Consider the circut below R2 = 20 k2 - 10 k2 - 10 k2 EV, - 12 V V½ = 24 V R4 = 10 k2 Rs - 10 kf2 What is the current that will fow in this crouit?

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### Understanding the Circuit

#### Circuit Description

This diagram represents a closed electrical circuit with the following components:

- **Resistors:**
  - \( R_1 = 10 \, \text{k}\Omega \)
  - \( R_2 = 20 \, \text{k}\Omega \)
  - \( R_3 = 10 \, \text{k}\Omega \)
  - \( R_4 = 10 \, \text{k}\Omega \)
  - \( R_5 = 10 \, \text{k}\Omega \)

- **Voltage Sources:**
  - \( V_1 = 12 \, \text{V} \)
  - \( V_2 = 24 \, \text{V} \)

#### Circuit Layout

The circuit is set up in a loop as follows:

1. **Start at \( V_1 \):** 
   - The positive terminal connects to \( R_1 \).
  
2. **Series Connections:**
   - \( R_1 \rightleftharpoons R_2 \)
   - \( R_2 \rightleftharpoons V_2 \)
   - \( V_2 \rightleftharpoons R_3 \)
   - \( R_3 \rightleftharpoons R_4 \)
   - \( R_4 \rightleftharpoons R_5 \)
   - \( R_5 \rightleftharpoons \) back to the negative terminal of \( V_1 \).

#### Objective

Calculate the current that will flow in this circuit.

To find the current, apply Ohm's Law and the rules for series circuits:

1. **In series circuits**, the total resistance \( R_t \) is the sum of the individual resistances:
   
   \[
   R_t = R_1 + R_2 + R_3 + R_4 + R_5
   \]

2. **Total Voltage** \( V_t \) is the sum of the voltages from \( V_1 \) and \( V_2 \):
   
   \[
   V_t = V_1 + V_2 
   \]

3. **Apply Ohm’s Law** to find the current \( I \):
   
   \[
   I = \frac{V_t}{R_t}
   \]

This analysis will help explain the electrical behavior of
Transcribed Image Text:### Understanding the Circuit #### Circuit Description This diagram represents a closed electrical circuit with the following components: - **Resistors:** - \( R_1 = 10 \, \text{k}\Omega \) - \( R_2 = 20 \, \text{k}\Omega \) - \( R_3 = 10 \, \text{k}\Omega \) - \( R_4 = 10 \, \text{k}\Omega \) - \( R_5 = 10 \, \text{k}\Omega \) - **Voltage Sources:** - \( V_1 = 12 \, \text{V} \) - \( V_2 = 24 \, \text{V} \) #### Circuit Layout The circuit is set up in a loop as follows: 1. **Start at \( V_1 \):** - The positive terminal connects to \( R_1 \). 2. **Series Connections:** - \( R_1 \rightleftharpoons R_2 \) - \( R_2 \rightleftharpoons V_2 \) - \( V_2 \rightleftharpoons R_3 \) - \( R_3 \rightleftharpoons R_4 \) - \( R_4 \rightleftharpoons R_5 \) - \( R_5 \rightleftharpoons \) back to the negative terminal of \( V_1 \). #### Objective Calculate the current that will flow in this circuit. To find the current, apply Ohm's Law and the rules for series circuits: 1. **In series circuits**, the total resistance \( R_t \) is the sum of the individual resistances: \[ R_t = R_1 + R_2 + R_3 + R_4 + R_5 \] 2. **Total Voltage** \( V_t \) is the sum of the voltages from \( V_1 \) and \( V_2 \): \[ V_t = V_1 + V_2 \] 3. **Apply Ohm’s Law** to find the current \( I \): \[ I = \frac{V_t}{R_t} \] This analysis will help explain the electrical behavior of
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