A 0.900-V potential difference is maintained across a 1.50-m length of tungsten wire that has a

step 1 So here we're given the voltage, the length of the wire, and the area of the wire, and then the

A 0.900-V potential difference is maintained across a 1.50-m...

A $0.900-\mathrm{V}$ potential difference is maintained across a $1.50-\mathrm{m}$ length of tungsten wire that has a cross-sectional area of $0.600 \mathrm{mm}^{2} .$ What is the current in the wire?

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Key Concepts

Unit Conversion

Consistent unit conversion is critical in physics problems to ensure that all measurements are expressed in the appropriate SI units. Converting units, such as from square millimeters to square meters for cross-sectional area, is essential when using formulas that require unit consistency to yield correct numerical results.

Ohm's Law

Ohm's Law is a fundamental principle in electric circuits that relates the voltage, current, and resistance of a conductor. It states that the voltage difference across a conductor is proportional to the product of the current flowing through it and its resistance (V = IR), allowing one to calculate any one of these quantities if the other two are known.

Resistance Calculation Using Material Properties

The resistance of a uniform conductor can be determined by the material's resistivity, its length, and its cross-sectional area, using the formula R = ?L/A. This formula shows that the resistance increases with the length of the conductor and decreases with a larger cross-sectional area, while the resistivity is an intrinsic property of the material indicating how strongly it opposes current flow.

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