In the circuit shown, the potential difference VA VB = 46.0 V and the resistance R₁ = R₂ = R3 = R4 = 255 Q. The arrows for currents IA and IB indicate the direction of positive current flow. The arrows do not necessarily indicate the direction of the actual current flow at those points. Determine the current IA. IA = Determine the current IB. IB = A A R₂ www VB R₁ www R₁ www R₂ www

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Chapter1: Units, Trigonometry. And Vectors
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In the circuit shown, the potential difference \( V_A = V_B = 46.0 \, \text{V} \) and the resistance \( R_1 = R_2 = R_3 = R_4 = 255 \, \Omega \). The arrows for currents \( I_A \) and \( I_B \) indicate the direction of positive current flow. The arrows do not necessarily indicate the direction of the actual current flow at those points.

Determine the current \( I_A \).

\[ I_A = \, \boxed{\,\rule{50pt}{0.5pt}\,} \, \text{A} \]

Determine the current \( I_B \).

\[ I_B = \, \boxed{\,\rule{50pt}{0.5pt}\,} \, \text{A} \]

**Diagram Explanation:**

The circuit diagram consists of two voltage sources \( V_A \) and \( V_B \), each connected through respective resistors \( R_1 \), \( R_2 \), \( R_3 \), and \( R_4 \). The resistors are organized in a specific layout:

- \( R_1 \) is connected in series with \( V_A \).
- \( R_2 \) and \( R_3 \) are placed in series with \( V_B \).
- \( R_4 \) completes the circuit by connecting back to the sources.

The arrows labeled \( I_A \) and \( I_B \) are depicted as vectors pointing upwards, indicating assumed directions of current flow through the respective loops containing the voltage sources.
Transcribed Image Text:In the circuit shown, the potential difference \( V_A = V_B = 46.0 \, \text{V} \) and the resistance \( R_1 = R_2 = R_3 = R_4 = 255 \, \Omega \). The arrows for currents \( I_A \) and \( I_B \) indicate the direction of positive current flow. The arrows do not necessarily indicate the direction of the actual current flow at those points. Determine the current \( I_A \). \[ I_A = \, \boxed{\,\rule{50pt}{0.5pt}\,} \, \text{A} \] Determine the current \( I_B \). \[ I_B = \, \boxed{\,\rule{50pt}{0.5pt}\,} \, \text{A} \] **Diagram Explanation:** The circuit diagram consists of two voltage sources \( V_A \) and \( V_B \), each connected through respective resistors \( R_1 \), \( R_2 \), \( R_3 \), and \( R_4 \). The resistors are organized in a specific layout: - \( R_1 \) is connected in series with \( V_A \). - \( R_2 \) and \( R_3 \) are placed in series with \( V_B \). - \( R_4 \) completes the circuit by connecting back to the sources. The arrows labeled \( I_A \) and \( I_B \) are depicted as vectors pointing upwards, indicating assumed directions of current flow through the respective loops containing the voltage sources.
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