FIGURE 13.51 Find Zin(j omega) for the network of Fig. 13.52. (b) Plot Zin over
ID: 1933241 • Letter: F
Question
FIGURE 13.51 Find Zin(j omega) for the network of Fig. 13.52. (b) Plot Zin over the frequency range of 0 omega 1000rad/s. (c) Find Zin(j omega) for omega = 50 rad/s. FIGURE 13.52 For the coupled coils of Fig. 13.53, L1 = L2 = 10H, and M is equal to its maximum possible value. (a) Compute the coupling coefficient k. (b) Calculate the energy stored in the magnetic field linking the two coils at t = 200 ms if i1 = 10 cos 4t mA and i2 = 2 cos 4t mA. With regard to the coupled inductors shown in Fig. 13.53, L1 = 10 mH, L2 = 5 mH, and k = 0.75. (a) Compute M. (b) If i1 = 100 sin 40t mA, and i2 = 0, compute the energy stored in each coil and in the magnetic field coupling the two inductors at t = 2 ms. (c) Repeat part (b) if i2 is set to 75 cos 40t mA. For the circuit of Fig. 13.54, L1 = 2 mH, L2 = 8 mH, and v1 = cos 8t V. (a) Obtain an equation for v2(t). (b) Plot V2 as a function of k. (c) Plot the phase angle (in degrees) of V2 as a function of k. FIGURE 13.53 FIGURE 13.54Explanation / Answer
This is what I got when I solve this problem
a. M=5.3[mH]
b. w=0.32[J]
c. w=17.64[mJ]
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