(b) In an electrical circuit shown in Figure 2.1 below, when a capacitor, C, is being charged through a resistance, R, b

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(b) In an electrical circuit shown in Figure 2.1 below, when a capacitor, C, is being charged through a resistance, R, b

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B In An Electrical Circuit Shown In Figure 2 1 Below When A Capacitor C Is Being Charged Through A Resistance R B 1
B In An Electrical Circuit Shown In Figure 2 1 Below When A Capacitor C Is Being Charged Through A Resistance R B 1 (52.2 KiB) Viewed 26 times
(b) In an electrical circuit shown in Figure 2.1 below, when a capacitor, C, is being charged through a resistance, R, by a battery which supplies a constant voltage, Eſt), the instantaneous charge, Q, on the capacitor satisfies the differential equation: R499 = E(1) dt C Siswitch) 강 с Figure 2.1 Electrical Circuit Given that the generator having an electromotive force of E(t)=120sint Volt is connected in series with a 6 Ohm resistor and a capacitor of 3 Farad. The switch is closed at time i=0 with a step size of h=0.5. i. Find the approximated value of the instantaneous charge, Q, on the capacitor, from 1 = 0 to 1 =1.0 by using Ralston's second order Runge- Kutta Method. Perform the calculation up to four decimal places. (13 marks) ii. If someone repeats the computation with h=0.55 to approximate (1.0), will the approximation value be closer to the actual solution? Justify your answer. (2 marks)
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