Consider the circuit shown in (Figure 1). The batteries have emfs of E = 9.0 V and E = 12.0 V and the resistors have values of R = 27 N, R2 = 62 N, and R3 = 41 N. Part A Determine the magnitudes of the currents in each resistor shown in the figure. Ignore internal resistance of the batteries. Express your answers using two significant figures separated by commas. I, I2, Iz = |0.097 A Submit Previous Answers Request Answer Part B Determine the directions of the currents in each resistor. Ignore internal resistance of the batteries. O h right, I2 left, Iz down O I1 right, I2 left, Iz up O 1 left, Iz right, I3 down Figure < 1 of 1 O 1 left, I2 right, I3 up R1 Request Answer Submit R2 Part C Complete previous part(s) Part D Complete previous part(s) R3 Provide Feedback

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**Circuit Analysis Problem**

Consider the circuit shown in the figure. The batteries have electromotive forces (emfs) of \( \mathcal{E}_1 = 9.0 \, \text{V} \) and \( \mathcal{E}_2 = 12.0 \, \text{V} \). The resistors have the following values: \( R_1 = 27 \, \Omega \), \( R_2 = 62 \, \Omega \), and \( R_3 = 41 \, \Omega \).

**Figure Description**

The circuit diagram includes:
- Two batteries (\( \mathcal{E}_1 \) and \( \mathcal{E}_2 \)) connected in the circuit, each with specified voltages.
- Three resistors (\( R_1 \), \( R_2 \), and \( R_3 \)) arranged in a configuration.

**Part A**

*Question:* Determine the magnitudes of the currents in each resistor shown in the figure. Ignore the internal resistance of the batteries.

*Input Format:* Express your answers using two significant figures separated by commas.

*Example Answer Format:*
- \( I_1, I_2, I_3 = 0.097 \)

**Part B**

*Question:* Determine the directions of the currents in each resistor. Ignore the internal resistance of the batteries.

*Options:*
1. \( I_1 \) right, \( I_2 \) left, \( I_3 \) down
2. \( I_1 \) right, \( I_2 \) left, \( I_3 \) up
3. \( I_1 \) left, \( I_2 \) right, \( I_3 \) down
4. \( I_1 \) left, \( I_2 \) right, \( I_3 \) up

*Action:* Submit the correct option.

---

**Note:** To proceed to Parts C and D, complete the previous sections. For feedback, use the "Provide Feedback" option.
Transcribed Image Text:**Circuit Analysis Problem** Consider the circuit shown in the figure. The batteries have electromotive forces (emfs) of \( \mathcal{E}_1 = 9.0 \, \text{V} \) and \( \mathcal{E}_2 = 12.0 \, \text{V} \). The resistors have the following values: \( R_1 = 27 \, \Omega \), \( R_2 = 62 \, \Omega \), and \( R_3 = 41 \, \Omega \). **Figure Description** The circuit diagram includes: - Two batteries (\( \mathcal{E}_1 \) and \( \mathcal{E}_2 \)) connected in the circuit, each with specified voltages. - Three resistors (\( R_1 \), \( R_2 \), and \( R_3 \)) arranged in a configuration. **Part A** *Question:* Determine the magnitudes of the currents in each resistor shown in the figure. Ignore the internal resistance of the batteries. *Input Format:* Express your answers using two significant figures separated by commas. *Example Answer Format:* - \( I_1, I_2, I_3 = 0.097 \) **Part B** *Question:* Determine the directions of the currents in each resistor. Ignore the internal resistance of the batteries. *Options:* 1. \( I_1 \) right, \( I_2 \) left, \( I_3 \) down 2. \( I_1 \) right, \( I_2 \) left, \( I_3 \) up 3. \( I_1 \) left, \( I_2 \) right, \( I_3 \) down 4. \( I_1 \) left, \( I_2 \) right, \( I_3 \) up *Action:* Submit the correct option. --- **Note:** To proceed to Parts C and D, complete the previous sections. For feedback, use the "Provide Feedback" option.
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