The circuit below applies to Problems 18-20. Hint: V=1(R1+ R2||R3) I 50 12 R1 R2R3 R2||R3 R2+R3 21V R2 30 60 R3 R2 -- 12= R2+R3 V = IR (Ohm's Law) 18. Find Ij. a. 1.0 A b. 1.3 А с. 1.7 A d. 2.0 A 19. Find Iz. a. 1.0 A b. 1.3 А с. 1.7 А d. 2.0 A 20. Find the power absorbed by the 60 resistor. Hint: P= (1;} (R;) а. 3 W b. 6 W c. 8 W d. 24 W

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**Circuit Analysis Problem Set**

The following circuit applies to Problems 18-20. The circuit diagram consists of:

- A voltage source of 21V.
- Three resistors: R1 = 5Ω, R2 = 3Ω, R3 = 6Ω.
- A parallel combination of resistors R2 and R3.

**Relevant Equations:**

1. Parallel resistors:  
   \( R_2 || R_3 = \frac{R_2 R_3}{R_2 + R_3} \)

2. Current through R2 (\( I_2 \)):  
   \( I_2 = \frac{R_2}{R_2 + R_3} I \)

3. Ohm's Law:  
   \( V = IR \)

**Graph Explanation:**

- The circuit depicts a series-parallel configuration.
- Current \( I \) flows through R1, then splits into \( I_1 \) through R2 and \( I_2 \) through R3.

**Problems:**

18. **Find \( I_1 \):**
   - a. 1.0 A
   - b. 1.3 A
   - c. 1.7 A
   - d. 2.0 A

19. **Find \( I_2 \):**
   - a. 1.0 A
   - b. 1.3 A
   - c. 1.7 A
   - d. 2.0 A

20. **Find the power absorbed by the 6Ω resistor. Hint: \( P = (I_2)^2 (R_3) \):**
   - a. 3 W
   - b. 6 W
   - c. 8 W
   - d. 24 W
Transcribed Image Text:**Circuit Analysis Problem Set** The following circuit applies to Problems 18-20. The circuit diagram consists of: - A voltage source of 21V. - Three resistors: R1 = 5Ω, R2 = 3Ω, R3 = 6Ω. - A parallel combination of resistors R2 and R3. **Relevant Equations:** 1. Parallel resistors: \( R_2 || R_3 = \frac{R_2 R_3}{R_2 + R_3} \) 2. Current through R2 (\( I_2 \)): \( I_2 = \frac{R_2}{R_2 + R_3} I \) 3. Ohm's Law: \( V = IR \) **Graph Explanation:** - The circuit depicts a series-parallel configuration. - Current \( I \) flows through R1, then splits into \( I_1 \) through R2 and \( I_2 \) through R3. **Problems:** 18. **Find \( I_1 \):** - a. 1.0 A - b. 1.3 A - c. 1.7 A - d. 2.0 A 19. **Find \( I_2 \):** - a. 1.0 A - b. 1.3 A - c. 1.7 A - d. 2.0 A 20. **Find the power absorbed by the 6Ω resistor. Hint: \( P = (I_2)^2 (R_3) \):** - a. 3 W - b. 6 W - c. 8 W - d. 24 W
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