What is the resistance of a 1850 W (114 V) hair dryer?
What is the current in the hair dryer when it is used?


To find the resistance and the current of a hair dryer, we will use two fundamental formulas from electrical engineering:

1. **Power formula:**  
   \[
   P = V \times I
   \]  
   where:
   - \( P \) is the power in watts (W),
   - \( V \) is the voltage in volts (V),
   - \( I \) is the current in amperes (A).

2. **Ohm's Law:**  
   \[
   V = I \times R
   \]  
   which can be rearranged to find resistance:
   \[
   R = \frac{V}{I}
   \]  
   where:
   - \( R \) is the resistance in ohms (Ω).

### Step 1: Find the Current
Using the power formula, we can solve for the current \( I \):
\[
I = \frac{P}{V}
\]

Given:
- \( P = 1850 \, \text{W} \)
- \( V = 114 \, \text{V} \)

\[
I = \frac{1850}{114}
\]

Let's calculate the current.

### Step 2: Calculate the Resistance
After finding the current, we can use Ohm's Law to find the resistance \( R \):
\[
R = \frac{V}{I}
\]

Let's compute these values.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, I can guide you through the calculations step-by-step.

### Step-by-Step Calculations:

1. **Find the Current:**

   \[
   I = \frac{P}{V} = \frac{1850 \, \text{W}}{114 \, \text{V}} \approx 16.23 \, \text{A}
   \]

2. **Calculate the Resistance:**

   Use Ohm's Law to find the resistance:

   \[
   R = \frac{V}{I} = \frac{114 \, \text{V}}{16.23 \, \text{A}} \approx 7.02 \, \Omega
   \]

So, the resistance of the hair dryer is approximately **7.02 ohms** (Ω), and the current is about **16.23 amperes** (A).

Would you like to know more details, or do you have any questions?

### Related Questions:

1. What is Ohm's Law and how is it applied in electrical circuits?
2. How do you calculate power consumption in household devices?
3. What factors affect the resistance of an electrical component?
4. How does alternating current (AC) differ from direct current (DC)?
5. What are the typical safety considerations for electrical appliances?

**Tip:** Always ensure that your electrical devices are within the safe voltage and current limits to prevent damage and hazards.

What is the resistance of a 1850 W (114 V) hair dryer? What is the current in the hair dryer when it is used?

Learn how to calculate the resistance and current of a 1850W (114V) hair dryer using key formulas like Ohm's Law and the Power formula. This step-by-step solution explains how to find the current (16.23 A) and resistance (7.02 Ω) for high school students in Grades 9-12.

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