Consider the circuit shown below. What is the current in each resistance? Assume R, = 25 0, R, = 30 0, R3 = 15 0, R4 = 25 0 and E, = 24 V, E, = 4 V, Es = 60 V. R, E, E, R2 R3 R4 E3 =| 0.689 V Units A The magnitude of current in R,, 1, I, is directed to the Right Units A The magnitude of current in R2, I2 =| 1.652 Iz is directed Downward x Units A The magnitude of current in R3, I3 = 0.603 Iz is directed to the Right

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### Circuit Analysis

Consider the circuit diagram shown. We need to determine the current through each resistor given the following resistance and voltage values:
- \( R_1 = 25 \, \Omega \)
- \( R_2 = 30 \, \Omega \)
- \( R_3 = 15 \, \Omega \)
- \( R_4 = 25 \, \Omega \)
- \( E_1 = 24 \, V \)
- \( E_2 = 4 \, V \)
- \( E_3 = 60 \, V \)

#### Current Calculations

1. **Current through \( R_1 \) (\( I_1 \))**
   - Magnitude: \( 0.889 \, A \)
   - Direction: To the Right

2. **Current through \( R_2 \) (\( I_2 \))**
   - Magnitude: \( 1.652 \, A \)
   - Direction: Downward

3. **Current through \( R_3 \) (\( I_3 \))**
   - Magnitude: Incorrect input, should be calculated.
   - Direction: To the Right

4. **Current through \( R_4 \) (\( I_4 \))**
   - Magnitude: \( 0.889 \, A \)
   - Direction: Upward

#### Total Power Consumption

- The total power consumed by the circuit is \( P = 119.5 \, W \).

#### Circuit Diagram

- **Diagram Description**: The circuit contains four resistors \( (R_1, R_2, R_3, R_4) \) and three voltage sources \( (E_1, E_2, E_3) \). The configuration includes series and parallel connections with the specified directions of current flow.

This analysis allows us to understand current distribution and power consumption within complex circuits comprising multiple sources and resistors.
Transcribed Image Text:### Circuit Analysis Consider the circuit diagram shown. We need to determine the current through each resistor given the following resistance and voltage values: - \( R_1 = 25 \, \Omega \) - \( R_2 = 30 \, \Omega \) - \( R_3 = 15 \, \Omega \) - \( R_4 = 25 \, \Omega \) - \( E_1 = 24 \, V \) - \( E_2 = 4 \, V \) - \( E_3 = 60 \, V \) #### Current Calculations 1. **Current through \( R_1 \) (\( I_1 \))** - Magnitude: \( 0.889 \, A \) - Direction: To the Right 2. **Current through \( R_2 \) (\( I_2 \))** - Magnitude: \( 1.652 \, A \) - Direction: Downward 3. **Current through \( R_3 \) (\( I_3 \))** - Magnitude: Incorrect input, should be calculated. - Direction: To the Right 4. **Current through \( R_4 \) (\( I_4 \))** - Magnitude: \( 0.889 \, A \) - Direction: Upward #### Total Power Consumption - The total power consumed by the circuit is \( P = 119.5 \, W \). #### Circuit Diagram - **Diagram Description**: The circuit contains four resistors \( (R_1, R_2, R_3, R_4) \) and three voltage sources \( (E_1, E_2, E_3) \). The configuration includes series and parallel connections with the specified directions of current flow. This analysis allows us to understand current distribution and power consumption within complex circuits comprising multiple sources and resistors.
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