- 0 L-100mH For the circuit shown, if the initial current in the inductor was zero,...
2.5 QUESTION 8 Find the inductor current in the circuit shown below. Given L = 100 mH, V = 200cos 80t V, and i(0) =0 A IL vL(C) [2.5 sin 80t] A (-2.5 cos 80t] A -2.5 sin 80t] A t2.5 cos 80t] A
As shown in the figure, a simple RL circuit (L = 1H) is powered by a 10 V batterey. The initial current in the circuit is zero. (el-0.367 -0.135, -0.049, e---0.018, e'-0.006) R t-0)0 time (sec) Vc (Volt) MW 6.33 8.65 9.51 9.82 9.94 3 4 5 6 7 8 sec.) a) Calculate the time constant of the RL circuit using the graph given above. O b) Calculate VR(t) the voltage across the resistor R. as a function of time....
An RL circuit is fabricated as shown with an unknown resistor and real inductor. They are connected to a 12.0 V frequency generator that is set to 170. Hz. Two voltages are measured, VCA = 8.69 V and VBC = 6.59 V. What is the time constant of this circuit. (HINT: Use the phasor diagram shown to determine expressions for the phase constant, inductance and internal resistance of the inductor. Current is not shown since it is a series circuit.)...
Please determine the following: a) The initial inductor current i(0−) b) The final inductor current i_final long after the switches have changed. c) A neat circuit schematic for the transient period. d) A differential equation for the inductor current in the circuit shown in part c. e) The solution of the differential equation for t ≥ 0 3. You are given the circuit shown below. The switch was open for a long time before t = 0. lit) 5 H...
Assume that the inductor in this circuit is an ideal (lossless) device, initial current is 0A. At t=0, turn on the switch; at t= 5t, turn off the switch. a-f please 2. Assume that the inductor in this circuit is an ideal (lossless) device, initial current is OA. At t-o, turn on the switch; at t. 5 τ, turn off the switch. (50pts) For 0 s t s5r: switch on a) Find the Thevenin equivalent circuit for the circuit inside...
ON CAPAC Transient RL Circuit Consider the circuit shown in the figure. The resistance of the wire used to make the inductor is negligible compared to the resistors in the circuit. V-140 V, R; -10.Ohms, Ry - 1100 Ohms, and L-200 H RI WWW For this part, assume that switch S has been closed for a long time so that steady currents exist in the circuit. Find (1) the battery current, (2) the current in resistor Ry, and (3) the...
A circuit is constructed with two capacitors and an inductor as shown. The values for the capacitors are: C1 = 426 uF and C2 = 232 pF. The inductance is L = 257 mH. At time t =0, the current through the inductor has its maximum value IL(0) = 139 mA and it has the direction shown. La "What is wo, the resonant frequency of this circuit? 160.95 radians/s Submit 21 What is Q1(t1), the charge on the capacitor C1...
3. Natural response, for ? > 0 of a series R-L-C circuit has R = 1 Ω , L = 1 H and C = 1 F. The initial capacitor voltage is 4 V, and initial inductor current is zero. The series current is i. (i) Draw the time domain circuit. (ii) Draw the Laplace transform domain circuit. (iii) From (ii), determine Io =Io (s) (iv) From (iii), determine ?? = ??(?) for t > 0
4. Obtain equations for the inductor voltage vL(t) and the inductor current iL(t) for the circuit in Figure 4. Based on the equations, determine the final value of the inductor current and the initial value of the inductor voltage. Furthermore, utilize the voltage and current equations to obtain the values for vr(7) and iL(T). What fraction of its final value is iL(T)? What fraction of its initial value is vL(T)? 1 2 L1 2.2mH R1 V1 1kQ OV 5V swn1.54e-5s...
Problem 5 (20 Points): For the circuit shown below, the input is the current source, I(t) and the output is eo. 1). Find the state variable model. Take ec and IL as state variables (refer notes from Chapter-6). 2). Apply Laplace Transform on the state variable model (from part-1) and show that the transform of the output (eo) is given by the expression: 사스 ; if the initial conditions, L(0) and ec(0) are known. Note: ec(0)-eo(0) R L R L...