A 500 Ohm, 200 Ohm, and 300 Ohm resistors are all in serles and connected to 100 V power supply. What is the potential difference across the 200 Ohm resistor? O 20 V O 30 V O 100 V 50 V
A 500 Ohm, 200 Ohm, and 300 Ohm resistors are all in serles and connected to 100 V power supply. What is the potential difference across the 200 Ohm resistor? O 20 V O 30 V O 100 V 50 V
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A 500Ohm, 200 Ohm, and 300 Ohm resistors are all in series and connected to 100 V power supply. What is the potential difference across the 200 Ohm resistor?
![### Series Resistor and Potential Difference Problem
**Problem Statement:**
A 500 Ohm, 200 Ohm, and 300 Ohm resistors are all in series and connected to 100 V power supply. What is the potential difference across the 200 Ohm resistor?
**Options:**
1. 20 V
2. 30 V
3. 100 V
4. 50 V
---
#### Explanation:
When resistors are connected in series, the total resistance \(R_t\) is the sum of individual resistances:
\[ R_t = R_1 + R_2 + R_3 \]
Therefore,
\[ R_t = 500 \, \Omega + 200 \, \Omega + 300 \, \Omega = 1000 \, \Omega \]
The total current \(I\) in the circuit can be found using Ohm's Law:
\[ I = \frac{V}{R_t} = \frac{100 \, V}{1000 \, \Omega} = 0.1 \, A \]
Next, to find the potential difference across the 200 Ohm resistor, we use Ohm's Law again:
\[ V_2 = I \times R_2 \]
\[ V_2 = 0.1 \, A \times 200 \, \Omega = 20 \, V \]
Thus, the potential difference across the 200 Ohm resistor is 20 V.
**Correct Answer:** 1. 20 V
---
This problem illustrates key principles in analyzing circuits with resistors in series and demonstrates practical application of Ohm's Law in determining the voltage drops across individual resistors.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37797b3e-93b1-4c2c-98d5-fb6f936a5e8e%2Fceb61a88-fd2b-4d5b-846f-9853481cb4e2%2Fuo9kej_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Series Resistor and Potential Difference Problem
**Problem Statement:**
A 500 Ohm, 200 Ohm, and 300 Ohm resistors are all in series and connected to 100 V power supply. What is the potential difference across the 200 Ohm resistor?
**Options:**
1. 20 V
2. 30 V
3. 100 V
4. 50 V
---
#### Explanation:
When resistors are connected in series, the total resistance \(R_t\) is the sum of individual resistances:
\[ R_t = R_1 + R_2 + R_3 \]
Therefore,
\[ R_t = 500 \, \Omega + 200 \, \Omega + 300 \, \Omega = 1000 \, \Omega \]
The total current \(I\) in the circuit can be found using Ohm's Law:
\[ I = \frac{V}{R_t} = \frac{100 \, V}{1000 \, \Omega} = 0.1 \, A \]
Next, to find the potential difference across the 200 Ohm resistor, we use Ohm's Law again:
\[ V_2 = I \times R_2 \]
\[ V_2 = 0.1 \, A \times 200 \, \Omega = 20 \, V \]
Thus, the potential difference across the 200 Ohm resistor is 20 V.
**Correct Answer:** 1. 20 V
---
This problem illustrates key principles in analyzing circuits with resistors in series and demonstrates practical application of Ohm's Law in determining the voltage drops across individual resistors.
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