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The images you've uploaded show an electrical circuit problem that involves calculating the equivalent resistance of a given circuit. The circuit consists of resistors \( R_1 \), \( R_2 \), \( R_3 \), and \( R_4 \) connected in a combination of series and parallel configurations.

### Analyzing the Circuit:
1. **Resistor Configuration:**
   - Resistors \( R_2 \) and \( R_3 \) are in parallel.
   - The combination of \( R_2 \) and \( R_3 \) is in series with \( R_4 \).
   - This entire combination is then in parallel with \( R_1 \).

2. **Resistor Values:**
   - \( R_1 = 6.8 \, \Omega \)
   - \( R_2 = 5.6 \, \Omega \)
   - \( R_3 = 9.1 \, \Omega \)
   - \( R_4 = 3.9 \, \Omega \)

### Steps to Find the Equivalent Resistance:
1. **Find the equivalent resistance of \( R_2 \) and \( R_3 \) in parallel:**
   \[
   \frac{1}{R_{23}} = \frac{1}{R_2} + \frac{1}{R_3}
   \]
   \[
   \frac{1}{R_{23}} = \frac{1}{5.6 \, \Omega} + \frac{1}{9.1 \, \Omega}
   \]
   Calculate \( R_{23} \).

2. **Add \( R_4 \) in series with \( R_{23} \) to get \( R_{234} \):**
   \[
   R_{234} = R_{23} + R_4
   \]
   Calculate \( R_{234} \).

3. **Finally, find the equivalent resistance of \( R_{234} \) and \( R_1 \) in parallel:**
   \[
   \frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_{234}}
   \]
   Calculate \( R_{eq} \).

I'll go ahead and calculate these steps for you.The equivalent resistance \( R_{eq} \) of the entire circuit is approximately \( 3.54 \, \Omega \).

Would you like more details on this calculation, or do you have any other questions?

Here are 5 related questions to consider:
1. How does the equivalent resistance change if \( R_2 \) and \( R_3 \) are swapped?
2. What would be the current flowing through the circuit if the voltage \( U \) is 12V?
3. How does adding another resistor in series with \( R_4 \) affect the equivalent resistance?
4. If \( R_1 \) is removed, what would be the new equivalent resistance?
5. How can we simplify a complex circuit with more resistors?

**Tip:** When resistors are in parallel, the equivalent resistance is always less than the smallest individual resistance in the group.

What is the equivalent resistance of the given circuit with resistors R1 = 6.8 Ω, R2 = 5.6 Ω, R3 = 9.1 Ω, and R4 = 3.9 Ω?

Calculate the equivalent resistance of a resistor circuit with R1 = 6.8 Ω, R2 = 5.6 Ω, R3 = 9.1 Ω, and R4 = 3.9 Ω. Learn how to apply Ohm's Law and the rules for series and parallel resistor combinations in this step-by-step solution. Suitable for high school students in Grades 9-12.

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