How much charge is stored in the 4.0-uF capacitor? 9.0 μF a 12.0 με 4.0 με 2.0 με ІННЕ HE 3.0 μF dr b
How much charge is stored in the 4.0-uF capacitor? 9.0 μF a 12.0 με 4.0 με 2.0 με ІННЕ HE 3.0 μF dr b
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![**Title: Calculating Charge in a Capacitor**
**Question:**
How much charge is stored in the 4.0-μF capacitor?
**Diagram Explanation:**
The image shows an electrical circuit with five capacitors connected to a power source of 30 V. The capacitors are arranged as follows:
- A 9.0 μF capacitor is connected in series with a parallel configuration of three capacitors: 12.0 μF, 4.0 μF, and 2.0 μF.
- Below, there is a single 3.0 μF capacitor connected in parallel with the above configuration.
- The connections are labeled as points 'a' and 'b' at the ends of the 12.0 μF, 4.0 μF, and 2.0 μF capacitors.
**Options:**
- 132 μC
- 12 μC
**Objective:**
Calculate the charge stored specifically in the 4.0-μF capacitor within this circuit.
---
To find the charge stored in a specific capacitor in a circuit, you use the formula:
\[ Q = C \times V \]
where \( Q \) is the charge in coulombs (C), \( C \) is the capacitance in farads (F), and \( V \) is the voltage across the capacitor in volts (V).
In this setup, you'll need to calculate the equivalent capacitance and distribution of voltage across the parallel and series components to find the charge on the 4.0 μF capacitor.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8daeabfb-08fc-4e08-b5f3-009f3913f10d%2F2ed59020-1b05-40ed-a051-caa132886a07%2Fulvapp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Calculating Charge in a Capacitor**
**Question:**
How much charge is stored in the 4.0-μF capacitor?
**Diagram Explanation:**
The image shows an electrical circuit with five capacitors connected to a power source of 30 V. The capacitors are arranged as follows:
- A 9.0 μF capacitor is connected in series with a parallel configuration of three capacitors: 12.0 μF, 4.0 μF, and 2.0 μF.
- Below, there is a single 3.0 μF capacitor connected in parallel with the above configuration.
- The connections are labeled as points 'a' and 'b' at the ends of the 12.0 μF, 4.0 μF, and 2.0 μF capacitors.
**Options:**
- 132 μC
- 12 μC
**Objective:**
Calculate the charge stored specifically in the 4.0-μF capacitor within this circuit.
---
To find the charge stored in a specific capacitor in a circuit, you use the formula:
\[ Q = C \times V \]
where \( Q \) is the charge in coulombs (C), \( C \) is the capacitance in farads (F), and \( V \) is the voltage across the capacitor in volts (V).
In this setup, you'll need to calculate the equivalent capacitance and distribution of voltage across the parallel and series components to find the charge on the 4.0 μF capacitor.
Transcribed Image Text:The image depicts a simple electrical circuit diagram with a capacitor and a voltage source.
**Diagram Explanation:**
- The circuit includes a capacitor with a capacitance of 3.0 microfarads (µF).
- The circuit is connected to a voltage source of 30 volts (V).
**Question Choices:**
Select the correct charge on the capacitor from the following options:
- ○ 132 µC
- ○ 12 µC
- ○ 120 µC
- ○ 22 µC
- ○ 40 µC
- ○ 396 µC
- ○ 36 µC
Use the formula \( Q = C \times V \) to find the charge (Q) on the capacitor, where \( C \) is the capacitance and \( V \) is the voltage.
Expert Solution
Step 1
Capacitors are electrical devices that store energy in the form of electric charges. Separated by a distance, it consists of two electrical conductors. A vacuum or dielectric may fill the space between the conductors.
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