Question

please answer C,D,E

Consider the electrical circuit shown in Fig.1. Assume switch S remain at position 1 for longer time and at t = 0 the switch is moved to position 2 from position 1. t=0 4 ΚΩ 1S v(t) i(t) m А 2 12 V 100 uF 8 ΚΩ Fig.3 Diagram for Q2 a) What is the initial capacitor voltage v(0-), before it move to position 2 [20 marks) b) Soon after the switch is moved to position 2 (for t > 0) apply the Kirchhoff current law (KCL) to node A, and generate a differential equation for the node A voltage V(t) [30 points) c) What is the value of the circuit time constant t [10 points) d) What is the steady state voltage of the capacitor (v()) when S is at position 2 [10 points) e) Assume the node voltage solution (v(t)) of the form: v(t) = K4+Kze 7 and find values of K, and Kz (t > 0) [30 marks]

Answer 1

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d When too, 0 - لیا Capacitor opened. there in No voltage At taa At Capacitor [2] = 0 ... Vita . kit k, е Ky=0, K2=8, q=0.26 sec