A coffee maker is rated at 0.99 kW when connected to a 120 V source. (a) What current (in A) does the coffee maker carry? (b) What is its resistance (in 9)? Ω

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**Title: Understanding Power, Current, and Resistance in Electrical Appliances**

**Problem Statement:**

A coffee maker is rated at **0.99 kW** when connected to a **120 V** source. 

**Questions:**

(a) What current (in A) does the coffee maker carry?  
    ________ A

(b) What is its resistance (in Ω)?  
    ________ Ω

**Explanation:**

To calculate the current and resistance of the coffee maker, we use fundamental electrical equations. 

**Formulas:**

1. **Current (I) Calculation:**
   - Formula: \( I = \frac{P}{V} \)
   - Where \( I \) is the current in amperes (A), \( P \) is the power in watts (W), and \( V \) is the voltage in volts (V).

2. **Resistance (R) Calculation:**
   - Formula: \( R = \frac{V}{I} \)
   - Where \( R \) is the resistance in ohms (Ω).

**Given Data:**

- Power (\( P \)): 0.99 kW = 990 W
- Voltage (\( V \)): 120 V

**Steps to Solve:**

1. **Calculate the Current:**
   - Convert the power from kilowatts to watts (0.99 kW = 990 W).
   - Use the formula \( I = \frac{P}{V} = \frac{990}{120} \).

2. **Calculate the Resistance:**
   - Use the formula \( R = \frac{V}{I} \) after finding the current.

By following these steps, students can calculate important electrical parameters, enhancing their understanding of how household appliances like coffee makers function.
Transcribed Image Text:**Title: Understanding Power, Current, and Resistance in Electrical Appliances** **Problem Statement:** A coffee maker is rated at **0.99 kW** when connected to a **120 V** source. **Questions:** (a) What current (in A) does the coffee maker carry?     ________ A (b) What is its resistance (in Ω)?     ________ Ω **Explanation:** To calculate the current and resistance of the coffee maker, we use fundamental electrical equations. **Formulas:** 1. **Current (I) Calculation:** - Formula: \( I = \frac{P}{V} \) - Where \( I \) is the current in amperes (A), \( P \) is the power in watts (W), and \( V \) is the voltage in volts (V). 2. **Resistance (R) Calculation:** - Formula: \( R = \frac{V}{I} \) - Where \( R \) is the resistance in ohms (Ω). **Given Data:** - Power (\( P \)): 0.99 kW = 990 W - Voltage (\( V \)): 120 V **Steps to Solve:** 1. **Calculate the Current:** - Convert the power from kilowatts to watts (0.99 kW = 990 W). - Use the formula \( I = \frac{P}{V} = \frac{990}{120} \). 2. **Calculate the Resistance:** - Use the formula \( R = \frac{V}{I} \) after finding the current. By following these steps, students can calculate important electrical parameters, enhancing their understanding of how household appliances like coffee makers function.
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