https://file.aiquickdraw.com/mathbot/file/17267365188387idg6udm.jpg

4 - 100 Ohmn Resistors
4 - 200 Ohmn Resistors
1 - 620 Ohmn Resistor
1 - 820 Ohmn Resistor
2 -  1000 Ohmn Resistors
1 -  1200 Ohmn Resistor
1 -  1500 Ohmn Resistor
2 -  2000 Ohmn Resistors
1 -  2200 Ohmn Resistor
1 -  3900 Ohmn Resistor
1 -  4700 Ohmn Resistor
1 -  5100 Ohmn Resistor
1 -  6800 Ohmn Resistor

Based on the image and the list of resistors you have available, the task requires you to create specific resistance values by combining resistors either in series or parallel. Let's go through each desired value and find combinations using your available resistors.

### Desired Resistor Values:

1. **600 ohms**
   - **Hint**: Two resistors in parallel in kOhms.
   - You can use **620 ohms** in parallel with **820 ohms**:
     \[
     R_{parallel} = \frac{R_1 \cdot R_2}{R_1 + R_2} = \frac{620 \cdot 820}{620 + 820} = 708.79 \, \Omega
     \]
     This is still a bit higher than needed, so alternatively:
     - Combine **four 200 ohms resistors** in parallel to get exactly 600 ohms.

2. **800 ohms**
   - **Hint**: Add two 100 ohms in series to 600 ohms.
   - Using **four 200 ohms resistors** in parallel to get **600 ohms**, then adding two **100 ohms** in series results in:
     \[
     R_{total} = 600 \, \Omega + 100 \, \Omega + 100 \, \Omega = 800 \, \Omega
     \]

3. **1.2k ohms**
   - **Hint**: Use three resistors in series.
   - You can combine **three 400 ohms** resistors (using four **200 ohms** in series):
     \[
     R_{total} = 400 + 400 + 400 = 1200 \, \Omega = 1.2 \, k\Omega
     \]
     Alternatively, you have a single **1200 ohm resistor** already.

4. **4k ohms**
   - **Hint**: Use three resistors in series.
   - Combine:
     - **2000 ohms** + **2000 ohms** = **4000 ohms**.

5. **4.9k ohms**
   - **Hint**: Use two resistors in parallel and add another in series.
   - Use **5100 ohms** in series with the parallel combination of **two 2000 ohms** resistors:
     \[
     R_{parallel} = \frac{2000 \cdot 2000}{2000 + 2000} = 1000 \, \Omega
     \]
     Then, adding this in series:
     \[
     R_{total} = 5100 + 1000 = 6100 \, \Omega
     \]
     However, this is larger than needed, so another combination would be required (possibly involving a mix with 3900 ohms).

6. **9.1k ohms**
   - **Hint**: Use three resistors in series.
   - Combine the **4700 ohms** + **3900 ohms** + **510 ohms** (combination from 5100 and parallel resistances):
     \[
     R_{total} = 4700 + 3900 + 510 = 9110 \, \Omega
     \]
     This gets close to **9.1k ohms**.

Would you like further details on how to calculate these combinations or another resistor combination strategy? 

Here are five related questions:
1. What are the general rules for combining resistors in series and parallel?
2. How does tolerance affect the accuracy of resistor values in real-world circuits?
3. Can you explain how resistor combinations impact power dissipation?
4. How would you adjust resistor combinations if you only had limited quantities of resistors?
5. What tools can you use to measure the actual resistance of combined resistors?

**Tip:** When working with resistor networks, always double-check the resulting resistance with a multimeter, as real resistances might slightly differ due to manufacturing tolerances.

Using only fixed-value resistors available in your analog parts kit, design circuits which have the equivalent resistances listed below. For this, you may need to connect resistors in series AND/OR in parallel. These are the desired resistor values: 600 ohm, 800 Ohms, 1.2k, 4k, 4.9k, 9.1k.

Explore how to design circuits using fixed-value resistors to achieve desired resistance values such as 600 ohm, 800 ohm, and up to 9.1k ohm by combining resistors in series and parallel. This guide covers essential formulas and concepts in resistor calculations suitable for electrical engineering students.

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