Calculate the numerical value of I2 in A. B. Calculate the numerical value of I3 through R3.

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Consider the three resistors R1 = 12 Ω, R2 = 39 Ω, and R3 = 78 Ω in the configuration shown in the figure. A potential difference ΔV = 1.5 V is applied between A and B.

A. Calculate the numerical value of I2 in A.

B. Calculate the numerical value of I3 through R3.

 

This diagram depicts an electrical circuit consisting of three resistors. 

- **Resistor \( R_1 \)** is connected in series with a parallel combination of two other resistors.
- **Resistors \( R_2 \) and \( R_3 \)** are arranged in parallel with each other.
- The circuit starts at point **A** and ends at point **B**.

In this configuration, the total resistance can be calculated using formulas for series and parallel resistors:

1. Calculate the equivalent resistance, \( R_{\text{parallel}} \), for the parallel resistors \( R_2 \) and \( R_3 \):

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

2. Add the resistance \( R_1 \) in series with the equivalent resistance \( R_{\text{parallel}} \):

   \[
   R_{\text{total}} = R_1 + R_{\text{parallel}}
   \]

This type of circuit is common in various electrical applications, where managing current flow and voltage distribution is essential.
Transcribed Image Text:This diagram depicts an electrical circuit consisting of three resistors. - **Resistor \( R_1 \)** is connected in series with a parallel combination of two other resistors. - **Resistors \( R_2 \) and \( R_3 \)** are arranged in parallel with each other. - The circuit starts at point **A** and ends at point **B**. In this configuration, the total resistance can be calculated using formulas for series and parallel resistors: 1. Calculate the equivalent resistance, \( R_{\text{parallel}} \), for the parallel resistors \( R_2 \) and \( R_3 \): \[ \frac{1}{R_{\text{parallel}}} = \frac{1}{R_2} + \frac{1}{R_3} \] 2. Add the resistance \( R_1 \) in series with the equivalent resistance \( R_{\text{parallel}} \): \[ R_{\text{total}} = R_1 + R_{\text{parallel}} \] This type of circuit is common in various electrical applications, where managing current flow and voltage distribution is essential.
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