62. (a) In the circuit below, suppose I,-4-M = 1 H and RL-1 ?. Assume the...
Question 4 For the shown figure, assume that L1=3H, L2=4H, M=1H, i1(T)=1A and i2(T)=2A. M Primary Secondary + + A 12(t) i, (t) A v, (t) v (t) BO L L. Answer the following questions: a. Calculate the coupling coefficient (K)? b. Calculate the stored energy at t=T when the dot at position A? C. Calculate the stored energy at t=T when the dot at position B?
Given a RL circuit as in Figure Q2 (a) with input for the circuit is vi(t) and output is vo(t). L1 il(t) R1 il(t) + + vi(t) L2 R2 v.(t) Figure Q2 (a) Show that the RL circuit in Figure Q2 (a) can be represented by the following state-space representation: di,, (t) -(R+R) L dt di,, (t) dt R₂ R L, 1.t -R, L. (1) L2 8-6 L, V. (t) L v.(t)=[R, R)
The mutually coupled inductances in (Figure 1) have L1-1H. L2 2 H, and M-1H. Furthermore h(t) sin(10t) A and 22 (t) = 0.5 sin( 10t) A. Part A Find an expression for vi(t). The arguments of the sine functions are in radians Express your answer in terms of t vec ひ Figure 1 of 1 Submit uest Ans Part B ii(t) /2(0) Find an expression for v2 (t). The arguments of the sine functions are in radians Express your answer...
Problem #6 m Di ZR S T In the following circuit, L1= 5 mH, L2= 2 mH, R= 9.9 Ohm, C= 10 uF. Find the average power delivered by the ideal current source if ig=50cos(10000t) mA. (Unit: W) Submit Answer Tries 0/3
Question 1 For the circuit shown in figure 1; i. Find the transfer impedance function, H(s) = Vds(s) Find the poles and zeros for this transfer function and plot them on the s - Find the magnitude of the transfer function in decibels. [10] s-plane [8] ii [3] 2H 20 20 2 H Figure Question 2 The hybrid parameters (h-parameters) for the two -port network circuit in figure 2 are; 5 h=2 0.05 Find the equivalent impedance parameters (z-parameters) Find...
The Natural Response of an RL Circuit In summary, to find the time constant of an RL circuit, find the Thevenin equivalent resistance se Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. The natural response of an RL...
Consider a causal LTI system implemented as the RL circuit shown below. In this circuit, v(t) is the input voltage. The current i(t) is considered the system output. i(t) R L wwwm v(t) (a) Find the differential equation relating v(t) and i(t). (b) Determine the frequency response of this system (H(jw)). (c) Determine the output it) if v(t) = sin(t), R=10 and L=1. (d) Sketch Bode plot of H (jw) for R=10 and L=1. (e) Determine if the system is...
-There is no energy stored in the circuit shown at the time the switch is opened. if k (coupling coefficient) = 0.5, L1= 4H, L2 = 9H, Ro =12 a) What is the mutual inductance of the circuit? b)If ig = -2e-t - 2e-2t - 2 and i2 = 2e-t - 2e-2t , Find the expression for the voltage across the current source v1 using KVL. We were unable to transcribe this imaget-o V
Find the Thevenin equivalent circuit for the circuit shown below. Draw the equivalent circuit along with the load impedance. V 10 /0° V, w 1000 rad/s. Calculate the current through and the voltage across the load resistor. (30 pts) L1 1 mH R1 L2 500 Q 1 mH V C1 RL 100 μF 1.5 kQ
R i(t) i2() 1100) L2 In the above circuit, 11-10mH, L2-5 mH, R = 2kQ, and v(t) = 61(t) V, where (10 pts) A. DERIVE an expression for i1 (t) in terms of L1, L2 and i(t). SHOW YOUR WORK. {1, t > 0 u(t) = t0, t < 0. 0, t<0