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) =

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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.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter29: Direct Current (dc) Circuits

Section: Chapter Questions

Problem 72PQ: A capacitor with initial charge Q0 is connected across a resistor R at time t = 0. The separation...

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