For the circuit shown in the figure, V = 60 V, C = 20 µF, and R = 0.1O MO. Initially the switch S is open and the capacitor is uncharged. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor 8.0 s after closing the switch?

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For the circuit shown in the figure, \( V = 60 \, \text{V} \), \( C = 20 \, \mu\text{F} \), and \( R = 0.10 \, \text{M}\Omega \). Initially, the switch \( S \) is open and the capacitor is uncharged. The switch is then closed at time \( t = 0.00 \, \text{s} \). What is the charge on the capacitor 8.0 s after closing the switch?

**Hint:** Straightforward use of the charge vs. time expression. Standard units during the calculation!

- \( 1600 \, \mu\text{C} \)
- \( 1200 \, \mu\text{C} \)
- \( 1400 \, \mu\text{C} \)
- \( 1900 \, \mu\text{C} \)
- \( 940 \, \mu\text{C} \)

**Diagram Explanation:**

The diagram illustrates a simple RC circuit consisting of a voltage source \( V \), a switch \( S \), a resistor \( R \), and a capacitor \( C \) all connected in series. When the switch is closed, current flows through the circuit, allowing the capacitor to charge over time. The problem involves determining the charge on the capacitor at a specific time after the switch has been closed.
Transcribed Image Text:For the circuit shown in the figure, \( V = 60 \, \text{V} \), \( C = 20 \, \mu\text{F} \), and \( R = 0.10 \, \text{M}\Omega \). Initially, the switch \( S \) is open and the capacitor is uncharged. The switch is then closed at time \( t = 0.00 \, \text{s} \). What is the charge on the capacitor 8.0 s after closing the switch? **Hint:** Straightforward use of the charge vs. time expression. Standard units during the calculation! - \( 1600 \, \mu\text{C} \) - \( 1200 \, \mu\text{C} \) - \( 1400 \, \mu\text{C} \) - \( 1900 \, \mu\text{C} \) - \( 940 \, \mu\text{C} \) **Diagram Explanation:** The diagram illustrates a simple RC circuit consisting of a voltage source \( V \), a switch \( S \), a resistor \( R \), and a capacitor \( C \) all connected in series. When the switch is closed, current flows through the circuit, allowing the capacitor to charge over time. The problem involves determining the charge on the capacitor at a specific time after the switch has been closed.
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