When you connect an unknown resistor across the terminals of a 1.50 V AAA battery having negligi

step 1 Now, in this problem, we are told that a 1 .5 volt battery is set on a resistor, and it produces

When you connect an unknown resistor across the terminals of...

When you connect an unknown resistor across the terminals of a 1.50 $\mathrm{V}$ AAA battery having negligible internal resistance, you measure a current of 18.0 $\mathrm{mA}$ flowing through it. (a) What is the resistance of this resistor? (b) If you now place the resistor across the terminals of 12.6 $\mathrm{V}$ car battery having no inter- nal resistance, how much current will flow? (c) You now put the resistor across the terminals of an unknown battery of negligible internal resistance and measure a current of 0.453 $\mathrm{A}$ flowing through it. What is the potential difference across the terminals of the battery?

Key Concepts

Ohm's Law

Ohm’s Law states that the voltage (V) across a resistor is equal to the product of the current (I) flowing through it and its resistance (R), expressed as V = IR. This principle is fundamental in electric circuitry, as it enables the calculation of any one of these variables when the other two are known, forming the basis for analysis and design of electrical circuits.

Resistance

Resistance is a measure of a material's opposition to the flow of electric current and is expressed in ohms (?). It plays a critical role in determining how much current flows through a circuit when a voltage is applied, as higher resistance results in lower current for a given voltage according to Ohm's Law.

Electric Potential Difference (Voltage)

Electric potential difference, or voltage, is the energy per unit charge that drives the movement of electrons in a circuit. It is the force that pushes current through resistors and is central to understanding how electric circuits function, as it directly influences current flow when combined with resistance.

Battery Characteristics

Battery characteristics refer primarily to the electromotive force (emf) provided by a battery and, in many simplified problems, assume negligible internal resistance. This assumption implies that the entire terminal voltage is available to drive current through an external circuit, simplifying the analysis of how different batteries interact with different resistive loads.

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