a) RTotal =_ b) |Total = 201 c) ₁ = Figure (2) 3) The circuit in Figure (2) has values of, V = 40 Volt, R₁ = 40 S2, R₂ = 80 2 and R3 = 80 N. Calculate the following values for the circuit. , 1₂ =_ R₁ Verify, 11 + 12 + 13 = | Total 13=_ R2 V =40 Volt, R₁ = 40 2, R₂ = 60 N, R3 = 120 . R3 4) For the circuit in Figure (2), the voltage and the resistor values are changed as follows: Calculate RTotal and Total is equal to the sum of 11, 12, 13.

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### Educational Content: Circuit Analysis

#### Diagram Explanation
The diagram shows a mixed-resistor circuit configuration with a voltage source \( V \) and three resistors \( R_1, R_2, R_3 \). The resistors \( R_2 \) and \( R_3 \) are in parallel, and their combination is in series with \( R_1 \).

#### Circuit Values and Calculations

1. **Given Values in Figure (2):**
   - \( V = 40 \) Volt
   - \( R_1 = 40 \, \Omega \)
   - \( R_2 = 80 \, \Omega \)
   - \( R_3 = 80 \, \Omega \)

2. **Tasks: Calculate the following values for the circuit.**

   a) \( R_{\text{Total}} \)  
   \[ R_{\text{Total}} = \text{(Series + Parallel Calculation)} \]

   b) \( I_{\text{Total}} \)
   \[ I_{\text{Total}} = \frac{V}{R_{\text{Total}}} \]

   c) Current through each resistor:
   \[ I_1 = \, \, \]
   \[ I_2 = \, \, \]
   \[ I_3 = \, \, \]

   **Verification:**
   \[ I_1 + I_2 + I_3 = I_{\text{Total}} \]

3. **Modified Circuit in Figure (2):**
   - \( V = 40 \) Volt
   - \( R_1 = 40 \, \Omega \)
   - \( R_2 = 60 \, \Omega \)
   - \( R_3 = 120 \, \Omega \)

4. **Tasks: Calculate \( R_{\text{Total}} \) and verify \( I_{\text{Total}} \) is equal to the sum of \( I_1, I_2, I_3 \).**

This exercise provides practice in calculating total resistance for series and parallel circuits, as well as verifying current distribution and total current using Ohm’s Law.
Transcribed Image Text:### Educational Content: Circuit Analysis #### Diagram Explanation The diagram shows a mixed-resistor circuit configuration with a voltage source \( V \) and three resistors \( R_1, R_2, R_3 \). The resistors \( R_2 \) and \( R_3 \) are in parallel, and their combination is in series with \( R_1 \). #### Circuit Values and Calculations 1. **Given Values in Figure (2):** - \( V = 40 \) Volt - \( R_1 = 40 \, \Omega \) - \( R_2 = 80 \, \Omega \) - \( R_3 = 80 \, \Omega \) 2. **Tasks: Calculate the following values for the circuit.** a) \( R_{\text{Total}} \) \[ R_{\text{Total}} = \text{(Series + Parallel Calculation)} \] b) \( I_{\text{Total}} \) \[ I_{\text{Total}} = \frac{V}{R_{\text{Total}}} \] c) Current through each resistor: \[ I_1 = \, \, \] \[ I_2 = \, \, \] \[ I_3 = \, \, \] **Verification:** \[ I_1 + I_2 + I_3 = I_{\text{Total}} \] 3. **Modified Circuit in Figure (2):** - \( V = 40 \) Volt - \( R_1 = 40 \, \Omega \) - \( R_2 = 60 \, \Omega \) - \( R_3 = 120 \, \Omega \) 4. **Tasks: Calculate \( R_{\text{Total}} \) and verify \( I_{\text{Total}} \) is equal to the sum of \( I_1, I_2, I_3 \).** This exercise provides practice in calculating total resistance for series and parallel circuits, as well as verifying current distribution and total current using Ohm’s Law.
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