**Series RC Circuit Analysis**In the provided series RC circuit, the values of the components are as follows: - Resistor, \( R = 6.50 \, \text{M}\Omega \)- Capacitor, \( C = 6.70 \, \mu\text{F} \)- Electromotive force, \( \mathcal{E} = 25.5 \, \text{V} \)The circuit consists of a capacitor \( C \), a resistor \( R \), a switch \( S \), and a battery providing a voltage \( \mathcal{E} \).**Tasks:**1. **Find the time constant of the circuit:** \[ \tau = RC \] The time constant, \(\tau\), represents the time required for the charge on the capacitor to reach approximately 63.2% of its final value after the switch is closed. - **Blank for answer:** \(\underline{\hspace{3cm}}\) s2. **Find the maximum charge on the capacitor after the switch is thrown closed:** \[ Q_{\text{max}} = C \times \mathcal{E} \] The maximum charge, \(Q_{\text{max}}\), is the maximum charge accumulated on the capacitor plates. - **Blank for answer:** \(\underline{\hspace{3cm}}\) \(\mu\text{C}\)3. **Find the current in the resistor 10.0 s after the switch is closed:** \[ I(t) = \frac{\mathcal{E}}{R} e^{-t/RC} \] The current, \(I(t)\), is the rate of charge flow through the resistor at time \(t\). - **Blank for answer:** \(\underline{\hspace{3cm}}\) \(\mu\text{A}\)The circuit diagram shows a capacitor, a resistor, and a switch in series connected to a voltage source. The circuit forms a loop, illustrating the fundamental layout for analyzing time-varying charge and current characteristics in RC circuits.

Answered: Image /qna-images/answer/d84987c9-5b68-4672-8a30-833bfe9c2e30.jpg

Consider a series RC circuit as in the figure below for which R = 6.50 MQ, C = 6.70 μF, and E = 25.5 V. E + R (a) Find the time constant of the circuit. S (b) Find the maximum charge on the capacitor after the switch is thrown closed. μC (c) Find the current in the resistor 10.0 s after the switch is closed. μA

Consider a series RC circuit as in the figure below for which R = 6.50 MQ, C = 6.70 μF, and E = 25.5 V. E + R (a) Find the time constant of the circuit. S (b) Find the maximum charge on the capacitor after the switch is thrown closed. μC (c) Find the current in the resistor 10.0 s after the switch is closed. μA

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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