%19 11. YO ENG SAJAD 1 (٩:٤٣ ٥ ۲۸ من ۲۸ اليوم عند 9:43 م 5.5 التاريخ How لوطنوع D5.1. Given the vector current density J=lopzap -up cos² O ap mA/m: ①Gind the current density at P(p=3,030,2=2): determine the total amet flowing out word through the circular band p=3,020 <2 Ans: 180ap-9ap mA/m²; 3.26 A = ||| O *

2) Sketch the Nyqpoiet plot by hand Sor the following systeon, choosing the contour to be to the right of the singularity the jwn axis Nert , wsing on the Nuquist criterion determine the mge of K z0 for which the sustemn is sca ble. Then, redo the Nuguist plot, this time Choosing the contour to be to the left of the imaryi mary the singularity avris. Again; on Osing Phe Ny quist criterion check the of Kz0 for which the sustem is range stable. Are the conswers the same? Should then be K G(s) = R Csra)

Three voltages represented by e = 20sinwt; ez = 30sin (wt - and ez = 40sin (wt – and draw the circuit. Find an expression for the resultant voltage. Represent them by appropriate vectors.

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