SUMMARY
The internal resistance graph of a battery exhibits a negative gradient due to the relationship defined by the equation E = I(R + r), where R represents the total resistance and r denotes the internal resistance. This leads to the equation V = E - Ir, indicating that the voltage decreases as current increases, resulting in a negative slope when plotted. The key takeaway is that the gradient of the voltage/current graph is equal to -r, confirming that internal resistance affects the overall circuit behavior.
PREREQUISITES
- Understanding of Ohm's Law and its application in electrical circuits.
- Familiarity with the concepts of voltage, current, and resistance.
- Knowledge of graphing linear equations, particularly the slope-intercept form.
- Basic principles of internal resistance in batteries and cells.
NEXT STEPS
- Study the implications of internal resistance on battery performance and efficiency.
- Learn about the characteristics of ohmic vs. non-ohmic resistors.
- Explore the use of the equation E = I(R + r) in practical circuit analysis.
- Investigate methods to minimize internal resistance in battery design.
USEFUL FOR
Electrical engineers, physics students, and anyone involved in battery technology or circuit design will benefit from this discussion.