Calculate the numerical value of I2 in A. B. Calculate the numerical value of I3 through R3.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96bdc984-0c94-4126-931a-4f5fa3dfc15a%2F321bef2a-f0af-4752-a3d2-176f1c86f1a6%2Fmh0e61b_processed.png&w=3840&q=75)
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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