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# Test 2 - "W5 Michael ﬁgures{ﬁg'D‘...

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Unformatted text preview: "W5 Michael ﬁgures-{ﬁg 'D‘ ——/OG/806Oé TRANSMISSION LINES AND ELECTROMAGNETICS - ESE319 TEST 2: November 19, 2009 Time: 9:50 am to 11:10 am ANSWER ANY FOUR QUESTIONS (All Questions Carry Equal Marks) Closed Book PROBLEM# Name: ................................. .. PROBLEM 1: Two point charges Ql=18 ac, and Q2=72 uC are ﬁxed at points (0,0,0) and (3,0,0). Find the magnitude and polarity of a third charge Q3 which is in electrostatic equilibrium at the location (1,0,0). Q : (5J4C Q‘ : i 02 : 'VI‘C ‘22 t Z Q5 2 ( (I or 9) Q3 \$9163», x (W) (3.00) 2 E): “ Qt S} l 2,2 ~52“ Q; (\X 3 uneoﬂqz "h A ._._:- Q A i Q! E” {+5 ‘2 ii 33+ Oz 2%" (VF—EL}? 2 un& 2‘2 Q; Lin—E0 K, {811 (’5 Wu. PROBLEM 2: Consider the a parallel plate capacitor made with two circular conducting plate of radius 4 mm. Using Gauss’s law determine the electric ﬁeld and scalar potential between the parallel plates. The two conductive plates have a surface charge density of -10 pCfmm2 and 10 p.C/mm2 and are separated by 5 mm. The dielectric medium between the plates has a relative permitivitty of 9. @:J0pC/NW2 I g r“ "— LlX/Q'j M ( / A: m at : Ci l r _s_‘_ﬂggt We; (my 5 H o a m 7 w W“ °“”“““‘ + V" "I ' tm / Name: ................................. .. PROBLEM 3: a. Find the potential at a distance r from the center of a conducting sphere of radius p which carries charge +Q. b. A simple capacitor is made by placing two spheres of radii p at a distance d >> p apart. The spheres are far enough apart so the charge distributions are uniform on each. i) Find the potential difference between the spheres. ii) Find the capacitance of the system of two spheres. Name: PROBLEM 4: A rectangular loop carrying current I; is placed parallel to an inﬁnitely long wire carrying current I] . What is the total force experienced by the loop? am: we are 3mm 3; alga}, ht \A Pg' (no a 56 {ACE A K1 A "Ad/la A HOT jﬂdﬁiéfijh _, [‘4on de x ; £4011" jg; +£ch V: e 75’ O 4" ‘ :1}? 0 42 ‘m ya 3' PROBLEM 5: a) Using the Biot-Savart’s Law, calculate the magnetic ﬁelds lines due to a single current carrying loop. b) Sketch the magnetic ﬁelds lines due to a pair of current carrying loops, which are placed parallel . to each other and with the axis aligned along the z-axis. Consider both arrangements, that is, loops carrying current in the same and opposing directions. c) Discuss how a uniform magnetic ﬁeld may be obtained in the region between the pair of current carrying current loops. Name: ................................. .. ...
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