How to Calculate the Internal Resistance of a Battery

A battery’s internal resistance is a fundamental property that significantly influences its operational performance. Understanding this property is important for evaluating how effectively a battery delivers power and energy.

Understanding Battery Internal Resistance

Internal resistance describes the opposition to current flow within the battery. This opposition arises from the battery’s physical construction and chemical components, including electrodes and electrolyte. As current flows, electrical energy converts into heat, leading to energy losses and a reduction in the battery’s output voltage under load. Both electronic and ionic factors contribute to this internal impedance.

Why Measuring Internal Resistance Matters

Measuring internal resistance provides insights into a battery’s performance and health. Higher internal resistance diminishes power output and reduces efficiency, leading to energy loss as heat. This increased resistance often leads to shorter runtimes and accelerates battery degradation. Internal resistance acts as an indicator of aging, helping to assess battery health and predict its end-of-life, especially in high-current applications.

The Voltage Drop Method for Calculation

A common method for determining internal resistance is the voltage drop technique. This involves measuring the battery’s open-circuit voltage (without load) and then its voltage while supplying current to a known load. The difference between these two readings, combined with the load current, allows for calculation. The formula is: R_internal = (V_open_circuit – V_loaded) / I_load, where R_internal is internal resistance, V_open_circuit is no-load voltage, V_loaded is voltage under load, and I_load is the current.

To perform this, you will need a multimeter and a suitable load resistor. First, measure the battery’s open-circuit voltage across its terminals. Next, connect a known load resistor and simultaneously measure the voltage across the terminals and the current flowing through the load. Complete this loaded measurement quickly to prevent significant discharge or load heating, which could affect accuracy. Ensure proper connections and avoid short circuits for safety.

Factors Affecting Internal Resistance

A battery’s internal resistance is not a fixed value and is influenced by several factors.

Chemical Composition

Different battery chemistries, such as lithium-ion, nickel-metal hydride, or lead-acid, exhibit varying internal resistance characteristics.

State of Charge

Internal resistance typically increases as a battery discharges, especially at very low states of charge. For example, lead-acid batteries show an increase in resistance as they discharge, while lithium-ion batteries tend to maintain a flatter resistance profile across most of their charge range.

Temperature

Lower temperatures generally cause an increase in resistance due to slower chemical reactions and reduced ion mobility. Conversely, higher temperatures can initially decrease resistance, but prolonged exposure to excessive heat can accelerate degradation and lead to a permanent increase over time.

Age and Cycle Life

A battery’s age and the number of charge/discharge cycles it has undergone contribute to rising internal resistance. As batteries age, degradation mechanisms like electrode changes or electrolyte depletion can impede current flow, leading to higher resistance.

Applying Your Findings

Once calculated, the internal resistance value offers practical insights into a battery’s condition. A consistently low internal resistance indicates a healthy battery capable of delivering substantial current without significant voltage drops. Conversely, a noticeable increase in this value can signal battery degradation, aging, or potential issues. This information is valuable for assessing the remaining lifespan of a battery and identifying units that may be failing.

The calculated internal resistance can also guide decisions in various applications. For instance, in battery packs, matching cells with similar internal resistance can help ensure balanced performance and prolong the overall pack’s life. It aids in troubleshooting devices where battery-related issues are suspected, providing a diagnostic tool beyond simple voltage checks. Understanding and tracking internal resistance helps users make informed choices about battery maintenance, replacement, and system design.