To determine the current conducted by a hair dryer with a resistance of [tex]\(11.5 \Omega\)[/tex] when plugged into a wall outlet providing [tex]\(120 V\)[/tex], we can use Ohm’s law. Ohm's law states that the current [tex]\( I \)[/tex] flowing through a circuit is equal to the voltage [tex]\( V \)[/tex] divided by the resistance [tex]\( R \)[/tex].
The formula for Ohm’s law is:
[tex]\[ I = \frac{V}{R} \][/tex]
Given:
- Voltage [tex]\( V = 120 \)[/tex] Volts
- Resistance [tex]\( R = 11.5 \)[/tex] Ohms
Now, substitute the given values into the formula:
[tex]\[ I = \frac{120}{11.5} \][/tex]
Carrying out the division:
[tex]\[ I = 10.434782608695652 \][/tex]
Rounding this to the nearest tenth, we get:
[tex]\[ I \approx 10.4 \, \text{A} \][/tex]
So, the current conducted by the hair dryer is approximately [tex]\(10.4 \, \text{A}\)[/tex].
Therefore, the correct answer is:
[tex]\[ 10.4 \, \text{A} \][/tex]
