Final answer:
The electrical behavior of a Nichrome wire connected to a 1.5 V battery involves calculating its resistance, current, and power dissipation using the resistivity, Ohm's law, and power formulas.
Step-by-step explanation:
To describe the electrical behavior and calculations related to a 10-cm-long Nichrome wire connected to a 1.5 V battery, we will use Ohm's Law and the formula for resistance. Nichrome, a nickel-chromium alloy, is known for its high resistivity and ability to withstand high temperatures, which makes it suitable for heating elements.
Assuming we know the resistivity (ρ) and the cross-sectional area (A) of the Nichrome wire, we can calculate its resistance (R) using the formula R = ρ * L / A, where L is the length of the wire.
Once the resistance is known, we can calculate the current (I) using Ohm's Law, which states that I = V / R, where V is the potential difference applied across the wire. In this case, V is the 1.5 V from the battery. With the current determined, we can then calculate the power (P) dissipated by the wire using the formula P = I² * R. This power is dissipated in the form of heat, which is why Nichrome is used in devices like toasters and hair dryers.
It is important to consider that the resistivity of Nichrome changes with temperature; however, for purposes of this question, we will assume it is constant. The specific resistivity value for Nichrome will depend on its exact composition and can be found in tables or provided by the wire manufacturer. Without this value, we cannot complete the calculation.