Current density, cannot be above or below zero. It's a measure of the amount of current flowing per unit area, and the current itself is the flow of charged particles. Here's why:
Current: Current is the flow of charged particles, typically electrons in conductors. This flow has a direction, but the quantity itself is inherently positive.
Area: Area is always a positive value.
Current Density (J): J = I / A (Current divided by Area). Since both current (I) and area (A) are positive quantities, their division (current density) will also be positive.
Non-Faraday current and active area connection:
The active area of the electrode is indeed calculated based on the non-Faraday current. Non-Faraday current refers to current flow that doesn't directly participate in the desired electrochemical reaction. It's often due to phenomena like charging the double-layer capacitance at the electrode surface or side reactions.
Here's how it relates to the active area:
We measure the total current flowing through the electrode.
We subtract the non-Faraday current from the total current to get the Faradaic current, which is the current directly involved in the desired reaction.
We relate the Faradaic current to the rate of the reaction at the electrode surface.
By knowing the relationship between current density and reaction rate, we can calculate the active area of the electrode. This active area represents the portion of the electrode where the desired reaction is actually happening.
Key takeaway:
While non-Faraday current helps determine the active area, current density itself remains a positive quantity because it reflects the magnitude of current flow per unit area.