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
Question
![**Problem Statement:**
Given a 46.0-V battery and 24.0-Ω and 97.0-Ω resistors, find the current when connected in parallel.
**Task:**
Provide the solution: ________ A
**Solution Steps:**
1. **Understand the Problem:**
- A 46.0-volt battery is connected to two resistors in parallel: one with a resistance of 24.0 ohms and the other with a resistance of 97.0 ohms.
2. **Calculate the Total Resistance:**
- In a parallel circuit, the total resistance \( R_t \) can be calculated using the formula:
\[
\frac{1}{R_t} = \frac{1}{R_1} + \frac{1}{R_2}
\]
- For \( R_1 = 24.0 \, \Omega \) and \( R_2 = 97.0 \, \Omega \), the calculation becomes:
\[
\frac{1}{R_t} = \frac{1}{24} + \frac{1}{97}
\]
- Solve for \( R_t \).
3. **Calculate the Total Current:**
- Use Ohm's Law to find the current \( I \) using the formula:
\[
I = \frac{V}{R_t}
\]
- Where \( V = 46.0 \, \text{V} \).
4. **Provide the Numerical Solution:**
- Plug in the values and calculate the result to find the current in amperes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d0fca7b-87e2-42be-9458-260269753889%2F85a5a654-afe2-4366-b38a-d4b438a8e5a7%2Frvgc7jr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Given a 46.0-V battery and 24.0-Ω and 97.0-Ω resistors, find the current when connected in parallel.
**Task:**
Provide the solution: ________ A
**Solution Steps:**
1. **Understand the Problem:**
- A 46.0-volt battery is connected to two resistors in parallel: one with a resistance of 24.0 ohms and the other with a resistance of 97.0 ohms.
2. **Calculate the Total Resistance:**
- In a parallel circuit, the total resistance \( R_t \) can be calculated using the formula:
\[
\frac{1}{R_t} = \frac{1}{R_1} + \frac{1}{R_2}
\]
- For \( R_1 = 24.0 \, \Omega \) and \( R_2 = 97.0 \, \Omega \), the calculation becomes:
\[
\frac{1}{R_t} = \frac{1}{24} + \frac{1}{97}
\]
- Solve for \( R_t \).
3. **Calculate the Total Current:**
- Use Ohm's Law to find the current \( I \) using the formula:
\[
I = \frac{V}{R_t}
\]
- Where \( V = 46.0 \, \text{V} \).
4. **Provide the Numerical Solution:**
- Plug in the values and calculate the result to find the current in amperes.
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