20115ee101_1_EE 101 Homework 4

20115ee101_1_EE 101 Homework 4 - ³ 2 ´´´´⃗ = ² 0.04...

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EE 101 Homework 4: DUE NOVEMBER 14TH Monday noon (12pm); (THERE IS A COLLECTION HW CABINET MARKED “EE101” IN ROOM 67-112 ON THE 6TH FLOOR OF ENGR IV.) 1. A long wire carrying a current I folds back with a semicircular bend of radius ‘ b ’ as in figure below. Determine the magnetic flux density at the center point P of the bend. 2. Assume an infinitely thin plate of current which is placed on X-Y plane (normal to Z plane) carrying the surface current with surface current density of 𝐽 𝑠 𝑥 . Find magnetic field (H) and magnetic flux density (B) at all points in the space. 3. The electric field of an electromagnetic wave 𝐸 �⃗ = 𝑥 𝐸 0 cos[ 10 8 𝜋 �𝑡 − 𝑧 𝑐 + 𝜃 ] is the sum of 𝐸 1 ����⃗ = 𝑥 0.03 sin[ 10 8 𝜋 �𝑡 − 𝑧 𝑐 ] and 𝐸 2 ����⃗ = 𝑥 0.04 cos[ 10
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Unformatted text preview: ³ 2 ´´´´⃗ = ² 0.04 cos[ 10 8 µ ¶· − ¸ ¹ º − µ 3 ] Find ³ and » . 4. a) Given that ¼ ´⃗ = y 2 cos(15 µ² ) sin (6 µ 10 9 · − ½¸ ) (A/m) in air, Find ³ ´⃗ and ½ . b) It is known that the electric field intensity of a spherical wave in free space is ³ ´⃗ = » ¾ ¿ À Á ÂÃÄ» cos ( Å· − ÆÇ ) Determine the magnetic field intensity ¼ and the value of Æ . 5. The ³ ´⃗-field of a uniform plane wave propagating in a dielectric medium is given by ³ ( · , ¸ ) = x 2 cos È 10 8 · − È 1 √ 3 É ¸É − y sin È 10 8 · − È 1 √ 3 É ¸É (a) Determine the frequency and wavelength of the wave (b) Find the corresponding ¼ ´⃗-field...
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