A battery with an emf of 12.0 V has a terminal voltage of 11.5 V when the current is 3.00 A . (a

step 1 In the first part of this question, we are going to calculate the external resistance in the cir

A battery with an emf of 12.0 V has a terminal voltage of...

A battery with an emf of 12.0 $\mathrm{V}$ has a terminal voltage of 11.5 $\mathrm{V}$ when the current is 3.00 $\mathrm{A}$ . (a) Calculate the battery's internal resistance $r .$(b) Find the load resistance $R$ .

Key Concepts

Electromotive Force (EMF)

EMF is the ideal voltage generated by a battery when no current is drawn; it represents the total energy per unit charge imparted by the battery's chemical reactions and is measured under open-circuit conditions.

Terminal Voltage

Terminal voltage is the actual voltage measured across a battery's terminals during operation. It is lower than the EMF due to voltage drops caused by the battery's internal resistance when current is flowing.

Internal Resistance

Internal resistance represents the opposition to current flow within the battery itself. It causes a drop in the battery's voltage when current is drawn, affecting the overall efficiency and performance of the source.

Load Resistance

Load resistance is the resistance presented by the external circuit connected to the battery. It, along with the battery's internal resistance, determines the current in the circuit according to the principle of voltage division.

Ohm's Law

Ohm's Law is a fundamental principle in circuit analysis, establishing a linear relationship between voltage, current, and resistance. It is used to calculate voltage drops across components and to analyze the behavior of both internal and load resistance in electrical circuits.

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