Determine the current flowing through resistor R₁, given: E₁=255 V, R₁ = 15, R₂ = 31, R₂ = 32 , and R₁ = 16 (Round the FINAL answer to two decimal places.) 4 ET R₁ R₂ R₂

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Determine the current flowing through resistor R1

### Circuit Analysis Problem

Determine the current flowing through resistor \( R_1 \), given:

\[ E_T = 255 \, V, \, R_1 = 15 \, \Omega, \, R_2 = 31 \, \Omega, \, R_3 = 32 \, \Omega, \, \text{and} \, R_4 = 16 \, \Omega \]

(Round the FINAL answer to two decimal places.)

**Circuit Diagram:**

- **Power Source**: A voltage source \( E_T = 255 \, V \).
- **Resistors**: 
  - \( R_1 = 15 \, \Omega \) is in series with the parallel combination of the other resistors.
  - \( R_2 = 31 \, \Omega \) and \( R_3 = 32 \, \Omega \) are connected in parallel.
  - \( R_4 = 16 \, \Omega \) is in series with the \( R_2 \) and \( R_3 \) parallel assembly.

**Diagram Explanation:**
- The circuit begins with a voltage source \( E_T \).
- The current first passes through \( R_1 \).
- After \( R_1 \), the path splits into a parallel section containing \( R_2 \) and \( R_3 \).
- After the parallel section, the circuit continues through \( R_4 \) and returns to the power source.

**Goals:**
- Calculate the current passing through \( R_1 \) by applying appropriate circuit analysis techniques, such as combining resistances in series and parallel, and using Ohm's Law.
Transcribed Image Text:### Circuit Analysis Problem Determine the current flowing through resistor \( R_1 \), given: \[ E_T = 255 \, V, \, R_1 = 15 \, \Omega, \, R_2 = 31 \, \Omega, \, R_3 = 32 \, \Omega, \, \text{and} \, R_4 = 16 \, \Omega \] (Round the FINAL answer to two decimal places.) **Circuit Diagram:** - **Power Source**: A voltage source \( E_T = 255 \, V \). - **Resistors**: - \( R_1 = 15 \, \Omega \) is in series with the parallel combination of the other resistors. - \( R_2 = 31 \, \Omega \) and \( R_3 = 32 \, \Omega \) are connected in parallel. - \( R_4 = 16 \, \Omega \) is in series with the \( R_2 \) and \( R_3 \) parallel assembly. **Diagram Explanation:** - The circuit begins with a voltage source \( E_T \). - The current first passes through \( R_1 \). - After \( R_1 \), the path splits into a parallel section containing \( R_2 \) and \( R_3 \). - After the parallel section, the circuit continues through \( R_4 \) and returns to the power source. **Goals:** - Calculate the current passing through \( R_1 \) by applying appropriate circuit analysis techniques, such as combining resistances in series and parallel, and using Ohm's Law.
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