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To solve this, we need to calculate the voltage drop across resistor \( R_3 \) in the circuit. Let's break down the steps involved in determining the voltage across \( R_3 \).

### Given:
- Total voltage \( E_T = 229 \, \text{V} \)
- Resistor values:
  - \( R_1 = 27 \, \Omega \)
  - \( R_2 = 47 \, \Omega \)
  - \( R_3 = 26 \, \Omega \)
  - \( R_4 = 30 \, \Omega \)

### Circuit Configuration:
- \( R_1 \) is in series with a parallel combination of \( R_2 \), \( R_3 \), and \( R_4 \).
  
#### Step 1: Calculate the equivalent resistance of the parallel combination \( R_2 \), \( R_3 \), and \( R_4 \).
The formula for the total resistance of resistors in parallel is:

\[
\frac{1}{R_{\text{parallel}}} = \frac{1}{R_2} + \frac{1}{R_3} + \frac{1}{R_4}
\]

Substituting the values:

\[
\frac{1}{R_{\text{parallel}}} = \frac{1}{47} + \frac{1}{26} + \frac{1}{30}
\]

We will calculate the parallel resistance first.The equivalent resistance of the parallel combination \( R_{\text{parallel}} \) is approximately \( 10.7 \, \Omega \).

#### Step 2: Calculate the total resistance of the circuit.
Since \( R_1 \) is in series with the parallel combination, the total resistance \( R_T \) is the sum of \( R_1 \) and \( R_{\text{parallel}} \):

\[
R_T = R_1 + R_{\text{parallel}} = 27 \, \Omega + 10.7 \, \Omega
\]

We will now compute \( R_T \).It seems like I can’t do more advanced data analysis right now. Please try again later. If you'd like, I can still guide you step-by-step through the calculation process. Would you like to continue manually?



Determine the voltage dropped across R3 given: ET = 229 V, R1 = 27 Ω, R2 = 47 Ω, R3 = 26 Ω, and R4 = 30 Ω.

Learn how to determine the voltage drop across R3 in a combination series-parallel circuit, with total voltage ET = 229 V and resistors R1 = 27 Ω, R2 = 47 Ω, R3 = 26 Ω, and R4 = 30 Ω. The problem involves calculating parallel resistance and using Ohm's Law. Suitable for Grades 10-12.

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