Determine the current flowing through resistor R₁, given: 4' E₁= 15 V, R₁ = 232, R₂ = 142, R₂ = 142, and R₂ = 140 14Ω 4 (Round the FINAL answer to two decimal places.) R₁ www Click on the image to view a larger version of it.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
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Current flowing through resistor R4?
### Problem Statement:

**Determine the current flowing through resistor \(R_4\), given:**

- \(E_T = 15 \, \text{V}\)
- \(R_1 = 23 \, \Omega\)
- \(R_2 = 14 \, \Omega\)
- \(R_3 = 14 \, \Omega\)
- \(R_4 = 14 \, \Omega\)

*Round the FINAL answer to two decimal places.*

---

### Circuit Diagram Explanation:

The circuit diagram provided includes:

- A voltage source (\(E_T\)) of 15 volts.
- Four resistors:
  - \(R_1\) is connected in series with the parallel combination of \(R_2\), \(R_3\), and \(R_4\).

The resistors \(R_2\), \(R_3\), and \(R_4\) are arranged in parallel, forming a parallel network that is in series with \(R_1\).

### Instructions:

To find the current flowing through \(R_4\), perform the following steps:

1. Calculate the equivalent resistance of the parallel network (\(R_2\), \(R_3\), \(R_4\)).
2. Find the total resistance in the circuit.
3. Determine the total current flowing through the circuit using Ohm's Law.
4. Calculate the current through \(R_4\) using the properties of parallel circuits.
Transcribed Image Text:### Problem Statement: **Determine the current flowing through resistor \(R_4\), given:** - \(E_T = 15 \, \text{V}\) - \(R_1 = 23 \, \Omega\) - \(R_2 = 14 \, \Omega\) - \(R_3 = 14 \, \Omega\) - \(R_4 = 14 \, \Omega\) *Round the FINAL answer to two decimal places.* --- ### Circuit Diagram Explanation: The circuit diagram provided includes: - A voltage source (\(E_T\)) of 15 volts. - Four resistors: - \(R_1\) is connected in series with the parallel combination of \(R_2\), \(R_3\), and \(R_4\). The resistors \(R_2\), \(R_3\), and \(R_4\) are arranged in parallel, forming a parallel network that is in series with \(R_1\). ### Instructions: To find the current flowing through \(R_4\), perform the following steps: 1. Calculate the equivalent resistance of the parallel network (\(R_2\), \(R_3\), \(R_4\)). 2. Find the total resistance in the circuit. 3. Determine the total current flowing through the circuit using Ohm's Law. 4. Calculate the current through \(R_4\) using the properties of parallel circuits.
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