Apply the loop rule to loop akledcba in the figure.

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Apply the loop rule to loop akledcba in the figure.

### Electrical Circuit Diagram Analysis

This image depicts an electrical circuit with multiple power sources, resistors, and internal resistances. The circuit includes four electromotive forces (emf), labeled \( \varepsilon_1 = 24.0 \, \text{V} \), \( \varepsilon_2 = 48.0 \, \text{V} \), \( \varepsilon_3 = 6.0 \, \text{V} \), and \( \varepsilon_4 = 36.0 \, \text{V} \). There are also several resistors and internal resistances: \( R_1 = 5.0 \, \Omega \), \( R_2 = 40 \, \Omega \), \( R_3 = 78 \, \Omega \), \( R_5 = 20 \, \Omega \), \( r_1 = 0.10 \, \Omega \), \( r_2 = 0.50 \, \Omega \), \( r_3 = 0.05 \, \Omega \), and \( r_4 = 0.20 \, \Omega \).

#### Circuit Elements:

- **Voltage Sources**: There are four voltage sources in the circuit with specified voltages.
- **Resistors**: Five resistors are present with defined resistances.
- **Current Directions**: Currents \( I_1 \), \( I_2 \), and \( I_3 \) are marked along three branches.

#### Equations:
Below the circuit diagram, four potential loop equations (a, b, c, d) are given, which may apply to this circuit:

- **(a)** \( \text{emf}_2 - I_2 r_2 - I_2 R_2 - I_1 R_5 - I_1 r_1 + \text{emf}_1 - I_1 R_1 = 0 \)
- **(b)** \( \text{emf}_2 - I_2 r_2 - I_2 R_2 + I_1 R_5 + I_1 r_1 + \text{emf}_1 + I_1 R_1 = 0 \)
- **(c)** \( \text{emf}_2 - I_2 r_2 - I_2 R_2 + I_
Transcribed Image Text:### Electrical Circuit Diagram Analysis This image depicts an electrical circuit with multiple power sources, resistors, and internal resistances. The circuit includes four electromotive forces (emf), labeled \( \varepsilon_1 = 24.0 \, \text{V} \), \( \varepsilon_2 = 48.0 \, \text{V} \), \( \varepsilon_3 = 6.0 \, \text{V} \), and \( \varepsilon_4 = 36.0 \, \text{V} \). There are also several resistors and internal resistances: \( R_1 = 5.0 \, \Omega \), \( R_2 = 40 \, \Omega \), \( R_3 = 78 \, \Omega \), \( R_5 = 20 \, \Omega \), \( r_1 = 0.10 \, \Omega \), \( r_2 = 0.50 \, \Omega \), \( r_3 = 0.05 \, \Omega \), and \( r_4 = 0.20 \, \Omega \). #### Circuit Elements: - **Voltage Sources**: There are four voltage sources in the circuit with specified voltages. - **Resistors**: Five resistors are present with defined resistances. - **Current Directions**: Currents \( I_1 \), \( I_2 \), and \( I_3 \) are marked along three branches. #### Equations: Below the circuit diagram, four potential loop equations (a, b, c, d) are given, which may apply to this circuit: - **(a)** \( \text{emf}_2 - I_2 r_2 - I_2 R_2 - I_1 R_5 - I_1 r_1 + \text{emf}_1 - I_1 R_1 = 0 \) - **(b)** \( \text{emf}_2 - I_2 r_2 - I_2 R_2 + I_1 R_5 + I_1 r_1 + \text{emf}_1 + I_1 R_1 = 0 \) - **(c)** \( \text{emf}_2 - I_2 r_2 - I_2 R_2 + I_
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