Electric Resistance Converter
Print pageAll Equivalents Reference Table
| Unit | Equivalent Value |
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Electric Resistance (also known as Electrical Impedance, Conductive Drag, Ohmic Opposition, or Current Flow Restriction Rate, symbolized by R or Z) measures the quantitative opposition presented by a conductor, resistor, insulating medium, or electronic component to the passage of electric current (R = V ÷ I = 1 ÷ G = ρ · (L ÷ A), where V is voltage in volts, I is current in amperes, G is electrical conductance in Siemens, ρ is electrical resistivity in ohm-meters, L is conductor length, and A is cross-sectional area). Across power distribution transformer insulation megger testing, PCB copper trace via contact resistance, household appliance heating elements, semiconductor channel resistance, superconducting transition testing, and quantum Hall metrology standards, electric resistance is categorized across four major engineering unit families: International System of Units (SI metric fundamental: Ohm / Ω, Megohm / MΩ, Microhm / μΩ, Volt per Ampere / V/A, Reciprocal Siemens / 1/S), CGS Electrostatic System units (Statohm / stΩ, ESU of Resistance), CGS Electromagnetic System units (Abohm / abΩ, EMU of Resistance), and Fundamental Quantum Metrology Constants (Quantized Hall Resistance / RH = h/e2).
Our free online Electric Resistance Converter provides instant, high-precision conversions across all SI metric, industrial insulation, CGS electromagnetic, and quantum metrology resistance units:
- Volt per Ampere & Reciprocal Siemens to Ohm [SI Identity]:
1 V/A = 1 1/S = 1.0 Ohm (Ω)(100% mathematically identical derived SI units). - Megohm to Ohms [Insulation Standard]: Multiply MΩ by
1,000,000.0(1 Megohm = 1,000,000.0 Ω = 1.0 × 106 Ω ⇒ 1 Ω = 1.0 × 10-6 MΩ). - Microhm to Ohms [Switch & Via Standard]: Multiply μΩ by
0.000001(1 Microhm = 1.0 × 10-6 Ω = 1,000.0 abΩ ⇒ 1 Ω = 1,000,000.0 μΩ). - Statohm (stΩ / ESU) to Ohms [CGS Electrostatic Standard]: Multiply stΩ by
898,755,178,736.8(1 statohm = 1 ESU of resistance = 8.98755 × 1011 Ω = 898.755 Gigohms GΩ ⇒ 1 Ω = 1.11265 × 10-12 stΩ). - Abohm (abΩ / EMU) to Ohms [CGS Electromagnetic Standard]: Multiply abΩ by
1.0 × 10-9(1 abohm = 1 EMU of resistance = 1.0 × 10-9 Ω = 1.0 Nanohm nΩ ⇒ 1 Ω = 1,000,000,000.0 abΩ). - Quantized Hall Resistance (RH = h/e2) to Ohms [Quantum Metrology Standard]: Multiply RH by
25,812.807455(1 Quantized Hall resistance unit = h/e2 = 25,812.807455 Ω = 25.8128 kΩ).
Master Electric Resistance Conversion Table
The table below displays exact mathematical conversion relationships, SI Ohm (Ω) multipliers, and Megohm (MΩ) equivalents relative to 1 Ohm (1 Ω = 1.0 V/A = 1.0 1/S = 10-6 MΩ = 1,000,000 μΩ):
| Electric Resistance Unit Name | Symbol | Exact Value in Ohms (Ω) | MΩ, μΩ & Abohm (abΩ) Equivalent | Domain & Technical Application Standard |
|---|---|---|---|---|
| 1 Ohm (Base SI Unit) | Ω, V/A |
1.0 Ω (Base SI Unit) |
1.0 × 10-6 MΩ (1,000,000.0 μΩ / 1.0 × 109 abΩ / 3.87372 × 10-5 RH) |
SI Fundamental Derived Unit of Electrical Resistance & Impedance |
| 1 Volt per Ampere | V/A |
1.0 Ω (Identical to Ohm) |
1.0 × 10-6 MΩ (1.0 Ω / 1,000,000.0 μΩ / 1.0 × 109 abΩ) |
Direct Voltage to Current Ratio Expression |
| 1 Reciprocal Siemens | 1/S, S-1 |
1.0 Ω (Identical to Ohm) |
1.0 × 10-6 MΩ (1.0 Ω / 1,000,000.0 μΩ / 1.0 × 109 abΩ) |
Inverse Conductance Measurement Metric |
| 1 Megohm | MΩ |
1,000,000.0 Ω (106 Ω) |
1.0 MΩ (1.0 × 1012 μΩ / 1.0 × 1015 abΩ / 38.7372 RH) |
Insulation Resistance Megger Testing & CMOS Op-Amps |
| 1 Microhm | μΩ |
1.0 × 10-6 Ω (10-6 Ω) |
1.0 × 10-12 MΩ (1,000.0 abΩ / 1.0 × 10-6 Ω) | PCB Vias, Switch Contacts & Superconductor Busbars |
| 1 Quantized Hall Resistance (RH) | RH, h/e2 |
25,812.807455 Ω |
0.0258128 MΩ (25.8128 kΩ / 2.58128 × 1013 abΩ) | Primary Quantum Hall Effect International Metrology Standard |
| 1 Abohm (EMU of Resistance) | abΩ, EMU |
1.0 × 10-9 Ω (1.0 nΩ) |
0.001 μΩ (1.0 × 10-15 MΩ / 1.0 abΩ) | CGS Electromagnetic Unit System Resistance Standard |
| 1 Statohm (ESU of Resistance) | stΩ, ESU |
8.98755179 × 1011 Ω |
898,755.18 MΩ (898.755 GΩ / 8.98755 × 1020 abΩ) | CGS Electrostatic Unit System Resistance Standard |
Step-by-Step Household Toaster & Transformer Megger Resistance Calculation Example
To calculate the electric resistance (R) of a 1,500-Watt kitchen toaster appliance operating on a 120-Volt AC circuit (P = 1,500 W, V = 120 V), and calculate the insulation resistance of a high-voltage transformer megger test reading of 500 Megohms (R = 500 MΩ = 5.0 × 108 Ω) into Ohms (Ω), Microhms (μΩ), Abohms (abΩ), and Quantized Hall Units (RH):
Step 1 (Toaster Resistance Calculation): R = V2 ÷ P = (120 V)2 ÷ 1,500 W = 14,400 ÷ 1,500 = 9.60 Ohms (9.60 Ω)
Step 2 (Toaster Unit Conversions): R = 9.60 Ω = 9,600,000 μΩ = 9.60 × 109 Abohms (9.60 × 109 abΩ)
Step 3 (Transformer Insulation Ohms Calculation): R = 500 MΩ × 1,000,000 = 500,000,000 Ohms (500 MΩ = 5.0 × 108 Ω)
Step 4 (Transformer Quantized Hall Conversion): RH_units = 5.0 × 108 Ω ÷ 25,812.807455 = 19,369.84 Quantized Hall Units (19,369.84 RH)
Thus, the 1,500W toaster element carries a resistance of 9.60 Ω (9,600,000 μΩ), while the transformer insulation measures a massive 500 MΩ (19,369.84 RH).
