In the figure below, find the following. (Let E₁ = 23.0 V, E₂ = 10.0 V, and R = 13.0 (2.) &₁ L & + www R 28.0 Ω www 12.00 (a) the current in each resistor 1₁ = 1₂ = 13 = A A A (b) the power delivered to each resistor P1 = W P₂ = W

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**Circuit Analysis Problem**

In the figure below, find the following. (Let \( \mathcal{E}_1 = 23.0 \, \text{V}, \, \mathcal{E}_2 = 10.0 \, \text{V}, \, \text{and} \, R = 13.0 \, \Omega \).)

**Circuit Diagram:**

The circuit consists of two voltage sources (\( \mathcal{E}_1 \) and \( \mathcal{E}_2 \)) and three resistors arranged as follows:

- A 28.0 Ω resistor connected in series with voltage source \( \mathcal{E}_1 \).
- A 12.0 Ω resistor connected in series with voltage source \( \mathcal{E}_2 \).
- A resistor \( R = 13.0 \, \Omega \) connected parallel to the combination of the above resistors and voltage sources.

**Currents in the Circuit:**

- \( I_1 \) flows through the 28.0 Ω resistor.
- \( I_2 \) flows through the 12.0 Ω resistor.
- \( I_3 \) is the total current flowing through the resistor \( R \).

### (a) The Current in Each Resistor

- \( I_1 = \) [Enter value] A
- \( I_2 = \) [Enter value] A
- \( I_3 = \) [Enter value] A

### (b) The Power Delivered to Each Resistor

- \( p_1 = \) [Enter value] W
- \( p_2 = \) [Enter value] W
- \( p_3 = \) [Enter value] W

**Instructions:** Calculate the current in each resistor using Ohm’s Law and relevant circuit laws. Then, compute the power delivered to each resistor using the formula \( p = I^2 \cdot R \).
Transcribed Image Text:**Circuit Analysis Problem** In the figure below, find the following. (Let \( \mathcal{E}_1 = 23.0 \, \text{V}, \, \mathcal{E}_2 = 10.0 \, \text{V}, \, \text{and} \, R = 13.0 \, \Omega \).) **Circuit Diagram:** The circuit consists of two voltage sources (\( \mathcal{E}_1 \) and \( \mathcal{E}_2 \)) and three resistors arranged as follows: - A 28.0 Ω resistor connected in series with voltage source \( \mathcal{E}_1 \). - A 12.0 Ω resistor connected in series with voltage source \( \mathcal{E}_2 \). - A resistor \( R = 13.0 \, \Omega \) connected parallel to the combination of the above resistors and voltage sources. **Currents in the Circuit:** - \( I_1 \) flows through the 28.0 Ω resistor. - \( I_2 \) flows through the 12.0 Ω resistor. - \( I_3 \) is the total current flowing through the resistor \( R \). ### (a) The Current in Each Resistor - \( I_1 = \) [Enter value] A - \( I_2 = \) [Enter value] A - \( I_3 = \) [Enter value] A ### (b) The Power Delivered to Each Resistor - \( p_1 = \) [Enter value] W - \( p_2 = \) [Enter value] W - \( p_3 = \) [Enter value] W **Instructions:** Calculate the current in each resistor using Ohm’s Law and relevant circuit laws. Then, compute the power delivered to each resistor using the formula \( p = I^2 \cdot R \).
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