Use the relationship power = current voltage to find out how much current is drawn by a 1350 watt hair dryer when it operates on 120 volts. Then use Ohm's law to find the resistance of the hair dryer.
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There should be an x or "times" between current and voltage in your first sentence.
To find out the current drawn by a hair dryer operating at 1350 watts and 120 volts, we can use the relationship between power, current, and voltage.
The formula for power is P = IV, where P is power in watts, I is current in amperes, and V is voltage in volts.
We can rearrange the formula to solve for current (I):
I = P / V
Plugging in the given values, we have:
I = 1350 watts / 120 volts
Calculating this gives us:
I = 11.25 amperes
Therefore, the hair dryer will draw approximately 11.25 amperes of current when operating on 120 volts.
Now, let's move on to finding the resistance of the hair dryer using Ohm's Law.
Ohm's Law states that the current passing through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance between them. The formula for Ohm's Law is:
V = IR
Where V is voltage, I is current, and R is resistance.
We can rearrange the formula to solve for resistance (R):
R = V / I
Plugging in the given values, we have:
R = 120 volts / 11.25 amperes
Calculating this gives us:
R = 10.67 ohms
Therefore, the resistance of the hair dryer is approximately 10.67 ohms.