Real-World Electronic & Material Resistance Benchmarks
Below is a comparative reference chart showing electric resistance values (R) across microchip vias, wires, human skin, appliances, insulation, and quantum standards:
| Electrical Component / Resistance Benchmark | Electric Resistance in Ohms (Ω) | MΩ, μΩ & Abohm Equivalent | Electrical Engineering & Physics Context |
|---|---|---|---|
| PCB Copper Via & Heavy Relay Contact Resistance | 1.0 × 10-5 – 1.0 × 10-4 Ω | 10.0 – 100.0 μΩ (10,000 – 100,000 abΩ) | Ultra-low contact resistance in heavy current switches |
| 1,000 Feet of 12 AWG Copper Building Wire | 1.588 Ω | 1,588,000.0 μΩ (1.588 × 109 abΩ) | Standard American Wire Gauge copper wire loop resistance |
| 1,500-Watt Household Kitchen Toaster (120V) | 9.60 Ω | 9.60 V/A (9,600,000.0 μΩ / 9.60 × 109 abΩ) | NiChrome heating element AC resistive load |
| Dry Human Body Hand-to-Hand Resistance | 1,000.0 – 100,000.0 Ω (1 – 100 kΩ) | 0.001 – 0.10 MΩ (0.0387 – 3.8737 RH) | Dry skin human body shock safety impedance baseline |
| Quantized Hall Resistance Standard (RH = h/e2) | 25,812.807455 Ω (25.8128 kΩ) | 0.0258128 MΩ (1.0 RH / 2.58128 × 1013 abΩ) | Fundamental von Klitzing constant for quantum metrology |
| High-Voltage Transformer Cable Megger Insulation Test | > 500,000,000.0 Ω (500 MΩ) | 500.0 MΩ (5.0 × 1017 abΩ / 19,369.8 RH) | Pass threshold for high-voltage insulation megohmmeter test |
History & Physics: 1827 Georg Simon Ohm vs 1980 Quantum Hall Effect (RH = h ÷ e2)
1827 Georg Simon Ohm & The Discovery of Ohm’s Law (R = V ÷ I)
In 1827, German physicist Georg Simon Ohm published his foundational book Die galvanische Kette, mathematisch bearbeitet, establishing that current passing through a conductor between two points is directly proportional to voltage and inversely proportional to resistance: R = V ÷ I. In 1881, the International Electrical Congress officially named the SI unit of resistance the Ohm (Ω) in his honor.
1980 Klaus von Klitzing & Quantum Hall Resistance Standard (RK = h ÷ e2)
In 1980, German physicist Klaus von Klitzing discovered that at liquid helium cryogenic temperatures, electrons in a 2D semiconductor heterostructure subjected to strong magnetic fields exhibit quantized Hall resistance levels equal to exact integer fractions of RK = h ÷ e2 = 25,812.807455 Ω. Awarded the 1985 Nobel Prize in Physics, von Klitzing’s discovery established the primary international quantum standard for defining resistance, completely independent of material impurities.
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Frequently Asked Questions (FAQ)
How do you convert Ohms (Ω) to Megohms (MΩ)?
To convert Ohms to Megohms, divide Ω by 1,000,000 (106). For example, 5,000,000 Ω ÷ 1,000,000 = 5.0 Megohms (5.0 MΩ).
How do you convert Megohms (MΩ) to Ohms (Ω)?
To convert Megohms to Ohms, multiply MΩ by 1,000,000. For example, 2.5 MΩ × 1,000,000 = 2,500,000.0 Ω.
What is 1 Statohm (stΩ) equal to in Ohms?
1 Statohm (stΩ), also known as 1 ESU of resistance in the CGS electrostatic system, equals approximately 898,755,178,737 Ohms (898.755 Gigohms GΩ).
What is Quantized Hall Resistance (RH)?
Quantized Hall Resistance is a fundamental quantum physics constant equal to Planck’s constant divided by elementary charge squared: RH = h ÷ e2 = 25,812.807455 Ω (approx. 25.813 kΩ).