For the circuit shown in figure 4 Calculate the value of V_{L1} , V_{R3} ?...........

Consider a circuit that contains two switches as shown in Figure Q4. The switch on the right-hand side can be connected to nodes S₁ or S₂. The two switches operate as follows: ➤ If this right-hand switch is connected to node S₁, the switch labelled S3 is in the open position. If the right-hand switch is connected to node S₂, the switch labelled S3 is in the closed position. Both switches switch instantaneously and simultaneously. R = 20 ΚΩ C = 0.25 nF HE +21 S3 L=1 mH R, = 20 ΚΩ S₁ 1S₂ AS = SA iL Figure Q4 a) After being connected to node S₂ for a very long time, the right-hand switch is connected to node S₁ at t = 0. Derive a differential equation for the current through the inductor iz(t) and find an expression for iz(t) for all times > 0. Use numerical values for all known circuit elements ONLY in the final expression of iz(t) b) Following the events outlined in part a), the right-hand switch is connected to node S₂ at t = 5 µs. Derive a differential equation for the current through…

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Resistor and RC Circuits  Problem 12:   Consider the circuit in the figure, with the current directions defined as shown. There are four resistors in this circuit (R1, R2, R3, and R4) and four batteries with emfs ℰ1 = 15.5 V, ℰ2 = 3.5 V, ℰ3 = 14 V, and ℰ4 = 27.3 V, each with internal resistance given by ri as marked in the figure. Part (a)  Calculate the current I1 in amps.  Part (b)  Calculate the current I2 in amps. Part (c)  Calculate the current I3 in amps.