Consider the following circuit ww R1 R2 3 where V = 10.0V, R2 = 10.0kN and R3 = 20.0k2. 1. Are the resistors connected in series or parallel? 2. What is the equivalent resistance of the resistor pair. 3. Use V IR and the equivalent resistance to find the total current though the battery. How much curront flowe through onch of tho two orriginol rogictors? (Hint: Note that onch of t bo two rocistors ww

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Chapter1: Units, Trigonometry. And Vectors
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### Circuit Analysis Exercise

#### Consider the following circuit:

![Circuit Diagram](image_placeholder)

The circuit features a voltage source \( V \) connected to two resistors, \( R_1 \) and \( R_2 \), that are set up in parallel. 

- \( V = 10.0 \, \text{V} \)
- \( R_2 = 10.0 \, \text{k}\Omega \)
- \( R_3 = 20.0 \, \text{k}\Omega \)

#### Questions:

1. **Are the resistors connected in series or parallel?**

2. **What is the equivalent resistance of the resistor pair?**

3. **Use the formula \( V = IR \) and the equivalent resistance to find the total current through the battery.**

4. **How much current flows through each of the two original resistors?**  
   (*Hint: Note that each of the two resistors has the same voltage across them, so you can use Ohm's Law for each one.*)

5. **When you sum the two currents together, do you get the current through the battery?**

#### Diagram Explanation:
The circuit diagram shows a parallel connection of resistors \( R_2 \) and \( R_3 \) powered by a voltage source \( V \). There is no direct indication of a third resistor \( R_1 \) in the provided information, possibly a typo or misunderstood mention in the text. It needs clarification from context or further information to ensure accurate analysis.
Transcribed Image Text:### Circuit Analysis Exercise #### Consider the following circuit: ![Circuit Diagram](image_placeholder) The circuit features a voltage source \( V \) connected to two resistors, \( R_1 \) and \( R_2 \), that are set up in parallel. - \( V = 10.0 \, \text{V} \) - \( R_2 = 10.0 \, \text{k}\Omega \) - \( R_3 = 20.0 \, \text{k}\Omega \) #### Questions: 1. **Are the resistors connected in series or parallel?** 2. **What is the equivalent resistance of the resistor pair?** 3. **Use the formula \( V = IR \) and the equivalent resistance to find the total current through the battery.** 4. **How much current flows through each of the two original resistors?** (*Hint: Note that each of the two resistors has the same voltage across them, so you can use Ohm's Law for each one.*) 5. **When you sum the two currents together, do you get the current through the battery?** #### Diagram Explanation: The circuit diagram shows a parallel connection of resistors \( R_2 \) and \( R_3 \) powered by a voltage source \( V \). There is no direct indication of a third resistor \( R_1 \) in the provided information, possibly a typo or misunderstood mention in the text. It needs clarification from context or further information to ensure accurate analysis.
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