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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
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 (Q). 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 _Q = R1 + C E(t). But I = dQ/dt, so we have Q L = R dt + C Q E(t). Suppose the resistance is 5 Q, the capacitance is 0.05 F, and a battery gives a constant voltage of 80 V. (b) What is the limiting value of the charge? 16e(-4i) x Your answer cannot be understood or graded. More Information C (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. (Round your answer to two decimal places.) Q(0.5) = 2.77 X C
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