The internal resistance of a 6.4-V storage battery is 4.8 m Ω. What is the theoretical maximum

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The internal resistance of a 6.4-V storage battery is 4.8 m...

The internal resistance of a $6.4-\mathrm{V}$ storage battery is $4.8 \mathrm{~m} \Omega$. What is the theoretical maximum current on short circuit? (In practice the leads and connections have some resistance, and this theoretical value would not be attained.)

Key Concepts

Ohm's Law

Ohm's Law is a fundamental principle in electrical circuits that states the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. It is represented by the equation I = V/R, and this relationship is used to calculate the current given a voltage and a resistance, which is essential in determining theoretical limits in electrical circuits.

Internal Resistance

Internal resistance is the inherent resistance present within a power source, such as a battery, which limits the amount of current that can be delivered. This resistance plays a crucial role in scenarios like short circuits, where the only resistance to current flow is the internal resistance of the battery itself, determining the theoretical maximum output current under ideal conditions.

Short Circuit

A short circuit occurs when there is a very low resistance path connecting two points in an electrical circuit, effectively bypassing the load. In such conditions, the current is limited mainly by the source’s internal resistance. This concept is central to understanding why, under idealized circumstances with negligible external resistance, a power source can output a very high current, as determined by its internal resistance.

Theoretical vs Practical Limits

The theoretical maximum current in a circuit is calculated under ideal conditions, where only the internal resistance of a source is considered. In practice, additional resistances from wires, connections, and other components reduce the current below this theoretical value. Recognizing the difference between these limits is important for both circuit design and safety assessments.

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