Current Attemptin Progress Each resistor in the three circuits in the drawing has the same resistance R, and the batteries have the same voltage V. The values for R and V are 80 and 6.0 V, respectively. Determine the total power delivered by the battery in each of the three circuits. R www R R R www www R R R R wwwww wwwww V V Circuit A Circuit B R R R w [www] www F PA= i V Circuit C

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Chapter10: Direct-current Circuits
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**Current Attempt in Progress**

Each resistor in the three circuits in the drawing has the same resistance \( R \), and the batteries have the same voltage \( V \). The values for \( R \) and \( V \) are 8 \(\Omega\) and 6.0 V, respectively. Determine the total power delivered by the battery in each of the three circuits.

### Diagram Descriptions:

#### Circuit A:
- Top part: Two resistors \( R \) are in series.
- Bottom part: Two resistors \( R \) are in series.
- The top and bottom series combinations are connected in parallel.
- A battery with voltage \( V \) is connected across the parallel network.

#### Circuit B:
- There are three branches.
- Each branch contains two resistors \( R \) in series.
- The three branches are connected in parallel.
- A battery with voltage \( V \) is connected across the parallel branches.

#### Circuit C:
- The top part has one single resistor \( R \).
- The middle part, below the top resistor, has two resistors \( R \) in parallel.
- The bottom part consists of the parallel combination in the middle, connected in series with one resistor \( R \).
- A battery with voltage \( V \) is connected across this complex network.

### Power Calculation:

The power delivered by the battery in each circuit can be calculated using the formula:
\[ P = \frac{V^2}{R_{eq}} \]

Where:
- \( P \) is the total power.
- \( V \) is the voltage of the battery.
- \( R_{eq} \) is the equivalent resistance of the circuit.

Enter your values for \( P_A \), \( P_B \), and \( P_C \) after calculating the equivalent resistance for each circuit.

\[
P_A = \quad \text{(Your Answer)}
\]
\[
P_B = \quad \text{(Your Answer)}
\]
\[
P_C = \quad \text{(Your Answer)}
\]
Transcribed Image Text:**Current Attempt in Progress** Each resistor in the three circuits in the drawing has the same resistance \( R \), and the batteries have the same voltage \( V \). The values for \( R \) and \( V \) are 8 \(\Omega\) and 6.0 V, respectively. Determine the total power delivered by the battery in each of the three circuits. ### Diagram Descriptions: #### Circuit A: - Top part: Two resistors \( R \) are in series. - Bottom part: Two resistors \( R \) are in series. - The top and bottom series combinations are connected in parallel. - A battery with voltage \( V \) is connected across the parallel network. #### Circuit B: - There are three branches. - Each branch contains two resistors \( R \) in series. - The three branches are connected in parallel. - A battery with voltage \( V \) is connected across the parallel branches. #### Circuit C: - The top part has one single resistor \( R \). - The middle part, below the top resistor, has two resistors \( R \) in parallel. - The bottom part consists of the parallel combination in the middle, connected in series with one resistor \( R \). - A battery with voltage \( V \) is connected across this complex network. ### Power Calculation: The power delivered by the battery in each circuit can be calculated using the formula: \[ P = \frac{V^2}{R_{eq}} \] Where: - \( P \) is the total power. - \( V \) is the voltage of the battery. - \( R_{eq} \) is the equivalent resistance of the circuit. Enter your values for \( P_A \), \( P_B \), and \( P_C \) after calculating the equivalent resistance for each circuit. \[ P_A = \quad \text{(Your Answer)} \] \[ P_B = \quad \text{(Your Answer)} \] \[ P_C = \quad \text{(Your Answer)} \]
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