**Series RC Circuit Analysis**Consider a series RC circuit as depicted in the diagram. The circuit consists of the following components:- Resistor \( R = 3.30 \, \text{M}\Omega \)- Capacitor \( C = 5.80 \, \mu\text{F} \)- Battery with emf \( \mathcal{E} = 28.0 \, \text{V} \)### Diagram Explanation:- The diagram illustrates a series circuit with a switch \( S \), resistor \( R \), and capacitor \( C \). The battery is connected to supply voltage \( \mathcal{E} \).- The switch \( S \) controls the flow of current through the circuit.### Questions:**(a)** Find the time constant of the circuit.\[ \text{Time Constant} = \_\_ \text{s} \]**(b)** Find the maximum charge on the capacitor after the switch is thrown closed.\[ \text{Maximum Charge} = \_\_ \mu\text{C} \]**(c)** Find the current in the resistor 10.0 s after the switch is closed.\[ \text{Current} = \_\_ \mu\text{A} \]To solve these problems, use the following formulas:1. **Time Constant (\(\tau\))**: \[ \tau = R \times C \]2. **Maximum Charge (\(Q_{\text{max}}\))**: \[ Q_{\text{max}} = C \times \mathcal{E} \]3. **Current through the Resistor (\(I(t)\))** at time \( t \): \[ I(t) = \left(\frac{\mathcal{E}}{R}\right) \times e^{-t/\tau} \]These equations will allow you to calculate the desired parameters for the RC circuit.

Answered: Image /qna-images/answer/9be79cb3-1d87-433f-a089-03d46916da65.jpg

Consider a series RC circuit as in the figure below for which R = 3.30 MQ, C = 5.80 μF, and E S S + E R www (a) Find the time constant of the circuit. (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 = 28.0 V.

Consider a series RC circuit as in the figure below for which R = 3.30 MQ, C = 5.80 μF, and E S S + E R www (a) Find the time constant of the circuit. (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 = 28.0 V.

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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