In an old house, the wires leading to a 120 V outlet have a total resistance of 0.45 Ω. When you

step 1 To calculate the voltage decrease for Part A, it's simply the implementation of Oms Law, so 12 a

In an old house, the wires leading to a 120 V outlet have a...

In an old house, the wires leading to a $120 \mathrm{V}$ outlet have a total resistance of $0.45 \Omega .$ When you plug in a hair dryer, it draws a 12 A current. a. How much does the outlet voltage decrease due to the voltage drop across the wires? b. What is the power dissipated as heat in the wires?

In an old house, the wires leading to a $120 \mathrm{V}$ outlet have a total resistance of $0.45 \Omega .$ When you plug in a hair dryer, it draws a 12 A current.
a. How much does the outlet voltage decrease due to the voltage drop across the wires?
b. What is the power dissipated as heat in the wires?

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Key Concepts

Ohm's Law

A fundamental principle in electrical circuits that relates voltage, current, and resistance using the equation V = IR. This law is used to determine one of the three quantities if the other two are known and is essential for analyzing circuit behavior.

Voltage Drop

This is the reduction in electrical voltage across a component or conductor when current flows through it due to its resistance. Understanding voltage drop is important for assessing how much available voltage decreases in parts of a circuit.

Power Dissipation

This refers to the conversion of electrical energy into heat in a resistor or conductor, often calculated with the formulas P = I²R or P = VI. It is a key concept in evaluating energy losses and ensuring that components can safely handle the generated heat.

Electrical Circuits

These are systems composed of interconnected electrical components like resistors, power sources, and conductors. Comprehending circuit theory is crucial for analyzing how components interact, how current flows, and how voltage is distributed throughout the system.

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