**Problem 19.56**The RC circuit (Figure 1) has \( R = 7.8 \, \text{k}\Omega \) and \( C = 2.5 \, \mu\text{F} \). The capacitor is at voltage \( V_0 \) at \( t = 0 \), when the switch is closed.**Part A**How long does it take the capacitor to discharge to 0.35% of its initial voltage?Express your answer with the appropriate units.Input box: \( t = \, [\text{text input field}] \, [\text{Units: s}] \)User Input: \( t = 0.1347 \, \text{s} \)Feedback: - Status: Incorrect; Try Again; 8 attempts remaining**Circuit Diagram (Figure 1)**A simple RC circuit diagram is provided, consisting of:- A capacitor labeled \( C \)- A resistor labeled \( R \)- A switch labeled \( S \)- Initial voltage source labeled \( V_0 \)The circuit shows a series connection of the resistor, capacitor, and switch connected across the voltage source. The switch \( S \) is in position such that when closed, it initiates the discharge process of the capacitor through the resistor.

Time constant = RC = 7.8×103×2.5×10-6 = 0.0195 Now, Q = Q0 e-t/0.0195 0.35/100 = e-t/0.0195 et/0.0195 = 285.71 Take ln both sides t/0.0195 = ln(285.71) t = 0.1103 s

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Constants The RC circuit of (Eigure 1) has R = 7.8 kl and C = 2.5 µF. The capacitor is at voltage Vo at t -0, when the switch is closed. Part A How long does it take the capacitor to discharge to 0.35% of its initial voltage? Express your answer with the appropriate units. t= 0.1347 Submit Previous Answers Request Answer X Incorrect; Try Again; 8 attempts remaining < Return to Assignment Provide Feedback Figure 1 of 1 Vo: C S

Constants The RC circuit of (Eigure 1) has R = 7.8 kl and C = 2.5 µF. The capacitor is at voltage Vo at t -0, when the switch is closed. Part A How long does it take the capacitor to discharge to 0.35% of its initial voltage? Express your answer with the appropriate units. t= 0.1347 Submit Previous Answers Request Answer X Incorrect; Try Again; 8 attempts remaining < Return to Assignment Provide Feedback Figure 1 of 1 Vo: C S

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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