# Category: electro magnetics #### 4. A straight wire carrying the current I is situated on the z axis as shown Determine the magnetic flux through the x-y plane.

... #### 3. A vector magnetic potential is given as. Find the current density J bar.

... #### 2. A 10 m by 10 m square loop of wire is situated in the x-y plane with the center of the loop at the origin as shown bellow. The loop has a current of 10 A following clockwise (when viewed from above). Determine the magnetic flux destiny at (0 , 0 , 10).

... #### 1. The loop shown below consists of radical lines and segments of circles whose centers are at point P. Determine the magnetic field at P.

... #### 5. In the cylindrical region p 0.6mm. (4 pt.) (c) Is there a filamentary current at p =0? If so in a very thin wire, what is its current value? (2 pt.)

... #### 3. A charge with 1 is located at A(-2,3,0) in free space, and x = 1 and y = -1 are two perfectly planed. Find V at P(-5,2,1). The coordination distance is in meter. (10 pt.)

... #### (4) Two signals m1(t) and m2(t), both band-limited to 1 kHz, are to be transmitted simultaneously over a channel by the multiplexing scheme shown in Fig. 6. (a) Sketch the signal spectrum at point d. (b) Design a receiver to recover the signal m2(t) from the modulated signal at point d

... #### (3) In an amplitude modulation system, the message signal is given by Fig.5, and the carrier frequency is 2 kHz. The modulator output is

... #### (2) The Fourier transform of the triangle pulse g(t) in Fig.2 is given as G(f), use this information and the properties of the Fourier transform, to find the Fourier transforms of the signals shown in Fig. 3 and Fig. 4.

... #### (1) Find the correlation coefficient p for the signals x(t) and g(t) shown in Fig.1. (25 points)

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