**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.

Given data: Power (P) = 0.99 kW = 990 W Voltage (V) = 120 V Required: Current (I) and Resistance (R) Part(a) The electric power is given by P = VII = PV= 990 W120 V= 8.25 A The current is 8.25 A Answer: 8.25Part(b) According to the ohm's law V = IRR = VI= 120 V8.25 A= 14.545 Ω≈ 14.5 Ω The resistance is 14.5 Ω Answer: 14.5

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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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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.

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In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.

Question

**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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