For the circuit shown below, what is the total current in the circuit? (The voltage supplied to the circuit is V= 10.0 Volts) O 1.3 A O 10 A O 20 A 0.2 A R₁ = 102 R₂= 20 Ω R₁ = 30 www R3 = 20
For the circuit shown below, what is the total current in the circuit? (The voltage supplied to the circuit is V= 10.0 Volts) O 1.3 A O 10 A O 20 A 0.2 A R₁ = 102 R₂= 20 Ω R₁ = 30 www R3 = 20
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Concept explainers
Ohm's law
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.
Path of Least Resistance
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
![**Question:**
For the circuit shown below, what is the total current in the circuit? (The voltage supplied to the circuit is V = 10.0 Volts)
**Circuit Description:**
- The circuit consists of four resistors:
- \( R_1 = 10 \, \Omega \)
- \( R_2 = 20 \, \Omega \)
- \( R_3 = 20 \, \Omega \)
- \( R_4 = 30 \, \Omega \)
- The resistors \( R_2 \) and \( R_3 \) are connected in parallel.
- This parallel combination is in series with \( R_1 \) and \( R_4 \).
**Answer Choices:**
- \( \, 1.3 \, \text{A} \)
- \( \, 10 \, \text{A} \)
- \( \, 20 \, \text{A} \)
- \( \, 0.2 \, \text{A} \)
**Explanation:**
To find the total current, calculate the equivalent resistance of the circuit and apply Ohm's Law:
1. Calculate the equivalent resistance of \( R_2 \) and \( R_3 \) in parallel:
\[
\frac{1}{R_{\text{parallel}}} = \frac{1}{R_2} + \frac{1}{R_3} = \frac{1}{20} + \frac{1}{20} = \frac{2}{20} = \frac{1}{10}
\]
\[
R_{\text{parallel}} = 10 \, \Omega
\]
2. Calculate the total resistance of the circuit:
\[
R_{\text{total}} = R_1 + R_{\text{parallel}} + R_4 = 10 + 10 + 30 = 50 \, \Omega
\]
3. Apply Ohm’s Law to find the current:
\[
I = \frac{V}{R_{\text{total}}} = \frac{10}{50} = 0.2 \, \text{A}
\]
**Correct Answer: \(\, 0.2 \, \text{A} \)**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4889a1b2-cd02-493f-a3b5-7c3cbfe1f622%2F80008b3b-ae99-4dfd-a845-a9868646f2db%2Fu9mbvz8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
For the circuit shown below, what is the total current in the circuit? (The voltage supplied to the circuit is V = 10.0 Volts)
**Circuit Description:**
- The circuit consists of four resistors:
- \( R_1 = 10 \, \Omega \)
- \( R_2 = 20 \, \Omega \)
- \( R_3 = 20 \, \Omega \)
- \( R_4 = 30 \, \Omega \)
- The resistors \( R_2 \) and \( R_3 \) are connected in parallel.
- This parallel combination is in series with \( R_1 \) and \( R_4 \).
**Answer Choices:**
- \( \, 1.3 \, \text{A} \)
- \( \, 10 \, \text{A} \)
- \( \, 20 \, \text{A} \)
- \( \, 0.2 \, \text{A} \)
**Explanation:**
To find the total current, calculate the equivalent resistance of the circuit and apply Ohm's Law:
1. Calculate the equivalent resistance of \( R_2 \) and \( R_3 \) in parallel:
\[
\frac{1}{R_{\text{parallel}}} = \frac{1}{R_2} + \frac{1}{R_3} = \frac{1}{20} + \frac{1}{20} = \frac{2}{20} = \frac{1}{10}
\]
\[
R_{\text{parallel}} = 10 \, \Omega
\]
2. Calculate the total resistance of the circuit:
\[
R_{\text{total}} = R_1 + R_{\text{parallel}} + R_4 = 10 + 10 + 30 = 50 \, \Omega
\]
3. Apply Ohm’s Law to find the current:
\[
I = \frac{V}{R_{\text{total}}} = \frac{10}{50} = 0.2 \, \text{A}
\]
**Correct Answer: \(\, 0.2 \, \text{A} \)**
Expert Solution
Step 1
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON