
• 2.7 Ω + 10 Ω in series with 1.2 Ω in parallel = 1.1 Ω (error: 0.33%)
• 1.8 Ω + 12 Ω in series with 1.2 Ω in parallel = 1.1 Ω (error: 0.36%)
• 5.6 Ω + 8.2 Ω in series with 1.2 Ω in parallel = 1.1 Ω (error: 0.36%)
• 1 Ω + 1.8 Ω in series with 1.8 Ω in parallel = 1.1 Ω (error: 0.4%)
• 3.9 Ω + 10 Ω in series with 1.2 Ω in parallel = 1.1 Ω (error: 0.42%)
• 1.5 Ω + 2.7 Ω in series with 1.5 Ω in parallel = 1.11 Ω (error: 0.48%)
• 5.6 Ω + 6.8 Ω in series with 1.2 Ω in parallel = 1.09 Ω (error: 0.53%)
• 2.2 Ω + 12 Ω in series with 1.2 Ω in parallel = 1.11 Ω (error: 0.59%)
• 2.2 Ω + 10 Ω in series with 1.2 Ω in parallel = 1.09 Ω (error: 0.68%)
• 3.9 Ω + 8.2 Ω in series with 1.2 Ω in parallel = 1.09 Ω (error: 0.75%)
• 1.8 Ω + 2.2 Ω in series with 1.5 Ω in parallel = 1.09 Ω (error: 0.83%)
• 2.7 Ω + 12 Ω in series with 1.2 Ω in parallel = 1.11 Ω (error: 0.86%)
• 4.7 Ω + 10 Ω in series with 1.2 Ω in parallel = 1.11 Ω (error: 0.86%)
• 1.8 Ω + 10 Ω in series with 1.2 Ω in parallel = 1.09 Ω (error: 0.98%)