In the figure the ideal battery has emf g= 64 V. the resistances are R= 46 kQ and R2 = 11 kQ, and the capacitor is uncharged. When the switch is closed at timet= 0, what is the current in (a) resistance 1 and (b) resistance 2? (c) A long time later, what is the current in resistance 2? (a) Number Units (b) Number Units (c) Number Units

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Statement:**

In the figure, the ideal battery has an emf \( \mathcal{E} = 64 \, \text{V} \). The resistances are \( R_1 = 46 \, \text{k}\Omega \) and \( R_2 = 11 \, \text{k}\Omega \), and the capacitor is initially uncharged. When the switch is closed at time \( t = 0 \), what is the current in:

(a) Resistance 1?

(b) Resistance 2?

(c) A long time later, what is the current in resistance 2?

**Diagram Explanation:**

- The circuit consists of a battery with an emf \( \mathcal{E} \), a switch, two resistors \( R_1 \) and \( R_2 \), and a capacitor \( C \).
- Initially, the capacitor is uncharged, and the switch is open.
- When the switch is closed at \( t = 0 \), the circuit is completed, and current begins to flow through the resistors and starts charging the capacitor.

**Answer Fields:**

(a) Current in Resistance 1:  
Number: [_______] Units: [Select from dropdown]

(b) Current in Resistance 2:  
Number: [_______] Units: [Select from dropdown]

(c) Current in Resistance 2 (long time later):  
Number: [_______] Units: [Select from dropdown]
Transcribed Image Text:**Problem Statement:** In the figure, the ideal battery has an emf \( \mathcal{E} = 64 \, \text{V} \). The resistances are \( R_1 = 46 \, \text{k}\Omega \) and \( R_2 = 11 \, \text{k}\Omega \), and the capacitor is initially uncharged. When the switch is closed at time \( t = 0 \), what is the current in: (a) Resistance 1? (b) Resistance 2? (c) A long time later, what is the current in resistance 2? **Diagram Explanation:** - The circuit consists of a battery with an emf \( \mathcal{E} \), a switch, two resistors \( R_1 \) and \( R_2 \), and a capacitor \( C \). - Initially, the capacitor is uncharged, and the switch is open. - When the switch is closed at \( t = 0 \), the circuit is completed, and current begins to flow through the resistors and starts charging the capacitor. **Answer Fields:** (a) Current in Resistance 1: Number: [_______] Units: [Select from dropdown] (b) Current in Resistance 2: Number: [_______] Units: [Select from dropdown] (c) Current in Resistance 2 (long time later): Number: [_______] Units: [Select from dropdown]
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