The figure shows a simple RC circuit consisting of a 100.0-V battery in series with a 10.0-μF capacitor and a resistor. Initially, the switch S is open and the capacitor is uncharged. Two seconds after the switch is closed, the voltage across the resistor is 37 V. S www 100.0 V 10.0 uF Determine the numerical value of the resistance R. 0,0.3702 O 2.0 × 105Q Ο 2.70 Ω Ο 4.3 × 105Ω

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter18: Direct-Current Circuits
Section: Chapter Questions
Problem 10CQ: An uncharged series RC circuit is to be connected across a battery. For each of the following...
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The figure shows a simple RC circuit consisting of a 100.0-V battery in series with a 10.0-μF capacitor and a resistor. Initially, the switch S is open and the capacitor is uncharged. Two seconds after the switch is closed, the voltage across the resistor is 37 V.

**Diagram Explanation:**

- The circuit contains a switch (S), a battery with 100.0 V, a resistor (R), and a capacitor with a capacitance of 10.0 μF.
- The circuit is initially open, meaning no current flows through.
- Upon closing the switch, current begins to flow, charging the capacitor.

**Question:**

Determine the numerical value of the resistance R.

- Options:
  - 0.37 Ω
  - 2.0 × 10⁵ Ω
  - 2.70 Ω
  - 4.3 × 10⁵ Ω
  - 5.0 × 10⁴ Ω
Transcribed Image Text:The figure shows a simple RC circuit consisting of a 100.0-V battery in series with a 10.0-μF capacitor and a resistor. Initially, the switch S is open and the capacitor is uncharged. Two seconds after the switch is closed, the voltage across the resistor is 37 V. **Diagram Explanation:** - The circuit contains a switch (S), a battery with 100.0 V, a resistor (R), and a capacitor with a capacitance of 10.0 μF. - The circuit is initially open, meaning no current flows through. - Upon closing the switch, current begins to flow, charging the capacitor. **Question:** Determine the numerical value of the resistance R. - Options: - 0.37 Ω - 2.0 × 10⁵ Ω - 2.70 Ω - 4.3 × 10⁵ Ω - 5.0 × 10⁴ Ω
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