**Series RC Circuit Analysis**Consider a series RC circuit as shown in the figure for which \( R = 8.00 \, \text{M}\Omega \), \( C = 1.00 \, \mu\text{F} \), and \( \mathcal{E} = 27.0 \, \text{V} \).The diagram illustrates a simple series RC circuit. It features a capacitor \( C \), a resistor \( R \), a switch \( S \), and a voltage source \( \mathcal{E} \). The circuit is initially open at the switch.### Tasks:**(a)** Calculate the time constant of the circuit.- Formula: \( \tau = R \times C \)- Time Constant \( (\tau) \) in seconds.**(b)** Determine the maximum charge on the capacitor after the switch is closed.- Formula: \( Q = C \times \mathcal{E} \)- Maximum Charge \( (Q) \) in microcoulombs \( (\mu\text{C}) \).**(c)** Find the current in the resistor 10.0 seconds after the switch is closed.- Formula: \( I(t) = \frac{\mathcal{E}}{R} \times e^{-\frac{t}{\tau}} \)- Current \( (I) \) in microamps \( (\mu\text{A}) \).This analysis helps in understanding how an RC circuit charges and discharges, which is crucial for applications like filtering, timing, and waveform shaping.

Given Data: The resistor in a circuit is, R=8.00 MΩ The capacitance is, C=1.00 μF The voltage is,…

(a) Find the time constant of the circuit. (b) What is 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. HA

(a) Find the time constant of the circuit. (b) What is 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. HA

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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