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To solve this question using the upper loop in the circuit, we apply **Kirchhoff's Voltage Law (KVL)**, which states that the sum of voltages around any closed loop in a circuit must equal zero.

### Given Data:
- \( V_1 = 5 \, \text{V} \)
- \( V_2 = 25 \, \text{V} \)
- \( R_1 = 4 \, \Omega \)
- \( R_2 = 3 \, \Omega \)
- \( R_3 = 6 \, \Omega \)
  
In the **upper loop**, the relevant elements are:
1. Voltage source \( V_1 \)
2. Resistor \( R_1 \) (with current \( I_1 \))
3. Resistor \( R_2 \) (with current \( I_2 \))
4. Voltage source \( V_2 \)

### KVL Equation for the Upper Loop:
The voltage drops across the resistors are:
- \( V_{R_1} = I_1 R_1 = I_1 \times 4 \, \Omega \)
- \( V_{R_2} = I_2 R_2 = I_2 \times 3 \, \Omega \)

The sum of voltages for the upper loop:
- Starting at \( V_1 \), going through \( R_1 \), then \( R_2 \), and finally \( V_2 \), we get:
\[
V_1 - (I_1 R_1) - (I_2 R_2) - V_2 = 0
\]
Substituting the values:
\[
5 - 4I_1 - 3I_2 - 25 = 0
\]
Simplifying:
\[
-4I_1 - 3I_2 = 20
\]
\[
4I_1 + 3I_2 = -20
\]

This matches **none** of the given options, as none correspond to \( 4I_1 + 3I_2 = -20 \). Therefore, the correct choice is **"none of these"**.

Would you like further details or clarifications? 

Here are 5 related questions to explore:
1. How do you apply Kirchhoff’s Current Law (KCL) in circuits like this?
2. What are the steps to solve a circuit with more than two loops?
3. How do you solve for unknown currents using simultaneous equations in a circuit?
4. How do resistor values affect the current distribution in parallel circuits?
5. How would the equation change if the polarity of \( V_2 \) was reversed?

**Tip:** Always double-check the polarity of voltage sources when applying Kirchhoff’s Voltage Law (KVL).

Given the following circuit, which of the following equations corresponds to the correct equation if we want to use the upper loop? The values in the diagram are as follows: V1 = 5V, V2 = 25V, V3 = 35V, R1 = 4Ω, R2 = 3Ω, R3 = 6Ω.

Explore the application of Kirchhoff's Voltage Law in solving for the upper loop equation in an electrical circuit. This problem includes values for resistances and voltage sources, demonstrating step-by-step calculations relevant for undergraduate students.

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