.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.
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter2: Basic Electricity
Section: Chapter Questions
Problem 30RQ: True or False: Ohms law applies to all types of electrical circuits.
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F941f06a6-e646-4f8e-85a5-31bbef4ef150%2F92f8adea-0c91-43c3-9fb2-1dfa9f44103f%2Fvp0efe_processed.jpeg&w=3840&q=75)
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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