Question

an electrolyte solution has an average current density of 1 ampere per square decimeter (\\(\frac{a}{dm^{2}}\\)). what is the current density of the solution in \\(\frac{a}{m^{2}}\\)?

Explanation:

Step1: Recall the conversion factor

1 dm = 0.1 m, so 1 dm²=(0.1 m)² = 0.01 m².

Step2: Convert the current - density unit

Given current density is 1 A/dm². Let \(J\) be the current density. We want to convert from A/dm² to A/m². Using the conversion of area units, if \(J = 1\frac{A}{dm^{2}}\), and 1 dm² = 0.01 m², then \(J=\frac{1A}{0.01m^{2}}=100\frac{A}{m^{2}}\).

Answer:

100 A/m²