The Figure Below Shows A Circult Containing An Electromotive Force A Capacitor With A Capacitance Of C Farads F And 1 (48.92 KiB) Viewed 15 times
The Figure Below Shows A Circult Containing An Electromotive Force A Capacitor With A Capacitance Of C Farads F And 2 (28.64 KiB) Viewed 15 times
The Figure Below Shows A Circult Containing An Electromotive Force A Capacitor With A Capacitance Of C Farads F And 3 (36.22 KiB) Viewed 15 times
The figure below shows a circult containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (). The voltage drop across the capacitor is Q/C, where Q is the charge (in coulombs, C), so in this case Kirchhoff's law gives But/- dQ de RI+ -E(t). so we have R dQ + Suppose the resistance is 50, the capacitance is 0.05 F, and a battery gives a constant voltage of 80 V. 41 ( (a) Draw a direction field for this differential equation. Q
1 (b) What is the limiting value of the charge (in C)? (c) Is there an equilibrium solution? Yes No (d) If the initial charge is Q(0) - 0 C, use the direction field to sketch the solution curve.
(d) If the initial charge is Q(0) - 0 C, use the direction field to sketch the solution curve. 1 2 3 5
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