Three resistors R, = 89.1 N, R, = 21.1 N, R, = 70.0 N, and two batteries E, = 40.0 V, and E, = 369 V are connected as shown in the diagram below. R R2 (a) What current flows through R,, R2, and R,3? I, = (No Response) A I, = (No Response) A I, = (No Response) A (b) What is the absolute value of the potential difference across R,, R,, and R,? JAVRI| = (No Response) V JAVR21 = (No Response) V JAV831 = (No Response) V ww ww ww

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**Circuit Analysis with Three Resistors and Two Batteries**

In this exercise, three resistors \( R_1 = 89.1 \, \Omega \), \( R_2 = 21.1 \, \Omega \), and \( R_3 = 70.0 \, \Omega \) are connected in parallel, and two batteries \(\varepsilon_1 = 40.0 \, \text{V}\) and \(\varepsilon_2 = 369 \, \text{V}\) are integrated into the circuit as shown in the diagram. 

**Diagram Explanation:**

- The resistors \( R_1 \), \( R_2 \), and \( R_3 \) are positioned vertically, each parallel to the others.
- The battery \(\varepsilon_1\) is connected in series with \( R_1 \), and \(\varepsilon_2\) is connected in series with \( R_2 \).
- \( R_3 \) is placed parallel to both batteries.

**Questions:**

(a) **Current Flow:**

Determine the current flowing through each resistor, \( R_1 \), \( R_2 \), and \( R_3 \).

- \( I_1 = \) (No Response) A
- \( I_2 = \) (No Response) A
- \( I_3 = \) (No Response) A

(b) **Potential Difference:**

Calculate the absolute value of the potential difference across each resistor, \( R_1 \), \( R_2 \), and \( R_3 \).

- \( |\Delta V_{R_1}| = \) (No Response) V
- \( |\Delta V_{R_2}| = \) (No Response) V
- \( |\Delta V_{R_3}| = \) (No Response) V

This setup is designed to help students understand how currents and voltages distribute in a parallel circuit configuration with multiple power sources.
Transcribed Image Text:**Circuit Analysis with Three Resistors and Two Batteries** In this exercise, three resistors \( R_1 = 89.1 \, \Omega \), \( R_2 = 21.1 \, \Omega \), and \( R_3 = 70.0 \, \Omega \) are connected in parallel, and two batteries \(\varepsilon_1 = 40.0 \, \text{V}\) and \(\varepsilon_2 = 369 \, \text{V}\) are integrated into the circuit as shown in the diagram. **Diagram Explanation:** - The resistors \( R_1 \), \( R_2 \), and \( R_3 \) are positioned vertically, each parallel to the others. - The battery \(\varepsilon_1\) is connected in series with \( R_1 \), and \(\varepsilon_2\) is connected in series with \( R_2 \). - \( R_3 \) is placed parallel to both batteries. **Questions:** (a) **Current Flow:** Determine the current flowing through each resistor, \( R_1 \), \( R_2 \), and \( R_3 \). - \( I_1 = \) (No Response) A - \( I_2 = \) (No Response) A - \( I_3 = \) (No Response) A (b) **Potential Difference:** Calculate the absolute value of the potential difference across each resistor, \( R_1 \), \( R_2 \), and \( R_3 \). - \( |\Delta V_{R_1}| = \) (No Response) V - \( |\Delta V_{R_2}| = \) (No Response) V - \( |\Delta V_{R_3}| = \) (No Response) V This setup is designed to help students understand how currents and voltages distribute in a parallel circuit configuration with multiple power sources.
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