What is the equivalent capacitance of the combination shown? A. 24 microfarads B. 100 microfarads C. 12 microfarads D. 4.6 microfarads
What is the equivalent capacitance of the combination shown? A. 24 microfarads B. 100 microfarads C. 12 microfarads D. 4.6 microfarads
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What is the equivalent capacitance of the combination shown?
A. 24 microfarads
B. 100 microfarads
C. 12 microfarads
D. 4.6 microfarads
![The image depicts a circuit diagram featuring two pairs of capacitors. Here's a detailed transcription and explanation for educational purposes:
### Diagram Description:
- **Four Capacitors** are shown connected in a specific configuration.
- **Two Capacitors in Series:**
- The top pair consists of two capacitors each labeled as 20 microfarads (µF). These are connected in series.
- The bottom pair consists of two capacitors each labeled as 30 microfarads (µF). These also are connected in series.
- **Configuration:**
- The two 20 µF capacitors are connected to the left of the diagram.
- The two 30 µF capacitors are connected to the right of the diagram.
- There is a central horizontal line that connects both pairs in parallel.
### Educational Explanation:
The arrangement features two sets of capacitors. Each set is connected in series, meaning the total capacitance for each series can be calculated using the formula:
\[ C_{\text{total series}} = \left( \frac{1}{C_1} + \frac{1}{C_2} \right)^{-1} \]
For example, for the two 20 µF capacitors:
\[ C_{\text{total series}} = \left( \frac{1}{20} + \frac{1}{20} \right)^{-1} \]
For the two 30 µF capacitors:
\[ C_{\text{total series}} = \left( \frac{1}{30} + \frac{1}{30} \right)^{-1} \]
After calculating the series capacitances, these two results can be combined using the parallel formula, where the total capacitance for capacitors in parallel is simply the sum:
\[ C_{\text{total parallel}} = C_1 + C_2 \]
This type of configuration is commonly analyzed in electrical engineering and physics to understand how different capacitor arrangements affect overall circuit capacitance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdf8e935-b3e4-494c-a44a-cd416c96e337%2F4175daa0-fbbb-4398-9a02-90a5a3fab16b%2F4kjfl4.jpeg&w=3840&q=75)
Transcribed Image Text:The image depicts a circuit diagram featuring two pairs of capacitors. Here's a detailed transcription and explanation for educational purposes:
### Diagram Description:
- **Four Capacitors** are shown connected in a specific configuration.
- **Two Capacitors in Series:**
- The top pair consists of two capacitors each labeled as 20 microfarads (µF). These are connected in series.
- The bottom pair consists of two capacitors each labeled as 30 microfarads (µF). These also are connected in series.
- **Configuration:**
- The two 20 µF capacitors are connected to the left of the diagram.
- The two 30 µF capacitors are connected to the right of the diagram.
- There is a central horizontal line that connects both pairs in parallel.
### Educational Explanation:
The arrangement features two sets of capacitors. Each set is connected in series, meaning the total capacitance for each series can be calculated using the formula:
\[ C_{\text{total series}} = \left( \frac{1}{C_1} + \frac{1}{C_2} \right)^{-1} \]
For example, for the two 20 µF capacitors:
\[ C_{\text{total series}} = \left( \frac{1}{20} + \frac{1}{20} \right)^{-1} \]
For the two 30 µF capacitors:
\[ C_{\text{total series}} = \left( \frac{1}{30} + \frac{1}{30} \right)^{-1} \]
After calculating the series capacitances, these two results can be combined using the parallel formula, where the total capacitance for capacitors in parallel is simply the sum:
\[ C_{\text{total parallel}} = C_1 + C_2 \]
This type of configuration is commonly analyzed in electrical engineering and physics to understand how different capacitor arrangements affect overall circuit capacitance.
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