Question

2 apply concepts as you turn on appliances in your home, you use more electrical energy. the voltage stays the same. complete the following to show what is happening when you turn on an appliance
electrical circuit
hairdryer turned on
current
voltage
resistance → decreases
energy use

Explanation:

Step1: Analyze the relationship between current and resistance

According to Ohm's law \(I = \frac{V}{R}\) (where \(I\) is current, \(V\) is voltage, and \(R\) is resistance). When the voltage \(V\) is constant (as given in the problem) and the resistance \(R\) decreases (since more appliances are added in parallel, and for parallel circuits, \(\frac{1}{R_{total}}=\sum_{i = 1}^{n}\frac{1}{R_{i}}\), adding more resistors \(R_{i}\) in parallel decreases \(R_{total}\)), the current \(I\) will increase.

Step2: Analyze the relationship between energy use and current

The power formula is \(P=VI\). Since \(V\) is constant and \(I\) increases, the power \(P\) (which is related to energy use \(E = Pt\), where \(t\) is time) will increase.

Answer:

Current: Increases; Voltage: Stays the same; Energy use: Increases