A circuit is constructed using two batteries and three resistors. What is the current I2 through resistor R2? Find an expression for I2 in terms of Va, Vb, R1, R2, and R3. Take the positive direction to be downward. ### Electrical Circuit Analysis#### Problem Statement:A circuit is constructed using two batteries and three resistors. The components are labeled as follows:- Voltage Source \(V_a\)- Voltage Source \(V_b\)- Resistor \(R_1\)- Resistor \(R_2\)- Resistor \(R_3\)The goal is to find the current \(I_2\) through resistor \(R_2\). The current \(I_2\) needs to be expressed in terms of the given voltage sources \(V_a, V_b\) and the resistances \(R_1, R_2,\) and \(R_3\). Assume the positive direction of \(I_2\) is downward.#### Diagram Explanation:The circuit diagram shows a simple arrangement with:- Voltage source \(V_a\) connected in series with resistor \(R_1\).- Resistor \(R_2\) follows \(R_1\) but is connected in parallel with another series combination of resistor \(R_3\) and voltage source \(V_b\).- The connection creates a loop where the current \(I_2\) must be determined.#### Task:Determine the expression for the current \(I_2\) through resistor \(R_2\) in terms of \(V_a, V_b, R_1, R_2,\) and \(R_3\).\[ I_2 = \boxed{\phantom{text to complete}}\]Please input the derived formula for the current \(I_2\) in the box provided.

This can be solve by two methods, one is Kirchhoff's Voltage law and other is Nodal Analysis

Answered: A circuit is constructed using two…

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A circuit is constructed using two batteries and three resistors. What is the current I2 through resistor R2? Find an Ri expression for I2 in terms of Va, Vp, R|, R2, and R3. Take the positive direction to be downward. R, R, I2 =