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
Be thorough to the fullest for explaining this.
![The image appears to be a handwritten note on a lined paper containing a diagram and related questions and formulas.
### Diagram:
The diagram shows an electrical circuit with resistors and a voltage source:
- A 12V battery is connected in the circuit.
- The resistors are labeled as follows:
- 3 ohms
- 8 ohms
- 5 ohms
- 10 ohms
- 4 ohms (There are two 4-ohm resistors)
### Questions:
1. **Determine the value and direction of all currents in the network.**
2. **Determine the potential difference across all resistors.**
3. **What are the value and algebraic sign of the potential differences from each side of the resistor to the top of the 12V battery?**
### Formulas:
- Ohm's Law is used: \( V = IR \), where \( V \) is voltage, \( I \) is current, and \( R \) is resistance.
- The total resistance \( R_t \) is calculated using the formula for resistors in series and parallel. The expression involves summing reciprocal values for parallel resistors:
\[
R_{eq} = \frac{1}{\sum \left( \frac{1}{R_i} \right)}
\]
- Power \( P_t \) in the circuit is calculated:
\[
P_t = \sum P_i
\]
These notes and diagram likely pertain to solving basic circuit analysis problems involving series and parallel resistor networks.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ba88ecd-654b-4f6b-9783-e93c33ca6a16%2Ff3b57863-b6b4-4163-b8a0-26ea2ffa2627%2Fl82kd7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image appears to be a handwritten note on a lined paper containing a diagram and related questions and formulas.
### Diagram:
The diagram shows an electrical circuit with resistors and a voltage source:
- A 12V battery is connected in the circuit.
- The resistors are labeled as follows:
- 3 ohms
- 8 ohms
- 5 ohms
- 10 ohms
- 4 ohms (There are two 4-ohm resistors)
### Questions:
1. **Determine the value and direction of all currents in the network.**
2. **Determine the potential difference across all resistors.**
3. **What are the value and algebraic sign of the potential differences from each side of the resistor to the top of the 12V battery?**
### Formulas:
- Ohm's Law is used: \( V = IR \), where \( V \) is voltage, \( I \) is current, and \( R \) is resistance.
- The total resistance \( R_t \) is calculated using the formula for resistors in series and parallel. The expression involves summing reciprocal values for parallel resistors:
\[
R_{eq} = \frac{1}{\sum \left( \frac{1}{R_i} \right)}
\]
- Power \( P_t \) in the circuit is calculated:
\[
P_t = \sum P_i
\]
These notes and diagram likely pertain to solving basic circuit analysis problems involving series and parallel resistor networks.
Expert Solution
Step 1
According to kirchhoff first law
Algebraic sum of current at a junction is zero
Step by step
Solved in 2 steps with 1 images
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