A) Find the equivalent resistance of the arrangement. B) Find the voltage across the 8 Ohm resistor. C) Find the current through the 8 Ohm resistor. D) Find the power of the 8 Ohm resistor. each of these 3 A are 362 LMW www 82 B AVAB 3222 www. = 20 volts 32r each of these 4 are 162

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**Question 4**

A) Find the equivalent resistance of the arrangement.
B) Find the voltage across the 8 Ohm resistor.
C) Find the current through the 8 Ohm resistor.
D) Find the power of the 8 Ohm resistor.

**Circuit Description:**

The circuit diagram illustrated consists of several resistors arranged in a mixed combination of series and parallel. It is structured as follows:

1. There are three resistors, each of 36 Ω, connected in parallel.
2. One 8 Ω resistor is connected in series with the group of three parallel 36 Ω resistors.
3. After the 8 Ω resistor, two 32 Ω resistors are arranged in parallel.
4. Finally, four 16 Ω resistors are arranged in parallel, tied into the network after the parallel 32 Ω resistors.
5. Points A and B indicate the terminals across which the voltage (ΔV_AB = 20 volts) is measured.

**Diagrams:**

1. **Parallel Combination of 36 Ω Resistors:**

```
[36 Ω] 
| 
[36 Ω] 
| 
[36 Ω]

- These resistors are connected in parallel.
```

2. **Series Composition:**
```
8 Ω (series)

```

3. **Parallel Connection of 32 Ω Resistors:**
```
[32 Ω] 
| 
[32 Ω]

- Two 32 Ω resistors connected in parallel.
```

4. **Parallel Connection of 16 Ω Resistors:**
```
[16 Ω] 
| 
[16 Ω]
| 
[16 Ω]
| 
[16 Ω]

- Four 16 Ω resistors connected in parallel.
```

**Calculations:**

- **Total Resistance for 36 Ω Resistors in Parallel:**
  - \( \frac{1}{R_{parallel}} = \frac{1}{36} + \frac{1}{36} + \frac{1}{36} \)
  - \( R_{parallel} = 12 \) Ω

- **Combined Resistance with 8 Ω Resistor in Series:**
  - \( R = 12 Ω + 8 Ω = 20 Ω \)

- **Total Resistance for 32 Ω Resistors in Parallel:**
  - \( \frac{1}{R_{parallel}} = \frac{1}{32} + \frac{1}{32} \)
Transcribed Image Text:**Question 4** A) Find the equivalent resistance of the arrangement. B) Find the voltage across the 8 Ohm resistor. C) Find the current through the 8 Ohm resistor. D) Find the power of the 8 Ohm resistor. **Circuit Description:** The circuit diagram illustrated consists of several resistors arranged in a mixed combination of series and parallel. It is structured as follows: 1. There are three resistors, each of 36 Ω, connected in parallel. 2. One 8 Ω resistor is connected in series with the group of three parallel 36 Ω resistors. 3. After the 8 Ω resistor, two 32 Ω resistors are arranged in parallel. 4. Finally, four 16 Ω resistors are arranged in parallel, tied into the network after the parallel 32 Ω resistors. 5. Points A and B indicate the terminals across which the voltage (ΔV_AB = 20 volts) is measured. **Diagrams:** 1. **Parallel Combination of 36 Ω Resistors:** ``` [36 Ω] | [36 Ω] | [36 Ω] - These resistors are connected in parallel. ``` 2. **Series Composition:** ``` 8 Ω (series) ``` 3. **Parallel Connection of 32 Ω Resistors:** ``` [32 Ω] | [32 Ω] - Two 32 Ω resistors connected in parallel. ``` 4. **Parallel Connection of 16 Ω Resistors:** ``` [16 Ω] | [16 Ω] | [16 Ω] | [16 Ω] - Four 16 Ω resistors connected in parallel. ``` **Calculations:** - **Total Resistance for 36 Ω Resistors in Parallel:** - \( \frac{1}{R_{parallel}} = \frac{1}{36} + \frac{1}{36} + \frac{1}{36} \) - \( R_{parallel} = 12 \) Ω - **Combined Resistance with 8 Ω Resistor in Series:** - \( R = 12 Ω + 8 Ω = 20 Ω \) - **Total Resistance for 32 Ω Resistors in Parallel:** - \( \frac{1}{R_{parallel}} = \frac{1}{32} + \frac{1}{32} \)
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