The figure shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (2). The voltage drop across the capacitor is Q/C, where Q is the charge (in coulombs), so in this case we use the Kirchhoff's Law.+ = E (t)But I = dQ/dt, so we have the formula below.dQR-dt= E (t)Suppose the resistance is 20 n, the capacitance is 0.01 F, and a battery gives a constant voltage of 100 V.(a) Draw a direction field for this differential equation. (Do this on paper. Your instructor may ask you to turn in this sketch.)(b) What is the limiting value, Q of the charge?Q =(c) What is an equilibrium solution?Q =(d) If the initial charge is Q(0) = 0 C, use the direction field to sketch the solution curve. (Do this on paper. Your instructor may ask you to turn in this sketch.)(e) If the initial charge is Q(0) = 0 C, use Euler's method with step size 0.1 to estimate the charge, Q after half a second, Q(0.5). (Round your answer to the nearest hundredth.)Q(0.5) =

Answered: Image /qna-images/answer/f326e254-7580-491d-bad0-18a9e056efd2.jpg

The figure shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (0). The voltage drop across the capacitor is Q/C, where Q is the charge (in coulombs), so in this case we use the Kirchhoff's Law. RI +8 - E(0) But I= dQ/dt, so we have the formula below. Suppose the resistance is 20 , the capacitance is 0.01 F, and a battery gives a constant voltage of 100 V.

The figure shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (0). The voltage drop across the capacitor is Q/C, where Q is the charge (in coulombs), so in this case we use the Kirchhoff's Law. RI +8 - E(0) But I= dQ/dt, so we have the formula below. Suppose the resistance is 20 , the capacitance is 0.01 F, and a battery gives a constant voltage of 100 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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