**RC Circuit Analysis**Consider a series RC circuit as shown in the figure, where the components have the following values:- Resistance, \( R = 6.00 \, \text{M}\Omega \)- Capacitance, \( C = 1.00 \, \mu\text{F} \)- Electromotive force, \( \varepsilon = 32.0 \, \text{V} \)### Tasks:(a) **Find the time constant of the circuit.**- Time constant (\( \tau \)) is calculated using the formula \( \tau = RC \).(b) **What is the maximum charge on the capacitor after the switch is thrown closed?**- Maximum charge (\( Q \)) on a fully charged capacitor is found using \( Q = C\varepsilon \).(c) **Find the current in the resistor 10.0 s after the switch is closed.**- The current (\( I \)) in the resistor can be determined using the exponential decay formula for current in an RC circuit: \[ I(t) = \frac{\varepsilon}{R} e^{-t/RC} \] Evaluate this expression at \( t = 10.0 \, \text{s} \).These calculations assist in understanding the behavior of the circuit over time, providing insights into the charging and discharging processes within the circuit.

Given data: The resistance, R=6 MΩ=6×106 Ω The capacitance, C=1 μF=1×10-6 F ε=32 V

Consider a series RC circuit as in the figure below for which R 6.00 MQ, C = 1.00 μF, and ε = 32.0 V. R E (a) Find the time constant of the circuit. S (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

Consider a series RC circuit as in the figure below for which R 6.00 MQ, C = 1.00 μF, and ε = 32.0 V. R E (a) Find the time constant of the circuit. S (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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