The image depicts an electrical circuit with two batteries and three resistors. The task is to determine the magnitude of the current through resistor \( R_2 \) given the following parameters: - Battery emf \( \varepsilon_1 = 12 \, \text{V} \)- Battery emf \( \varepsilon_2 = 15 \, \text{V} \)- Resistor \( R_1 = 9 \, \Omega \)- Resistor \( R_2 = 5 \, \Omega \)- Resistor \( R_3 = 8 \, \Omega \)The circuit diagram shows two batteries, \( \varepsilon_1 \) and \( \varepsilon_2 \), connected in series, with three resistors \( R_1 \), \( R_2 \), and \( R_3 \) also part of the circuit. The circuit appears to form a loop where these components are arranged.**Tip:** Start by using Kirchhoff's node and/or loop rules to write a system of three equations for the three branch currents. Then solve the system either analytically or using a solver like MATLAB, etc.

Answered: Image /qna-images/answer/82ed2cd0-9d52-49f2-95f7-d502b37e6d2c.jpg

Answered: The figure shows a circuit with two…

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