The circuit in the figure below has been connected for a long time. Let R1 = 8.60 Ω and R2 = 4.20 Ω. (a) What is the potential difference across the capacitor? (b) If the battery is disconnected from the circuit, over what time interval does the capacitor discharge to one-tenth its initial voltage?

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Chapter1: Units, Trigonometry. And Vectors
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The circuit in the figure below has been connected for a long time. Let R1 = 8.60 Ω and R2 = 4.20 Ω.

(a) What is the potential difference across the capacitor?


(b) If the battery is disconnected from the circuit, over what time interval does the capacitor discharge to one-tenth its initial voltage?

The image depicts an electrical circuit diagram featuring a combination of resistors and a capacitor. Here's a detailed explanation:

- **Voltage Source:** The circuit is powered by a 10.0 V battery (indicated on the left).

- **Resistors:**
  - **R1:** Located on the top right segment of the circuit, its resistance value is not specified.
  - **1.00 Ω Resistor:** Positioned on the top left of the circuit.
  - **R2:** Located on the lower left segment, its resistance value is not specified.
  - **2.00 Ω Resistor:** Positioned on the lower right of the circuit.

- **Capacitor:** A 1.00 µF capacitor is connected between the two diagonal nodes within the diamond-shaped section of the circuit.

- **Configuration:** The components form a bridge-like configuration, often seen in Wheatstone bridge circuits, but here incorporating a capacitor. The resistors are in a diamond shape with a capacitor in the middle.

This circuit setup is often used in educational contexts to illustrate mixed resistor-capacitor networks and analyze them using Kirchhoff's rules or other circuit analysis techniques.
Transcribed Image Text:The image depicts an electrical circuit diagram featuring a combination of resistors and a capacitor. Here's a detailed explanation: - **Voltage Source:** The circuit is powered by a 10.0 V battery (indicated on the left). - **Resistors:** - **R1:** Located on the top right segment of the circuit, its resistance value is not specified. - **1.00 Ω Resistor:** Positioned on the top left of the circuit. - **R2:** Located on the lower left segment, its resistance value is not specified. - **2.00 Ω Resistor:** Positioned on the lower right of the circuit. - **Capacitor:** A 1.00 µF capacitor is connected between the two diagonal nodes within the diamond-shaped section of the circuit. - **Configuration:** The components form a bridge-like configuration, often seen in Wheatstone bridge circuits, but here incorporating a capacitor. The resistors are in a diamond shape with a capacitor in the middle. This circuit setup is often used in educational contexts to illustrate mixed resistor-capacitor networks and analyze them using Kirchhoff's rules or other circuit analysis techniques.
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