Question

Convert a surface charge density of 24 µC/cm² to C/m²

Answer 1

To convert 24 µC/cm² to C/m², one multiplies by 10^-6 to change microcoulombs to coulombs and divides by 10^4 to change square centimeters to square meters, resulting in 2.4 × 10^-3 C/m².

Step-by-step explanation:

To convert a surface charge density from microcoulombs per square centimeter (µC/cm²) to coulombs per square meter (C/m²), you need to understand the unit conversions involved. One microcoulomb (µC) is equivalent to 10-6 coulombs (C), and there are 10,000 square centimeters in one square meter (due to 100 cm per meter and the area being the square of this number).

First, convert microcoulombs to coulombs:

• 24 µC/cm² = 24 × 10-6 C/cm² = 24 × 10-6 C/10,000 cm²

Then convert square centimeters to square meters:

• 24 × 10-6 C/10,000 cm² = (24 × 10-6) × (1/10,000) C/m²

Finally, simplify to find the answer:

• 24 × 10-6 × 10-4 C/m² = 2.4 × 10-3 C/m².

So, a surface charge density of 24 µC/cm² is equivalent to 2.4 × 10-3 C/m².