Using Kirchhoff's rules, find the following. (&₁ = 71.0 V, ₂ = 61.0 V, and 3 = b - a E₁ 1 IR2 IR3 2.00 ΚΩ www R₁ R₂ E 2 f 4.00 ΚΩ ww R3 3.00 ΚΩ (a) the current in each resistor shown in the figure above mA IR1 mA mA d E₂ 3 (b) the potential difference between points c and f magnitude of potential difference point at higher potential ---Select--- V 79.0 V.)

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Chapter1: Units, Trigonometry. And Vectors
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Using Kirchhoff's rules, find the following. (\(\mathcal{E}_1 = 71.0\, \text{V}, \mathcal{E}_2 = 61.0\, \text{V}, \text{and} \, \mathcal{E}_3 = 79.0\, \text{V}\))

### Circuit Diagram
- **Resistors:**
  - \( R_1 = 2.00 \, \text{k}\Omega \)
  - \( R_2 = 3.00 \, \text{k}\Omega \)
  - \( R_3 = 4.00 \, \text{k}\Omega \)
- **Voltage Sources:**
  - \( \mathcal{E}_1 \), connected between points \(a\) and \(b\)
  - \( \mathcal{E}_2 \), connected between points \(c\) and \(f\)
  - \( \mathcal{E}_3 \), connected between points \(d\) and \(e\)

### Questions

(a) The current in each resistor shown in the figure above:
- \( I_{R_1} = \underline{\quad} \, \text{mA} \)
- \( I_{R_2} = \underline{\quad} \, \text{mA} \)
- \( I_{R_3} = \underline{\quad} \, \text{mA} \)

(b) The potential difference between points \( c \) and \( f \):
- Magnitude of potential difference \( = \underline{\quad} \, \text{V} \)
- Point at higher potential: \underline{\quad} (Select option)
Transcribed Image Text:Using Kirchhoff's rules, find the following. (\(\mathcal{E}_1 = 71.0\, \text{V}, \mathcal{E}_2 = 61.0\, \text{V}, \text{and} \, \mathcal{E}_3 = 79.0\, \text{V}\)) ### Circuit Diagram - **Resistors:** - \( R_1 = 2.00 \, \text{k}\Omega \) - \( R_2 = 3.00 \, \text{k}\Omega \) - \( R_3 = 4.00 \, \text{k}\Omega \) - **Voltage Sources:** - \( \mathcal{E}_1 \), connected between points \(a\) and \(b\) - \( \mathcal{E}_2 \), connected between points \(c\) and \(f\) - \( \mathcal{E}_3 \), connected between points \(d\) and \(e\) ### Questions (a) The current in each resistor shown in the figure above: - \( I_{R_1} = \underline{\quad} \, \text{mA} \) - \( I_{R_2} = \underline{\quad} \, \text{mA} \) - \( I_{R_3} = \underline{\quad} \, \text{mA} \) (b) The potential difference between points \( c \) and \( f \): - Magnitude of potential difference \( = \underline{\quad} \, \text{V} \) - Point at higher potential: \underline{\quad} (Select option)
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