Carat to Microgram Converter
Weight · unit-converter
Convert Carat to Microgram with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations use gram-based factors (international avoirdupois pound and metric definitions). The full Weight Converter also includes carat, grain, and US/UK hundredweight.
Calculator
From: Carat (ct)
To: Microgram (ug)
About Carat
The metric carat is exactly 0.2 grams (200 mg), commonly used for gemstones and jewelry.
About Microgram
The microgram is one millionth of a gram. It appears in pharmacology and trace analysis.
How to convert carats to micrograms
1 carat is equal to 200000.0000000000291 microgram:
1 ct = (0.2 g ÷ 0.000001 g) ug = 200000.0000000000291 ug
Each carat is defined as 0.2 g and each microgram as 0.000001 g, so one ct equals 0.2 ÷ 0.000001 ug = 200000.0000000000291 ug.
Let w(ct) be the numeric value of the same mass measured in Carat (ct), and w(ug) the value in Microgram (ug). Then:
w(ug) = w(ct) × (0.2 / 0.000001)
Equivalently, divide by how many ct fit into one ug (grams per ug divided by grams per ct):
w(ug) = w(ct) ÷ 0.000005
Or: microgram = carat ÷ 0.000005
Examples
Example #1: Convert 20 ct to microgram
20 ct = 20 ct × (0.2/0.000001) ug = 4000000 ug
20 ct = 20 ct ÷ 0.000005 = 4000000 ug
Example #2: Convert 50 ct to microgram
50 ct = 50 ct × (0.2/0.000001) ug = 10000000 ug
50 ct = 50 ct ÷ 0.000005 = 10000000 ug
Summary
To convert Carat to Microgram, multiply the value in ct by the ratio of grams per ct divided by grams per ug. Equivalently: value_ug = value_ct × (0.2 / 0.000001). Numerically, 1 ct equals 200000.00000000003 ug.
Relationship context
Both units are metric (SI) and tied to the gram via the kilogram. Conversions use exact ratios from their gram definitions. The factor from Carat to Microgram is 2.000000e+5 (1 ct = 200000.00000000003 ug).
Conversion tables
| Carat (ct) | Microgram (ug) |
|---|---|
| 0.1 | 20,000 |
| 1 | 200,000 |
| 2 | 400,000 |
| 3 | 600,000 |
| 4 | 800,000 |
| 5 | 1,000,000 |
| 6 | 1,200,000 |
| 7 | 1,400,000 |
| 8 | 1,600,000 |
| 9 | 1,800,000 |
| Carat (ct) | Microgram (ug) |
|---|---|
| 10 | 2,000,000 |
| 20 | 4,000,000 |
| 30 | 6,000,000 |
| 40 | 8,000,000 |
| 50 | 10,000,000 |
| 60 | 12,000,000 |
| 70 | 14,000,000 |
| 80 | 16,000,000 |
| 90 | 18,000,000 |
| 100 | 20,000,000 |