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.A resistor must provide a voltage drop of 27 V when the current is 10 mA. Which of the following resistors will provide the required resistance and appropriate wattage rating? a. 2.7 k2, /8 W. b. 270 2, /2 W. c. 2.7 k2, /2 W. d. 2.7 k2, '/4 W.

.A resistor must provide a voltage drop of 27 V when the current is 10 mA. Which of the following resistors will provide the required resistance and appropriate wattage rating? a. 2.7 k2, /8 W. b. 270 2, /2 W. c. 2.7 k2, /2 W. d. 2.7 k2, '/4 W.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**Educational Website Content: Understanding Resistor Requirements** **Problem Statement:** A resistor must provide a voltage drop of 27 V when the current is 10 mA. Which of the following resistors will provide the required resistance and appropriate wattage rating? **Options:** a. 2.7 kΩ, 1/8 W b. 270 Ω, 1/2 W c. 2.7 kΩ, 1/2 W d. 2.7 kΩ, 1/4 W **Explanation:** To solve this problem, we need to calculate the resistance required for a voltage drop of 27 V with a current of 10 mA using Ohm's Law and ensure the resistor can handle the power rating. 1. **Calculate the Required Resistance:** \[ R = \frac{V}{I} = \frac{27 \, \text{V}}{10 \times 10^{-3} \, \text{A}} = 2.7 \, \text{kΩ} \] 2. **Determine the Power Rating:** The power \( P \) dissipated by the resistor can be calculated using: \[ P = V \times I = 27 \, \text{V} \times 10 \times 10^{-3} \, \text{A} = 0.27 \, \text{W} \] 3. **Check Appropriate Wattage Rating:** The resistor must have a power rating higher than 0.27 W to prevent overheating. **Suitable Option:** Looking at the options, the correct choice would be: c. 2.7 kΩ, 1/2 W This option meets both the resistance and the power rating requirements. Ensure when selecting resistors, both resistance and power handling capabilities are considered to avoid failure in electronic circuits.
Transcribed Image Text:**Educational Website Content: Understanding Resistor Requirements** **Problem Statement:** A resistor must provide a voltage drop of 27 V when the current is 10 mA. Which of the following resistors will provide the required resistance and appropriate wattage rating? **Options:** a. 2.7 kΩ, 1/8 W b. 270 Ω, 1/2 W c. 2.7 kΩ, 1/2 W d. 2.7 kΩ, 1/4 W **Explanation:** To solve this problem, we need to calculate the resistance required for a voltage drop of 27 V with a current of 10 mA using Ohm's Law and ensure the resistor can handle the power rating. 1. **Calculate the Required Resistance:** \[ R = \frac{V}{I} = \frac{27 \, \text{V}}{10 \times 10^{-3} \, \text{A}} = 2.7 \, \text{kΩ} \] 2. **Determine the Power Rating:** The power \( P \) dissipated by the resistor can be calculated using: \[ P = V \times I = 27 \, \text{V} \times 10 \times 10^{-3} \, \text{A} = 0.27 \, \text{W} \] 3. **Check Appropriate Wattage Rating:** The resistor must have a power rating higher than 0.27 W to prevent overheating. **Suitable Option:** Looking at the options, the correct choice would be: c. 2.7 kΩ, 1/2 W This option meets both the resistance and the power rating requirements. Ensure when selecting resistors, both resistance and power handling capabilities are considered to avoid failure in electronic circuits.
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