1. Are R1 and lR2 connected in series or parallel? 2. If R1 = 5kN and R2 = 10k2, what will the equivalent resistance be? %3D 3. If the battery is a 12V battery, what will the current through the it be?

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### Circuit Analysis

The image shows a simple electrical circuit with two resistors, \( R_1 \) and \( R_2 \), connected to a voltage source \( V \).

1. **Question**: Are \( R_1 \) and \( R_2 \) connected in series or parallel?
   - **Explanation**: The resistors are connected in series, as the same current flows through both resistors one after the other.

2. **Question**: If \( R_1 = 5 \, \text{k}\Omega \) and \( R_2 = 10 \, \text{k}\Omega \), what will the equivalent resistance be?
   - **Calculation**: In a series circuit, the equivalent resistance \( R_{\text{eq}} \) is the sum of the individual resistances:
     \[
     R_{\text{eq}} = R_1 + R_2 = 5 \, \text{k}\Omega + 10 \, \text{k}\Omega = 15 \, \text{k}\Omega
     \]

3. **Question**: If the battery is a 12V battery, what will the current through it be?
   - **Calculation**: Using Ohm’s Law \( V = IR \), where \( V \) is the voltage, \( I \) is the current, and \( R \) is the resistance:
     \[
     I = \frac{V}{R_{\text{eq}}} = \frac{12 \, \text{V}}{15 \, \text{k}\Omega} = 0.8 \, \text{mA}
     \]
Transcribed Image Text:### Circuit Analysis The image shows a simple electrical circuit with two resistors, \( R_1 \) and \( R_2 \), connected to a voltage source \( V \). 1. **Question**: Are \( R_1 \) and \( R_2 \) connected in series or parallel? - **Explanation**: The resistors are connected in series, as the same current flows through both resistors one after the other. 2. **Question**: If \( R_1 = 5 \, \text{k}\Omega \) and \( R_2 = 10 \, \text{k}\Omega \), what will the equivalent resistance be? - **Calculation**: In a series circuit, the equivalent resistance \( R_{\text{eq}} \) is the sum of the individual resistances: \[ R_{\text{eq}} = R_1 + R_2 = 5 \, \text{k}\Omega + 10 \, \text{k}\Omega = 15 \, \text{k}\Omega \] 3. **Question**: If the battery is a 12V battery, what will the current through it be? - **Calculation**: Using Ohm’s Law \( V = IR \), where \( V \) is the voltage, \( I \) is the current, and \( R \) is the resistance: \[ I = \frac{V}{R_{\text{eq}}} = \frac{12 \, \text{V}}{15 \, \text{k}\Omega} = 0.8 \, \text{mA} \]
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