For each resistor in the circuit shown below, determine the voltage drop across from it, and the power dissipated in it for all time. Roi resistor over all time. t = 0 ( 10 µF 9 V

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**Problem Statement:**

For each resistor in the circuit shown below, determine the voltage drop across it, and the power dissipated in it for all time. Roughly sketch the plot for the power dissipation in each resistor over all time.

**Circuit Description:**

The circuit consists of the following components:
- A 9V battery.
- A resistor with a resistance of 2Ω.
- A resistor with a resistance of 4Ω.
- A capacitor with a capacitance of 10μF.
- A switch initially open at \( t = 0 \).

**Explanation of the Circuit Diagram:**
- The 9V battery is connected in series with a 2Ω resistor.
- In parallel with the 4Ω resistor, a switch and a capacitor (10μF) are connected.

**Task:**
- Calculate the voltage drop across the 2Ω and 4Ω resistors.
- Determine the power dissipated in each resistor over time.
- Sketch the plot for power dissipation in each resistor for all time.

**Note:**
- Consider the behavior of the circuit before and after the switch is closed at \( t = 0 \).
Transcribed Image Text:**Problem Statement:** For each resistor in the circuit shown below, determine the voltage drop across it, and the power dissipated in it for all time. Roughly sketch the plot for the power dissipation in each resistor over all time. **Circuit Description:** The circuit consists of the following components: - A 9V battery. - A resistor with a resistance of 2Ω. - A resistor with a resistance of 4Ω. - A capacitor with a capacitance of 10μF. - A switch initially open at \( t = 0 \). **Explanation of the Circuit Diagram:** - The 9V battery is connected in series with a 2Ω resistor. - In parallel with the 4Ω resistor, a switch and a capacitor (10μF) are connected. **Task:** - Calculate the voltage drop across the 2Ω and 4Ω resistors. - Determine the power dissipated in each resistor over time. - Sketch the plot for power dissipation in each resistor for all time. **Note:** - Consider the behavior of the circuit before and after the switch is closed at \( t = 0 \).
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