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1. (a) (i) State the Cauchy-Riemann equations. (ii) Verify...

1. (a) (i) State the Cauchy-Riemann equations. (ii) Verify them for the function f : C C defined by 4v/2. (10) (b) (i) State the definition of a bounded set in C. (ii) State the definition of a compact set in C. (10) (c) Find the radius of convergence of the following series: 3 zn 3n + ...

Find the current ix in the circuit 10 9 IH MW TIT 14 2...

Find the current ix in the circuit 10 9 IH MW TIT 14 20 cos 4r V 0.1 F - 24, 05H Question 2 Find the current hi(t)fort> 0 5kf2 1= 0 60 mA + 240 V 5kf2 14/3/00 80H - Question 3 10 pts 3. Find the Thevenin 4 in equivalence across terminals ab. 20 9 2H fils a 36 cos...

Find the voltage across the 4 Q2 resistor in Fig. B. using ...

Find the voltage across the 4 Q2 resistor in Fig. B. using (a) Nodal analysis, (b) the Superposition theorem and (c) Thévenin's theorem. 402 7 202 2A 80 2V Fig. B For the network shown in Fig. A, determine the current in XL. Use both the Superposition theorem and Nodal analysis. ...

in 4 3R2 R33 4 Tasks: (a) (10 points) Decermine Theven...

in 4 3R2 R33 4 Tasks: (a) (10 points) Decermine Thevenin voltagebetween and B. (b) points) Determine Reb the Thevenin resistance etween (c) (10 points) Let R R3- 20and 2A.Choose Vaisequal to 1.V. V. 1.Rs- R. Tasks (a) Use nodal analysis t find Vzand Vr. Nocredit will begiven chan nodal ...

Linear Circuit Analysis Question (1) [40 points]: For the ...

Linear Circuit Analysis Question (1) [40 points]: For the Circuit shown, given that π(π‘) = 6π’(π‘)π, πΌ(π‘) = 4 (π‘)π΄, πΌπΏ1(0−) = 2π΄, πΌπΏ2(0−) = 6π΄, ππΆ(0−) = 0π, R=20 , L1=1H, L2=0.2H and C=0.5F do the following: a) [10 points] Draw...

Express the following in the form T 20, where the angle is i...

Express the following in the form T 20, where the angle is in the principal form and in the form a + ib. (a) 6 W= 3+ i (b) 10 w = 1 - Let z = x+iy. Describe in words the portion of the complex plane corresponding to the equation ziz = Imz. Or state whether problem has no solutions, i.e., is...

Task 1 Consider the following problem Uxx + uyy =0, (x,y) E...

Task 1 Consider the following problem Uxx + uyy =0, (x,y) ES = (0,1) X (0,1) u(x,0) = x, u(x,1) =1-x,u(0,y)= y, = = u(1,y) = 1 - y, (x,y) € as The region Qh is subdivided into a uniform grid of size h = 1/N. The following finite difference scheme is proposed to solve the elliptic equation o...

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